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DTSTART;TZID=America/New_York:20180929T083000
DTEND;TZID=America/New_York:20180930T150000
DTSTAMP:20260525T065000
CREATED:20230715T084506Z
LAST-MODIFIED:20250328T145116Z
UID:10000090-1538209800-1538319600@cmsa.fas.harvard.edu
SUMMARY:F-Theory Workshop
DESCRIPTION:The CMSA hosted an F-Theory workshop September 29-30\, 2018. The workshop was held in room G10 of the CMSA\, located at 20 Garden Street\, Cambridge\, MA. \nYoutube Playlist  \nOrganizers: \n\nPaolo Aluffi (Florida State)\nLara B. Anderson (Virginia Tech)\nMboyo Esole (Northeastern)\nShing-Tung Yau (Harvard)\n\nSpeakers: \n\nMirjam Cvetic\, University of Pennsylvania\nTommaso de Fernex\, University of Utah\nJames Gray\, Virginia Tech\nJonathan Heckman\, University of Pennsylvania\nMonica Kang\, Harvard University\nSándor Kovács\, University of Washington\nAnatoly Libgober\, UIC\nMatilde Marcolli\, Caltech\, University of Toronto\, and Perimeter Institute\nWashington Taylor\, MIT\nCumrun Vafa\, Harvard University
URL:https://cmsa.fas.harvard.edu/event/f-theory-conference/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Workshop
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180926T175900
DTEND;TZID=America/New_York:20180926T175900
DTSTAMP:20260525T065000
CREATED:20240213T103107Z
LAST-MODIFIED:20240213T103107Z
UID:10002434-1537984740-1537984740@cmsa.fas.harvard.edu
SUMMARY:GR Seminar 9/26/2018
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/gr-seminar-9-26-2018/
CATEGORIES:General Relativity Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180924T175600
DTEND;TZID=America/New_York:20180924T175600
DTSTAMP:20260525T065000
CREATED:20240213T102402Z
LAST-MODIFIED:20240213T102402Z
UID:10002417-1537811760-1537811760@cmsa.fas.harvard.edu
SUMMARY:9/24/2018 Topological Aspects of Condensed Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/9-24-2018-topological-aspects-of-condensed-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180924T175500
DTEND;TZID=America/New_York:20180924T175500
DTSTAMP:20260525T065000
CREATED:20240213T101451Z
LAST-MODIFIED:20240213T101451Z
UID:10002406-1537811700-1537811700@cmsa.fas.harvard.edu
SUMMARY:9/24/2018 Math-Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/9-24-2018-math-physics-seminar/
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180917T175300
DTEND;TZID=America/New_York:20180917T175300
DTSTAMP:20260525T065000
CREATED:20240213T101059Z
LAST-MODIFIED:20240213T101059Z
UID:10002398-1537206780-1537206780@cmsa.fas.harvard.edu
SUMMARY:9/17/2018 Math-Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/9-17-2018-math-physics-seminar/
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180912T175200
DTEND;TZID=America/New_York:20180912T175200
DTSTAMP:20260525T065000
CREATED:20240213T100515Z
LAST-MODIFIED:20240213T100515Z
UID:10002387-1536774720-1536774720@cmsa.fas.harvard.edu
SUMMARY:9/12/2018 GR Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/9-12-2018-gr-seminar/
CATEGORIES:General Relativity Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180910T174100
DTEND;TZID=America/New_York:20180910T174100
DTSTAMP:20260525T065000
CREATED:20240213T103253Z
LAST-MODIFIED:20240213T103253Z
UID:10002438-1536601260-1536601260@cmsa.fas.harvard.edu
SUMMARY:9/10/2018 Math-Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/9-10-2018-math-physics-seminar/
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180910T103000
DTEND;TZID=America/New_York:20180910T120000
DTSTAMP:20260525T065000
CREATED:20240213T103024Z
LAST-MODIFIED:20240213T103024Z
UID:10002433-1536575400-1536580800@cmsa.fas.harvard.edu
SUMMARY:9/10/18 Topology Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/9-10-18-topology-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180829T173600
DTEND;TZID=America/New_York:20180829T173600
DTSTAMP:20260525T065000
CREATED:20240213T102633Z
LAST-MODIFIED:20240213T102633Z
UID:10002424-1535564160-1535564160@cmsa.fas.harvard.edu
SUMMARY:Topological Aspects of Condensed Matter Seminar
DESCRIPTION:As part of the Program on Topological Aspects of Condensed Matter\, a weekly seminar will be held on Mondays from 10:00-11:30pm in CMSA room G10. \n\n\n\nDate\nSpeaker\nTitle/Abstract\n\n\n8/29/2018\nZeng-Cheng Gu\nTitle: Towards a complete classification of symmetry protected topological phases for interacting fermions in three dimensions and a general group supercohomology theory \nAbstract: Classification and construction of symmetry protected topological (SPT) phases in interacting boson and fermion systems have become a fascinating theoretical direction in recent years. It has been shown that the (generalized) group cohomology theory or cobordism theory can give rise to a complete classification of SPT phases in interacting boson/spin systems. Nevertheless\, the construction and classification of SPT phases in interacting fermion systems are much more complicated\, especially in 3D. In this talk\, I will revisit this problem based on the equivalent class of fermionic symmetric local unitary (FSLU) transformations. I will show how to construct very general fixed point SPT wavefunctions for interacting fermion systems. I will also discuss the procedure of deriving a general group super-cohomology theory in arbitrary dimensions.\n\n\n9/10/2018\nDominic Else\, MIT \nVideo\nTitle: Phases and topology in periodically driven (Floquet) systems \nAbstract: I will give a pedagogical overview of new topological phenomena that occur in systems that are driven periodically in time (Floquet systems). As a warm-up\, I will review new topological invariants in free-fermion Floquet systems. Then\, I will discuss the richer physics that occurs in interacting Floquet phases\, stabilized in systems with strong quenched disorder by many-body-localization (MBL). Finally\, time permitting\, I will explain how to realize interacting topological phenomena in a metastable (“pre-thermal”) regime of a clean system.\n\n\n9/17/2018\nAdrian Po\, MIT \nVideo\nTitle: A modern solution to the old problem of symmetries in band theory \nAbstract: There are 230 space groups and 1\,651 magnetic space groups in three dimensions. Thankfully\, these are finite numbers\, and one might go about solving all the possible ways free electrons represent them. This is a central question in the nine-decade-old band theory\, which is long-thought to be solvable if only one had the time and patience to crank through all the cases. In this talk\, I would describe how this problem can be solved efficiently from the modern perspective of band topology. As a by-product\, we will describe a simple method to detect topologically nontrivial band insulators using only symmetry eigenvalues\, which offers great computational advantage compared to the traditional\, wave-function-based definitions of topological band invariants.\n\n\n9/24/2018\nMaxim Metlitski\nTitle: Surface Topological Order and a new ‘t Hooft Anomaly of Interaction Enabled 3+1D Fermion SPTs \nAbstract: Symmetry protected topological (SPT) phases have attracted a lot of attention in recent years. A key property of SPTs is the presence of non-trivial surface states. While for 1+1D and 2+1D SPTs the boundary must be either symmetry broken or gapless\, some 3+1D SPTs admit symmetric gapped surface states that support anyon excitation (intrinsic topological order). In all cases\, the boundary of an SPT is anomalous – it cannot be recreated without the bulk; furthermore\, the anomaly must “match” the bulk. I will review this bulk-boundary correspondence for 3d SPT phases of bosons with topologically ordered boundaries where it is fairly well understood. I will then proceed to describe recent advances in the understanding of strongly interacting 3+1D SPT phases of fermions and their topologically ordered surface states.\n\n\n10/1/2018\nCancelled\n\n\n\n10/9/2018 \nTuesday \n3:00-4:30pm\nSagar Vijay\nTitle: Fracton Phases of Matter \nAbstract:  Fracton phases are new kinds of highly-entangled quantum matter in three spatial dimensions that are characterized by gapped\, point-like excitations (“fractons”) that are strictly immobile at zero temperature\, and by degenerate ground-states that are locally indistinguishable.  Fracton excitations provide an alternative to Fermi or Bose statistics in three spatial dimensions\, and these states of matter are a gateway for exploring mechanisms for quantum information storage\, and for studying “slow” dynamical behavior in the absence of disorder. I will review exactly solvable models for these phases\, constructions of these states using well-studied two-dimensional topological phases\, and a model in which the fracton excitations carry a protected internal degeneracy\, which provides a natural generalization of non-Abelian anyons to three spatial dimensions.  I will then describe recent advances in categorizing these states of matter using finite-depth unitary transformations.\n\n\n10/15/2018\nEthan Lake\nTitle: A primer on higher symmetries \nAbstract: The notion of a higher symmetry\, namely a symmetry whose charged objects have a dimension greater than zero\, is proving to be very useful for organizing our understanding of gauge theories and topological phases of matter. Just like regular symmetries\, higher symmetries can be gauged\, spontaneously broken\, and can have anomalies. I will review these aspects of higher symmetries and motivate why beyond their conceptual utility\, they are often an indispensable tool for making statements about dualities and phase diagrams of theories with gauge fields.\n\n\n10/22/2018 \nRoom G02\nYin-Chen He\, Perimeter\nTitle: Emergent QED3 and QCD3 in condensed matter system \nAbstract: QED3-Chern-Simons and QCD3-Chern-Simons theories are interesting critical theories in the 2+1 dimension. These theories are described by gapless Dirac fermions interacting with dynamical gauge fields (U(1)\, SU(N)\, U(N)\, etc.) with a possible Chern-Simon term. These theories have fundamental importance as it will flow to the 3D conformal field theories and have interesting dualities in the infrared. Various of condensed matter system are described by these critical theories. I will introduce several examples including the Dirac spin liquid in the frustrated magnets (kagome\, triangular lattice)\, quantum phase transitions in the fractional quantum Hall systems and Kitaev materials.\n\n\n10/29/2018\nDominic Williamson\, Yale \nVideo\nTitle: Symmetry and topological order in tensor networks \nAbstract: I will present an overview of how topological states of matter with global symmetries can be described using tensor networks. First reviewing the classification of 1D symmetry-protected topological phases with matrix product states\, before moving on to the description of 2D symmetry-enriched topological phases with projected-entangled pair states.\n\n\n11/13/2018 \nTuesday \n3:00-4:30pm\nJason Alicea\, Caltech\nTitle: Time-crystalline topological superconductors\n\n\n11/19/2018\nX. G. Wen\, MIT \nVideo\nTitle: A classification of 3+1D topological orders \nAbstract: I will discuss a classification of 3+1D topological orders in terms of fusion 2 category. The 3+1D topological orders can be divided into two classes: the ones without emergent fermions and the ones with emergent fermions. The 3+1D topological orders with emergent fermions can be further divided into two classes: the ones without emergent Majorana zero mode and the ones with emergent Majorana zero mode. I will present pictures to understand those 3+1D topological orders.\n\n\n12/3/2018 \n*Room G02*\nClaudio Chamon\, Boston University\nTitle: Many-body scar states with topological properties in 1D\, 2D\, and 3D. \nAbstract: We construct (some) exact excited states of a class of non-integrable quantum many-body Hamiltonians in 1D\, 2D and 3D. These high energy many-body “scar” states have area law entanglement entropy\, and display properties usually associated to gapped ground states of symmetry protected topological phases or topologically ordered phases of matter\, including topological degeneracies.\n\n\n12/10/2018 \nRoom G02\nAnders Sandvik\, Boston University and Institute of Physics\, CAS\, Beijing\nTitle: Quantum Monte Carlo simulations of exotic states in 2D quantum magnets \nAbstract: Some exotic ground states of 2D quantum magnets can be accessed through sign-free quantum Monte Carlo simulations of certain “designer Hamiltonians”. I will discuss recent examples within the J-Q family of models\, where the standard Heisenberg exchange J on the square lattice is supplemented by multi-spin terms Q projecting correlated singlets\, such that dimer (columnar valence-bond) order is favored. In addition to a possible deconfined quantum critical point separating the Neel and dimer phases\, I will discuss recent work on a modified model where a rather strongly first-order transition between the Neel state and a plaquette-singlet-solid is associated with emergent O(4) symmetry up to length scales of at least 100 lattice spacings. This type of transition may be realized in SrCu2(BO3)2 under pressure. I will also discuss a random-singlet state obtained when randomness is introduced in a system with dimerized ground state. This type of state may be realized in some frustrated disordered quantum magnets.\n\n\n1/8/2019\nLukasz Fidkowski\, Univ. of Washington \nVideo\nTitle: Non-trivial quantum cellular automata in 3 dimensions \nAbstract: Motivated by studying the entanglement structure of certain symmetry protected topological phases\, we construct a non-trivial quantum cellular automaton in a Hilbert space for a 3d lattice of spin 1/2 degrees of freedom.  This is an operator which takes local operators to nearby local operators\, but is not locally generated. We discuss implications for the classification of SPT phases in equilibrium and Floquet settings.\n\n\n3/18/2019\nAri Turner\, Technion \nVideo\nTitle:  Trapping Excitations at Phantasmagoric Wave Vectors \nAbstract:  This talk will explain some properties of the fracton state devised by Jeongwan Haah. A fracton state has excitations that are extremely localized–it is impossible for them to move (unlike Anderson localization\, e.g.–Anderson localized excitations can move if there is an external field to provide energy). One can understand why in a simple way using “mod 2” Fourier analysis. I will explain this\, and also introduce “finite fields”\, which are the number systems one needs to define exponentials mod. 2.\n\n\n4/1/2019\nYi-Zhuang You (UCSD)\nTitle: Emergent Symmetry and Conserved Currents at Deconfined Quantum Critical Points \nAbstract: Noether’s theorem is one of the fundamental laws of physics\, relating continuous symmetries and conserved currents. Here we explore the role of Noether’s  theorem at the deconfined quantum critical point (DQCP)\, which is an exotic quantum phase transition beyond the Landau-Ginzburg-Wilson paradigm. It was expected that a larger continuous symmetry could emerge at the DQCP\, which\, if true\, should lead to conserved current at low energy. By identifying the emergent current fluctuation in the spin excitation spectrum\, we can quantitatively study the current-current correlation in large-scale quantum Monte Carlo simulations. Our results reveal the conservation of the emergent current\, as signified by the vanishing anomalous dimension of the current operator\, and hence provide supporting evidence for the emergent symmetry at the DQCP. We also extend our discussion of emergent conserved current to the recently proposed one-dimensional analog of DQCP and confirm the emergent O(2)xO(2) symmetry in that case. Finally\, I will briefly discuss the significance of our findings in a potential realization of DQCP in the Shastry-Sutherland lattice material SrCu2(BO3)2.\n\n\n4/8/2019\nAdam Nahum (Oxford)\nTitle: Emergent statistical mechanics of entanglement in random unitary circuits \nAbstract: I will talk about quantum-classical mappings for real-time observables in some simple many-body systems (random unitary circuits). Specifically I will discuss how (1) entanglement entropy growth and (2) two-point correlation functions in these systems can be related to partition functions for interacting random walks. If time permits I will mention a phase transition in the entanglement structure of a repeatedly measured quantum state.\n\n\n4/16/2019 \nLyman 425 \n1:30pm\nXie Chen (Calthech)\nTitle: Foliated Fracton Order \nAbstract: The quantum information study of quantum codes and quantum memory has led to the discovery of a new class of exactly solvable lattice models called the fracton models. The fracton models are similar to the better understood topological models in that they also support fractional excitations and have stable ground state degeneracy. But it is also clear that the fracton models exist beyond the realm of conventional topological order due to their extensive ground state degeneracy and the restricted motion of their fractional excitations. In this talk\, I will present a new framework\, which we call the “foliated fracton order”\, to capture the nontrivial nature of the order in a large class of fracton models. Such a framework not only clarifies the connection between various different models\, but also points to the direction of search for interesting new features.\n\n\n4/24/2019 \n10:30am\nMichael Freedman (Microsoft Station Q) \nVideo\nTitle: Quantum cellular automata in higher dimensions \nAbstract: I’ll discuss Joint work with Matt Hastings on local endomorphisms of the operator algebra. We found these have a cohomological invariant similar to that of an incompressible flow.\n\n\n4/26/2019 \n10:30am\nMaissam Barkeshli (University of Maryland) \nVideo\nTitle: Relative anomalies in (2+1)D symmetry enriched topological states \nAbstract: It has recently been understood that some patterns of symmetry fractionalization in topologically ordered phases of matter are anomalous\, in the sense that they can only occur at the surface of a higher dimensional symmetry-protected topological (SPT) state. In this talk I will explain some recent advances in our understanding of how to compute relative anomalies between different symmetry fractionalization classes in (2+1)D topological states. The theory applies to general types of symmetries\, including symmetries that permute anyon types and space-time reflection symmetries. This allows us to compute anomalies for more general types of space-time reflection symmetries than previously known methods.\n\n\n5/3/2019\nYuan-Ming Lu (Ohio State)\nTitle: Spontaneous symmetry breaking from anyon condensation \nAbstract: In the context of quantum spin liquids\, it is long known that the condensation of fractionalized excitations can inevitably break certain physical symmetries. For example\, condensing spinons will usually break spin rotation and time reversal symmetries. We generalize these phenomena to the context of a generic continuous quantum phase transition between symmetry enriched topological orders\, driven by anyon condensation. We provide two rules to determine whether a symmetry is enforced to break across an anyon condensation transition or not. Using a dimensional reduction scheme\, we establish a mapping between these symmetry-breaking anyon-condensation transitions in two spatial dimensions\, and deconfined quantum criticality in one spatial dimension.\n\n\n5/9/2019 \n10:30am\nMichael Zaletel (UC Berkeley)\nTitle: Three-partite entanglement in CFTs and chiral topological orders \nAbstract: While the entanglement entropy provides an essentially complete description of two-partite entanglement\, multi-partite entanglement is far richer\, with a concomitant zoo of possible measures. This talk will focus on applications of one such measure\, the “entanglement of purification\,” in many-body systems. I will first present a holographic prescription for calculating it which we can compare with numerical calculations. Interestingly\, we find that a 1+1D CFT on a ring contains a universal number of GHZ states for any tri-partition of the ring. Using this result I’ll conjecture a bulk entanglement diagnostic for 2+1D chiral orders\, and solicit the audience’s help in proving or disproving it.\n\n\n5/28/2019 \n10:30am\nMasaki Oshikawa (U Tokyo)\nTitle: Gauge invariance\, polarization\, and conductivity \n  \nAbstract: The large gauge transformation on a quantum many-body system under a periodic boundary condition has had numerous applications including generalizations of Lieb-Schultz-Mattis theorem. It is also deeply related to the electric polarization in insulators. I will discuss an application to a scaling of the fluctuation of the polarization in conductors\, and also to general constraints on the electric conductivity.\n\n\n7/18/2019\nEslam Khalaf (Harvard)\n\n\nTitle: Dynamical correlations in anomalous disordered wires \n\nAbstract: In a (multichannel) disordered wire\, classical diffusion at short times (large frequencies) gives way to Anderson localization at long times (small frequencies). I study what happens in a disordered wire with topologically protected channels\, e.g. a wire with unequal number of left and right movers which is realizable at the edge of a Quantum Hall system. In this case\, the classical dynamics are described by diffusion + drift\, but it is unclear what the effect of quantum corrections in the long time (small frequency) limit is.\n\nThe problem is described by a 0+1-dimensional supersymmetric (graded) non-linear sigma model with a topological WZW term and a scalar potential. The computation of the local dynamical correlations of this model is equivalent to finding the ground state (zero mode) of the Laplace-Beltrami operator on a symmetric superspace with specific scalar and vector potentials. Surprisingly\, I find that this zero mode has a relatively simple explicit integral representation in the Wigner-Dyson symmetry classes which has no counterpart in the absence of supersymmetry. This leads to an exact mapping between the local correlation functions in this 0+1D theory and observables in a 0+0D chiral random matrix problem.\n\nThe mapping is used to explicitly compute two simple dynamical observables: the diffusion probability of return and the correlation of local density of states. In the former\, we find that the interference effects change the exponential decay expected from drift-diffusion to a power law decay. In the latter\, we find that the local density of states exhibits statistical level attraction in contrast to the level repulsion expected in a a standard Anderson insulator. At the end\, I discuss possible relationship to the recently developed framework of non-Hermitian topological systems.
URL:https://cmsa.fas.harvard.edu/event/topological-aspects-of-condensed-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180827T092000
DTEND;TZID=America/New_York:20180828T151500
DTSTAMP:20260525T065000
CREATED:20230715T084116Z
LAST-MODIFIED:20250305T184118Z
UID:10000089-1535361600-1535469300@cmsa.fas.harvard.edu
SUMMARY:Kickoff Workshop on Topology and Quantum Phases of Matter
DESCRIPTION:On August 27-28\, 2018\, the CMSA will be hosting a Kickoff workshop on Topology and Quantum Phases of Matter. New ideas rooted in topology have recently had a big impact on condensed matter physics\, and have highlighted new connections with high energy physics\, mathematics and quantum information theory. Additionally\, these ideas have found applications in the design of photonic systems and of materials with novel mechanical properties. The aim of this program will be to deepen these connections by fostering discussion and seeding new collaborations within and across disciplines. \nThis workshop is a part of the CMSA’s program on Program on Topological Aspects of Condensed Matter\,  and will be the first of two workshops\, in addition to a visitor program and seminars. \nThe workshop will be held in room G10 of the CMSA\, located at 20 Garden Street\, Cambridge\, MA. \nSpeakers:  \n\nZhen Bi\, MIT\nMeng Cheng\, Yale\nDima Feldman\, Brown\nDominic Else\, UCSB\nLiang Fu\, MIT\nFabian Grusdt\, Harvard\nYing Fei Gu\, Harvard\nBert Halperin\, Harvard\nAnton Kapustin\, Caltech\nPatrick Lee\, MIT\nL. Mahadevan\, Harvard\nBrad Marston\, Brown\nMax Metlitski\, MIT\nEmil V. Prodan\, Yeshiva\nAchim Rosch\, University of Cologne\nMathias Scheurer\, Harvard\nMarin Soljacic\, MIT\nX. G. Wen\, MIT\nCenke Xu\, UCSB\nFrank Zhang\, Cornell
URL:https://cmsa.fas.harvard.edu/event/kickoff-workshop-on-topology-and-quantum-phases-of-matter/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Workshop
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Topological-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180827T090000
DTEND;TZID=America/New_York:20190505T170000
DTSTAMP:20260525T065000
CREATED:20230904T082011Z
LAST-MODIFIED:20250303T193339Z
UID:10000010-1535360400-1557075600@cmsa.fas.harvard.edu
SUMMARY:PROGRAM ON TOPOLOGICAL ASPECTS OF CONDENSED MATTER
DESCRIPTION:During Academic year 2018-19\, the CMSA will be hosting a Program on Topological Aspects of Condensed Matter. New ideas rooted in topology have recently had a big impact on condensed matter physics\, and have highlighted new connections with high energy physics\, mathematics and quantum information theory. Additionally\, these ideas have found applications in the design of photonic systems and of materials with novel mechanical properties. The aim of this program will be to deepen these connections by foster discussion and seeding new collaborations within and across disciplines. \nAs part of the Program\, the CMSA will be hosting two workshops: \n\nWorkshop on Topology and Quantum Phases of Matter (August 27-28\, 2018)\nWorkshop on Topological Aspects of Condensed Matter (September 10-11\, 2019)\n\n. \nAdditionally\, a weekly Topology Seminar will be held on Mondays from 10:00-11:30pm in CMSA room G10. \n\nHere is a partial list of the mathematicians who have indicated that they will attend part or all of this special program\n\n\n\n\n\nName\nTentative Visiting Dates\n\n\n\n\n\nJason Alicea \n\n11/12/2018-11/16/2018\n\n\nMaissam Barkeshli\n4/22/2019 – 4/26/2019\n\n\nXie Chen\n4/15-17/2019 4/19-21/2019 4/24-30/2019\n\n\n\nLukasz Fidkowski \n\n1/7/2019-1/11/2019\n\n\n\nZhengcheng Gu \n\n8/15/2018-8/30/2018 & 5/9/2019-5/19/2019\n\n\n\nYin Chen He \n\n10/14/2018-10/27/2018\n\n\nAnton Kapustin\n8/26/2018-8/30/2018 & 3/28/2019-4/5/2019\n\n\n\nMichael Levin \n\n3/11/2019-3/15/2019\n\n\nYuan-Ming Lu\n4/29/2019-6/01/2019\n\n\n\nAdam Nahum \n\n4/2/2019- 4/19/2019\n\n\n\nMasaki Oshikawa \n\n4/22/2019-5/22/2019\n\n\nChong Wang\n 10/22/2018-11/16/2018\n\n\n\nJuven Wang \n\n4/1/2019-4/16/2019\n\n\nCenke Xu\n 8/26/2018-10/1/2018\n\n\n\nYi-Zhuang You \n\n4/1/2019-4/19/2019\n\n\n\nMike Zaletel \n\n5/1/2019-5/10/2019
URL:https://cmsa.fas.harvard.edu/event/topological-aspects-of-condensed-matter/
LOCATION:CMSA 20 Garden Street Cambridge\, Massachusetts 02138 United States
CATEGORIES:Programs
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180823T083000
DTEND;TZID=America/New_York:20180824T163000
DTSTAMP:20260525T065000
CREATED:20230715T083801Z
LAST-MODIFIED:20250415T154139Z
UID:10000086-1535013000-1535128200@cmsa.fas.harvard.edu
SUMMARY:Big Data Conference 2018
DESCRIPTION:On August 23-24\, 2018 the CMSA hosted the fourth annual Conference on Big Data. The Conference featured speakers from the Harvard community as well as scholars from across the globe\, with talks focusing on computer science\, statistics\, math and physics\, and economics. \nThe talks were held in Science Center Hall B\, 1 Oxford Street. \nSpeakers:  \n\nMohammad Akbarpour\, Stanford\nEmily Breza\, Harvard\nFrancesca Dominici\, Harvard\nChiara Farronato\, Harvard\nKobi Gal\, Ben Gurion\nJonah Kallenbach\, Reverie Labs\nSamuel Kou\, Harvard\nLaura Kreidberg\, Harvard\nDanielle Li\, MIT\nLibby Mishkin\, Uber\nJosh Speagle\, Harvard\nWilliam Stein\, University of Washington\nAlex Teyltelboym\, University of Oxford\nSergiy Verstyuk\, CMSA/Harvard\n\nOrganizers:  \n\nShing-Tung Yau\, William Caspar Graustein Professor of Mathematics\, Harvard University\nScott Duke Kominers\, MBA Class of 1960 Associate Professor\, Harvard Business\nRichard Freeman\, Herbert Ascherman Professor of Economics\, Harvard University\nJun Liu\, Professor of Statistics\, Harvard University\nHorng-Tzer Yau\, Professor of Mathematics\, Harvard University
URL:https://cmsa.fas.harvard.edu/event/2018-big-data-conference-2/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Big Data Conference,Conference,Event
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Big-Data-2018-4.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180818T083000
DTEND;TZID=America/New_York:20180820T172000
DTSTAMP:20260525T065000
CREATED:20230715T083526Z
LAST-MODIFIED:20250304T213419Z
UID:10000084-1534581000-1534785600@cmsa.fas.harvard.edu
SUMMARY:From Algebraic Geometry to Vision and AI: A Symposium Celebrating the Mathematical Work of David Mumford
DESCRIPTION:On August 18 and 20\, 2018\, the Center of Mathematic Sciences and Applications and the Harvard University Mathematics Department hosted a conference on From Algebraic Geometry to Vision and AI: A Symposium Celebrating the Mathematical Work of David Mumford. The talks took place in Science Center\, Hall B. \nSaturday\, August 18th:  A day of talks on Vision\, AI and brain sciences \nMonday\, August 20th: a day of talks on Math \nSpeakers: \n\nStuart Geman\, Brown\nJanos Kollar\, Princeton\nTai Sing Lee\, CMU\nEmanuele Macri\, Northeastern\nJitendra Malik\, Berkeley / FAIR\nPeter Michor\, University of Vienna\nMichael Miller\, Johns Hopkins\nAaron Pixton\, MIT\nJayant Shah\, Northeastern\nJosh Tenenbaum\, MIT\nBurt Totaro\, UCLA\nAvi Wigderson\, IAS\nYing Nian Wu\, UCLA\nLaurent Younes\, Johns Hopkins\nSong-Chun Zhu\, UCLA\n\nOrganizers:\n\nChing-Li Chai\, University of Pennsylvania\nDavid Gu\, Stony Brook University\nAmnon Neeman\, Australian National University\nMark Nitzberg\, University of California at Berkeley\nYang Wang\, Hong Kong University of Science and Technology\nShing-Tung Yau\, Harvard University\nSong-Chun Zhu\, University of California\, Los Angeles\n\nPublication: \nPure and Applied Mathematics Quarterly\nSpecial Issue: In Honor of David Mumford\nGuest Editors: Ching-Li Chai\, Amnon Neeman \n 
URL:https://cmsa.fas.harvard.edu/event/from-algebraic-geometry-to-vision-and-ai-a-symposium-celebrating-the-mathematical-work-of-david-mumford/
LOCATION:Common Room\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Conference,Event
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Mumford-3.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180430T133000
DTEND;TZID=America/New_York:20180430T143000
DTSTAMP:20260525T065000
CREATED:20230801T175329Z
LAST-MODIFIED:20240213T102223Z
UID:10000080-1525095000-1525098600@cmsa.fas.harvard.edu
SUMMARY:4/30/2018 Special Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/4-30-2018-special-seminar/
CATEGORIES:Special Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180423T171500
DTEND;TZID=America/New_York:20180423T171500
DTSTAMP:20260525T065000
CREATED:20240213T101541Z
LAST-MODIFIED:20240213T101541Z
UID:10002407-1524503700-1524503700@cmsa.fas.harvard.edu
SUMMARY:4-23-2018 Math Physics
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/4-23-2018-math-physics/
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180420T171800
DTEND;TZID=America/New_York:20180420T171800
DTSTAMP:20260525T065000
CREATED:20240213T101921Z
LAST-MODIFIED:20240213T101921Z
UID:10002412-1524244680-1524244680@cmsa.fas.harvard.edu
SUMMARY:4-20-2018 Social Science Applications Forum
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/4-20-2018-social-science-applications-forum/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180417T120000
DTEND;TZID=America/New_York:20180417T133000
DTSTAMP:20260525T065000
CREATED:20240213T100552Z
LAST-MODIFIED:20240213T100938Z
UID:10002389-1523966400-1523971800@cmsa.fas.harvard.edu
SUMMARY:4-17-2018 Special Algebraic Geometry Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/4-17-2018-special-algebraic-geometry-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180416T171600
DTEND;TZID=America/New_York:20180416T171600
DTSTAMP:20260525T065000
CREATED:20240213T101737Z
LAST-MODIFIED:20240213T101737Z
UID:10002409-1523898960-1523898960@cmsa.fas.harvard.edu
SUMMARY:4-16-2018 Social Science Applications Forum
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/4-16-2018-social-science-applications-forum/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180416T120000
DTEND;TZID=America/New_York:20180416T120000
DTSTAMP:20260525T065000
CREATED:20240213T100723Z
LAST-MODIFIED:20240213T100747Z
UID:10002394-1523880000-1523880000@cmsa.fas.harvard.edu
SUMMARY:4-16-2018 Mathematical Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/4-16-2018-mathematical-physics-seminar/
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180413T163000
DTEND;TZID=America/New_York:20180413T173000
DTSTAMP:20260525T065000
CREATED:20240213T065558Z
LAST-MODIFIED:20240514T185400Z
UID:10002143-1523637000-1523640600@cmsa.fas.harvard.edu
SUMMARY:On the fibration structure of known Calabi-Yau threefolds
DESCRIPTION:Speaker: Washington Tayor (MIT) \nTitle: On the fibration structure of known Calabi-Yau threefolds \nAbstract: In recent years\, there is increasing evidence from a variety of directions\, including the physics of F-theory and new generalized CICY constructions\, that a large fraction of known Calabi-Yau manifolds have a genus one or elliptic fibration. In this talk I will describe recent work with Yu-Chien Huang on a systematic analysis of the fibration structure of known toric hypersurface Calabi-Yau threefolds. Among other results\, this analysis shows that every known Calabi-Yau threefold with either Hodge number exceeding 150 is genus one or elliptically fibered\, and suggests that the fraction of Calabi-Yau threefolds that are not genus one or elliptically fibered decreases roughly exponentially with h_{11}. I will also make some comments on the connection with the structure of triple intersection numbers in Calabi-Yau threefolds.
URL:https://cmsa.fas.harvard.edu/event/4-18-2018-colloquium/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/2018_04_13_11_01_32-e1523633302205.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180413T110000
DTEND;TZID=America/New_York:20180413T120000
DTSTAMP:20260525T065000
CREATED:20240213T101255Z
LAST-MODIFIED:20240213T101255Z
UID:10002403-1523617200-1523620800@cmsa.fas.harvard.edu
SUMMARY:4-13-2018 Mirror Symmetry Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/4-13-2018-mirror-symmetry-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180411T163000
DTEND;TZID=America/New_York:20180411T173000
DTSTAMP:20260525T065000
CREATED:20240213T065052Z
LAST-MODIFIED:20240515T144439Z
UID:10002134-1523464200-1523467800@cmsa.fas.harvard.edu
SUMMARY:Graph Structure in Polynomial Systems: Chordal Networks
DESCRIPTION:Speaker: Pablo Parillo (MIT) \nTitle: Graph Structure in Polynomial Systems: Chordal Networks \nAbstract: The sparsity structure of a system of polynomial equations or an optimization problem can be naturally described by a graph summarizing the interactions among the decision variables. It is natural to wonder whether the structure of this graph might help in computational algebraic geometry tasks (e.g.\, in solving the system). In this lecture we will provide a gentle introduction to this area\, focused on the key notions of chordality and treewidth\, which are of great importance in related areas such as numerical linear algebra\, database theory\, constraint satisfaction\, and graphical models. In particular\, we will discuss “chordal networks”\, a novel representation of structured polynomial systems that provides a computationally convenient decomposition of a polynomial ideal into simpler (triangular) polynomial sets\, while maintaining its underlying graphical structure. As we will illustrate through examples from different application domains\, algorithms based on chordal networks can significantly outperform existing techniques. Based on joint work with Diego Cifuentes (MIT).
URL:https://cmsa.fas.harvard.edu/event/4-11-2018-colloquium/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/2018_04_10_09_58_15-e1523369654177.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180409T120000
DTEND;TZID=America/New_York:20180409T120000
DTSTAMP:20260525T065000
CREATED:20240213T100332Z
LAST-MODIFIED:20240213T100837Z
UID:10002384-1523275200-1523275200@cmsa.fas.harvard.edu
SUMMARY:4-9-2018 Math Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/4-9-2018-math-physics-seminar/
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180409T090000
DTEND;TZID=America/New_York:20180413T153000
DTSTAMP:20260525T065000
CREATED:20230717T175359Z
LAST-MODIFIED:20250305T214334Z
UID:10000079-1523264400-1523633400@cmsa.fas.harvard.edu
SUMMARY:Workshop on Coding and Information Theory
DESCRIPTION:The workshop on coding and information theory will take place April 9-13\, 2018 at the Center of Mathematical Sciences and Applications\, located at 20 Garden Street\, Cambridge\, MA. \nThis workshop will focus on new developments in coding and information theory that sit at the intersection of combinatorics and complexity\, and will bring together researchers from several communities — coding theory\, information theory\, combinatorics\, and complexity theory — to exchange ideas and form collaborations to attack these problems. \nSquarely in this intersection of combinatorics and complexity\, locally testable/correctable codes and list-decodable codes both have deep connections to (and in some cases\, direct motivation from) complexity theory and pseudorandomness\, and recent progress in these areas has directly exploited and explored connections to combinatorics and graph theory.  One goal of this workshop is to push ahead on these and other topics that are in the purview of the year-long program.  Another goal is to highlight (a subset of) topics in coding and information theory which are especially ripe for collaboration between these communities.  Examples of such topics include polar codes; new results on Reed-Muller codes and their thresholds; coding for distributed storage and for DNA memories; coding for deletions and synchronization errors; storage capacity of graphs; zero-error information theory; bounds on codes using semidefinite programming; tensorization in distributed source and channel coding; and applications of information-theoretic methods in probability and combinatorics.  All these topics have attracted a great deal of recent interest in the coding and information theory communities\, and have rich connections to combinatorics and complexity which could benefit from further exploration and collaboration. \nParticipation: The workshop is open to participation by all interested researchers\, subject to capacity. \nA list of lodging options convenient to the Center can also be found on our recommended lodgings page. \nConfirmed participants include: \n\nEmmanuel Abbe\, Princeton University\nSimeon Ball\, Universitat Politècnica de Catalunya\nBoris Bukh\, Carnegie Mellon University\nMahdi Cheraghchi\, Imperial College London\nSivakanth Gopi\, Princeton University\nElena Grigorescu\, University of Purdue\nHamed Hassani\, University of Pennsylvania\nNavin Kashyap\, Indian Institute of Science\nYoung-Han Kim\, University of California\, San Diego\nSwastik Kopparty\, Rutgers University\nNati Linial\, Hebrew University of Jerusalem\nShachar Lovett\, University of California\, San Diego\nWilliam Martin\, Worcester Polytechnic Institute\nArya Mazumdar\, University of Massachusetts at Amherst\nOr Meir\, University of Haifa\nOlgica Milenkovic\, ECE Illinois\nChandra Nair\, Chinese University of Hong Kong\nYuval Peres\, Microsoft Research\nYury Polyanskiy\, Massachusetts Institute of Technology\nMaxim Raginsky\, University of Illinois at Urbana-Champaign\nSankeerth Rao Karingula\, UC San Diego\nAnkit Singh Rawat\, MIT\nNoga Ron-Zewi\, University of Haifa\nRon Roth\, Israel Institute of Technology\nAtri Rudra\, State University of New York\, Buffalo\nAlex Samorodnitsky\, Hebrew University of Jerusalem\nItzhak Tamo\, Tel Aviv University\nAmnon Ta-Shma\, Tel Aviv University\nHimanshu Tyagi\, Indian Institute of Science\nDavid Zuckerman\, University of Texas at Austin
URL:https://cmsa.fas.harvard.edu/event/workshop-on-coding-and-information-theory/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Workshop
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180405T090000
DTEND;TZID=America/New_York:20180407T170000
DTSTAMP:20260525T065000
CREATED:20230717T175058Z
LAST-MODIFIED:20250304T212649Z
UID:10000078-1522918800-1523120400@cmsa.fas.harvard.edu
SUMMARY:Simons Collaboration Workshop\, April 5-7\, 2018
DESCRIPTION:The CMSA will be hosting a three-day Simons Collaboration Workshop on Homological Mirror Symmetry and Hodge Theory on April 5-7\, 2018. The workshop will be held in room G10 of the CMSA\, located at 20 Garden Street\, Cambridge\, MA. \nPlease click here to register for this event.  We have space for up to 30 registrants on a first come\, first serve basis. \nWe may be able to provide some financial support for grad students and postdocs interested in this event.  If you are interested in funding\, please send a letter of support from your mentor to Hansol Hong. \nConfirmed Speakers: \n\nJacob Bourjaily (Niels Bohr Institute)\nMandy Cheung (Havard University)\nTristan Collins (Harvard University)\nYoosik Kim (Boston University)\nYu-Shen Lin (Harvard University)\nCheuk-Yu Mak (Cambridge University)\nYu Pan (MIT)\nMauricio Romo (Tsinghua University)\nShu-Heng Shao (IAS)\nZack Sylvan (Columbia University)\nDmitry Vaintrob (IAS)
URL:https://cmsa.fas.harvard.edu/event/simons-collaboration-workshop-april-5-7-2018/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Workshop
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Amplituhedron-0c.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180404T163000
DTEND;TZID=America/New_York:20180404T163000
DTSTAMP:20260525T065000
CREATED:20240213T064751Z
LAST-MODIFIED:20240515T174223Z
UID:10002129-1522859400-1522859400@cmsa.fas.harvard.edu
SUMMARY:Black Holes and Naked Singularities
DESCRIPTION:Speaker: Ramesh Narayan\, Department of Astronomy\, Harvard University \nTitle: Black Holes and Naked Singularities \nAbstract: Black Hole solutions in General Relativity contain Event Horizons and Singularities. Astrophysicists have discovered two populations of black hole candidates in the Universe: stellar-mass objects with masses in the range 5 to 30 solar masses\, and supermassive objects with masses in the range million to several billion solar masses. There is considerable evidence that these objects have Event Horizons. It thus appears that astronomical black hole candidates are true Black Holes. Direct evidence for Singularities is much harder to obtain since\, at least in the case of Black Holes\, the Singularities are hidden inside the Event Horizon. However\, General Relativity also permits Naked Singularities which are visible to external observers. Toy Naked Singularity models have been constructed\, and some observational features of accretion flows in these spacetimes have been worked out.
URL:https://cmsa.fas.harvard.edu/event/4-4-2018-colloquium/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-040418-e1522340269661.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180402T163000
DTEND;TZID=America/New_York:20180403T180000
DTSTAMP:20260525T065000
CREATED:20230717T174857Z
LAST-MODIFIED:20260218T203218Z
UID:10000076-1522686600-1522778400@cmsa.fas.harvard.edu
SUMMARY:Math Science Lectures in Honor of Raoul Bott\, April 2-3
DESCRIPTION:On April 2-3\, the CMSA will be hosting two lectures by Freddy Cachazo (Perimeter Institute) on “Geometry and Combinatorics in Particle Interactions.”  This will be the first of the new annual Bott Math Science Lecture Series hosted by the CMSA. \nThe lectures will take place from 4:30-5:30pm in Science Center\, Hall D. \n \n \n  \n 
URL:https://cmsa.fas.harvard.edu/event/math-science-lectures-in-honor-of-raoul-bott-april-2-3/
LOCATION:Harvard Science Center\, 1 Oxford Street\, Cambridge\, MA\, 02138
CATEGORIES:Event,Math Science Lectures in Honor of Raoul Bott,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Cachazo-e1519325938458.jpg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180402T120000
DTEND;TZID=America/New_York:20180402T133000
DTSTAMP:20260525T065000
CREATED:20240213T094751Z
LAST-MODIFIED:20240213T094751Z
UID:10002364-1522670400-1522675800@cmsa.fas.harvard.edu
SUMMARY:4-2-2018 Mathematical Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/4-2-2018-mathematical-physics-seminar/
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180328T163000
DTEND;TZID=America/New_York:20180328T173000
DTSTAMP:20260525T065000
CREATED:20240213T064501Z
LAST-MODIFIED:20240515T174531Z
UID:10002125-1522254600-1522258200@cmsa.fas.harvard.edu
SUMMARY:A Mean Field View of the Landscape of Two-Layers Neural Networks
DESCRIPTION:Speaker: Andrea Montanari (Stanford) \nTitle: A Mean Field View of the Landscape of Two-Layers Neural Networks \nAbstract: Multi-layer neural networks are among the most powerful models in machine learning and yet\, the fundamental reasons for this success defy mathematical understanding. Learning a neural network requires to optimize a highly non-convex and high-dimensional objective (risk function)\, a problem which is usually attacked using stochastic gradient descent (SGD). Does SGD converge to a global optimum of the risk or only to a local optimum? In the first case\, does this happen because local minima are absent\, or because SGD somehow avoids them? In the second\, why do local minima reached by SGD have good generalization properties? We consider a simple case\, namely two-layers neural networks\, and prove that –in a suitable scaling limit– the SGD dynamics is captured by a certain non-linear partial differential equation. We then consider several specific examples\, and show how the asymptotic description can be used to prove convergence of SGD to network with nearly-ideal generalization error. This description allows to ‘average-out’ some of the complexities of the landscape of neural networks\, and can be used to capture some important variants of SGD as well. [Based on joint work with Song Mei and Phan-Minh Nguyen]
URL:https://cmsa.fas.harvard.edu/event/3-28-2018-colloquium/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Colloquium-032818-e1521831836462-1.png
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180326T120000
DTEND;TZID=America/New_York:20180326T133000
DTSTAMP:20260525T065000
CREATED:20240213T094518Z
LAST-MODIFIED:20240213T094518Z
UID:10002362-1522065600-1522071000@cmsa.fas.harvard.edu
SUMMARY:3-26-2018 Math Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/3-26-2018-math-physics-seminar/
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
END:VCALENDAR