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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181022T182400
DTEND;TZID=America/New_York:20181022T182400
DTSTAMP:20260520T044124
CREATED:20240213T105010Z
LAST-MODIFIED:20240213T105010Z
UID:10002461-1540232640-1540232640@cmsa.fas.harvard.edu
SUMMARY:10/22/2018 Mathematical Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-22-2018-mathematical-physics-seminar/
LOCATION:MA
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181022T100000
DTEND;TZID=America/New_York:20181022T113000
DTSTAMP:20260520T044124
CREATED:20240213T104846Z
LAST-MODIFIED:20240213T104846Z
UID:10002459-1540202400-1540207800@cmsa.fas.harvard.edu
SUMMARY:10/22/2018 Topology Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-22-2018-topology-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181022T090000
DTEND;TZID=America/New_York:20190417T170000
DTSTAMP:20260520T044124
CREATED:20230904T082647Z
LAST-MODIFIED:20240105T154957Z
UID:10000009-1540198800-1555520400@cmsa.fas.harvard.edu
SUMMARY:Mathematical Biology
DESCRIPTION:During Academic year 2018-19\, the CMSA will be hosting a Program on Mathematical Biology. \nJust over a century ago\, the biologist\, mathematician and philologist D’Arcy Thompson wrote “On growth and form”. The book was a visionary synthesis of the geometric biology of form at the time. It also served as a call for mathematical and physical approaches to understanding the evolution and development of shape. \nIn the century since its publication\, we have seen a revolution in biology following the discovery of the genetic code\, which has uncovered the molecular and cellular basis for life\, combined with the ability to probe the chemical\, structural\, and dynamical nature of molecules\, cells\, tissues and organs across scales. In parallel\, we have seen a blossoming of our understanding of spatiotemporal patterning in physical systems\, and a gradual unveiling of the complexity of physical form. And in mathematics and computation\, there has been a revolution in terms of posing and solving problems at the intersection of computational geometry\, statistics and inference.  So\, how far are we from realizing a descriptive\, predictive and controllable theory of biological shape? \nIn Fall 2018\, CMSA will focus on a program that aims at recent mathematical advances in describing shape using geometry and statistics in a biological context\, while also considering a range of physical theories that can predict biological shape at scales ranging from macromolecular assemblies to whole organ systems \nThe CMSA will be hosting three workshops as part of this program. The Workshop on Morphometrics\, Morphogenesis and Mathematics will take place on October 22-26.  \nA workshop on Morphogenesis: Geometry and Physics will take place on December 3-6\, 2018. \nA workshop on Invariance and Geometry in Sensation\, Action and Cognition will take place on April 15-17\, 2019.
URL:https://cmsa.fas.harvard.edu/event/mathematical-biology/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Programs
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181022T083000
DTEND;TZID=America/New_York:20181024T140000
DTSTAMP:20260520T044124
CREATED:20230715T084844Z
LAST-MODIFIED:20250305T212456Z
UID:10000099-1540197000-1540389600@cmsa.fas.harvard.edu
SUMMARY:Workshop on Morphometrics\, Morphogenesis and Mathematics
DESCRIPTION:In Fall 2018\, the CMSA will host a Program on Mathematical Biology\, which aims to describe recent mathematical advances in using geometry and statistics in a biological context\, while also considering a range of physical theories that can predict biological shape at scales ranging from macromolecular assemblies to whole organ systems. \nThe plethora of natural shapes that surround us at every scale is both bewildering and astounding – from the electron micrograph of a polyhedral virus\, to the branching pattern of a gnarled tree to the convolutions in the brain. Even at the human scale\, the   shapes seen in a garden at the scale of a pollen grain\, a seed\, a sapling\, a root\, a flower or leaf are so numerous that “it is enough to drive the sanest man mad\,” wrote Darwin. Can we classify these shapes and understand their origins quantitatively? \nIn biology\, there is growing interest in and ability to quantify growth and form in the context of the size and shape of bacteria and other protists\, to understand how polymeric assemblies grow and shrink (in the cytoskeleton)\, and how cells divide\, change size and shape\, and move to organize tissues\, change their topology and geometry\, and link multiple scales and connect biochemical to mechanical aspects of these problems\, all in a self-regulated setting. \nTo understand these questions\, we need to describe shape (biomathematics)\, predict shape (biophysics)\, and design shape (bioengineering). \nFor example\, in mathematics there are some beautiful links to Nash’s embedding theorem\,  connections to quasi-conformal geometry\, Ricci flows and geometric PDE\, to Gromov’s h principle\, to geometrical singularities and singular geometries\, discrete and computational differential geometry\, to stochastic geometry and shape characterization (a la Grenander\, Mumford etc.). A nice question here is to use the large datasets (in 4D) and analyze them using ideas from statistical geometry (a la Taylor\, Adler) to look for similarities and differences across species during development\, and across evolution. \nIn physics\, there are questions of generalizing classical theories to include activity\, break the usual Galilean invariance\, as well as isotropy\, frame indifference\, homogeneity\, and create both agent (cell)-based and continuum theories for ordered\, active machines\, linking statistical to continuum mechanics\, and understanding the instabilities and patterns that arise. Active generalizations of liquid crystals\, polar materials\, polymers etc. are only just beginning to be explored and there are some nice physical analogs of biological growth/form that are yet to be studied. \nThe CMSA will be hosting a Workshop on Morphometrics\, Morphogenesis and Mathematics from October 22-24\, 2018 at the Center of Mathematical Sciences and Applications\, located at 20 Garden Street\, Cambridge\, MA. \nThe workshop is organized by L. Mahadevan (Harvard)\, O. Pourquie (Harvard)\, A. Srivastava (Florida). \nVideos of the talks\nConfirmed Speakers:\n\nArkhat Abzhanov\, Imperial College\nSiobhan Braybrook\, UCLA\nCassandra Extavour\, Harvard\nAnjali Goswami\, University College London\nDavid Gu\, Stony Brook\nJukka Jernvall\, Helsinki\nEric Klassen\, Florida State\nSayan Mukherjee\, Duke\nPeter Olver\, U Minnesota\nNipam Patel\, Berkeley\nStephanie Pierce\, Harvard\nKaren Sears\, UCLA\nAlain Trouve\, ENS-Cachan\, France\nLaurent Younes\, Johns Hopkins
URL:https://cmsa.fas.harvard.edu/event/workshop-on-morphometrics-morphogenesis-and-mathematics/
LOCATION:CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Event,Programs,Workshop
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181019T110000
DTEND;TZID=America/New_York:20181019T230000
DTSTAMP:20260520T044124
CREATED:20240213T105229Z
LAST-MODIFIED:20240213T105229Z
UID:10002464-1539946800-1539990000@cmsa.fas.harvard.edu
SUMMARY:10/19/2018 Mirror Symmetry Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-19-2018-mirror-symmetry-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181017T153000
DTEND;TZID=America/New_York:20181017T153000
DTSTAMP:20260520T044124
CREATED:20240213T110205Z
LAST-MODIFIED:20240213T110205Z
UID:10002470-1539790200-1539790200@cmsa.fas.harvard.edu
SUMMARY:10/17/2018 RM & PT Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-17-2018-rm-pt-seminar/
LOCATION:MA
CATEGORIES:Random Matrix & Probability Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181017T110000
DTEND;TZID=America/New_York:20181017T110000
DTSTAMP:20260520T044124
CREATED:20240213T104719Z
LAST-MODIFIED:20240213T104719Z
UID:10002455-1539774000-1539774000@cmsa.fas.harvard.edu
SUMMARY:10/17/2018 General Relativity Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-17-2018-general-relativity-seminar/
LOCATION:MA
CATEGORIES:General Relativity Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181015T181500
DTEND;TZID=America/New_York:20181015T181500
DTSTAMP:20260520T044124
CREATED:20240213T105537Z
LAST-MODIFIED:20240213T105537Z
UID:10002467-1539627300-1539627300@cmsa.fas.harvard.edu
SUMMARY:10/15/2018 Math Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-15-2018-math-physics-seminar/
LOCATION:MA
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181015T181400
DTEND;TZID=America/New_York:20181015T181400
DTSTAMP:20260520T044124
CREATED:20240213T105335Z
LAST-MODIFIED:20240213T105335Z
UID:10002465-1539627240-1539627240@cmsa.fas.harvard.edu
SUMMARY:10/15/2018 Topology Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-15-2018-topology-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181010T181200
DTEND;TZID=America/New_York:20181010T181200
DTSTAMP:20260520T044124
CREATED:20240305T093829Z
LAST-MODIFIED:20240305T093829Z
UID:10002903-1539195120-1539195120@cmsa.fas.harvard.edu
SUMMARY:10/10/2018 General Relativity Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-10-2018-general-relativity-seminar/
LOCATION:MA
CATEGORIES:General Relativity Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181010T181100
DTEND;TZID=America/New_York:20181010T181100
DTSTAMP:20260520T044124
CREATED:20240213T104555Z
LAST-MODIFIED:20240213T104555Z
UID:10002454-1539195060-1539195060@cmsa.fas.harvard.edu
SUMMARY:10/10/2018 RM & PT Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-10-2018-rm-pt-seminar/
LOCATION:MA
CATEGORIES:Random Matrix & Probability Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181009T180500
DTEND;TZID=America/New_York:20181009T180500
DTSTAMP:20260520T044124
CREATED:20240213T104106Z
LAST-MODIFIED:20240213T104106Z
UID:10002451-1539108300-1539108300@cmsa.fas.harvard.edu
SUMMARY:10/09/2018 Topological Aspects of Condensed Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-09-2018-topological-aspects-of-condensed-matter-seminar/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181008T180400
DTEND;TZID=America/New_York:20181008T180400
DTSTAMP:20260520T044124
CREATED:20240213T103733Z
LAST-MODIFIED:20240213T103733Z
UID:10002446-1539021840-1539021840@cmsa.fas.harvard.edu
SUMMARY:10/08/2018 Math-Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-08-2018-math-physics-seminar/
LOCATION:MA
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181003T180300
DTEND;TZID=America/New_York:20181003T180300
DTSTAMP:20260520T044124
CREATED:20240213T103540Z
LAST-MODIFIED:20240213T103540Z
UID:10002443-1538589780-1538589780@cmsa.fas.harvard.edu
SUMMARY:10/03/2018 GR Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-03-2018-gr-seminar/
LOCATION:MA
CATEGORIES:General Relativity Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181003T150000
DTEND;TZID=America/New_York:20181003T160000
DTSTAMP:20260520T044124
CREATED:20240213T102643Z
LAST-MODIFIED:20240213T102643Z
UID:10002426-1538578800-1538582400@cmsa.fas.harvard.edu
SUMMARY:10/03/2018 RMPT Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-03-2018-rmpt-seminar/
LOCATION:MA
CATEGORIES:Random Matrix & Probability Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20181001T180100
DTEND;TZID=America/New_York:20181001T180100
DTSTAMP:20260520T044124
CREATED:20240213T103301Z
LAST-MODIFIED:20240213T103301Z
UID:10002439-1538416860-1538416860@cmsa.fas.harvard.edu
SUMMARY:10/01/2018 Math-Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/10-01-2018-math-physics-seminar/
LOCATION:MA
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180929T083000
DTEND;TZID=America/New_York:20180930T150000
DTSTAMP:20260520T044124
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:20260520T044124
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/
LOCATION:MA
CATEGORIES:General Relativity Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180924T175600
DTEND;TZID=America/New_York:20180924T175600
DTSTAMP:20260520T044124
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/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180924T175500
DTEND;TZID=America/New_York:20180924T175500
DTSTAMP:20260520T044124
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/
LOCATION:MA
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180917T175300
DTEND;TZID=America/New_York:20180917T175300
DTSTAMP:20260520T044124
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/
LOCATION:MA
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180912T175200
DTEND;TZID=America/New_York:20180912T175200
DTSTAMP:20260520T044124
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/
LOCATION:MA
CATEGORIES:General Relativity Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180910T174100
DTEND;TZID=America/New_York:20180910T174100
DTSTAMP:20260520T044124
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/
LOCATION:MA
CATEGORIES:Mathematical Physics Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180910T103000
DTEND;TZID=America/New_York:20180910T120000
DTSTAMP:20260520T044124
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/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180829T173600
DTEND;TZID=America/New_York:20180829T173600
DTSTAMP:20260520T044124
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/
LOCATION:MA
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20180827T092000
DTEND;TZID=America/New_York:20180828T151500
DTSTAMP:20260520T044124
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:20260520T044124
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:20260520T044124
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:20260520T044124
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:20260520T044124
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/
LOCATION:MA
CATEGORIES:Special Seminar
END:VEVENT
END:VCALENDAR