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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200504T103000
DTEND;TZID=America/New_York:20200504T120000
DTSTAMP:20260503T175814
CREATED:20240209T102438Z
LAST-MODIFIED:20240209T102438Z
UID:10001824-1588588200-1588593600@cmsa.fas.harvard.edu
SUMMARY:5/4/2020 Mathematical Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-4-2020-mathematical-physics-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200504T103000
DTEND;TZID=America/New_York:20200504T123000
DTSTAMP:20260503T175814
CREATED:20240209T110935Z
LAST-MODIFIED:20240209T110935Z
UID:10001846-1588588200-1588595400@cmsa.fas.harvard.edu
SUMMARY:5/4/2020 Condensed Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-4-2020-condensed-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200504T130000
DTEND;TZID=America/New_York:20200504T140000
DTSTAMP:20260503T175814
CREATED:20230715T081933Z
LAST-MODIFIED:20250409T192434Z
UID:10000131-1588597200-1588600800@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture:  Rationality questions in algebraic geometry
DESCRIPTION:Joe Harris (Harvard) \nTitle: Rationality questions in algebraic geometry \nAbstract: Over the course of the history of algebraic geometry\, rationality questions — motivated by both geometric and arithmetic problems — have often driven the subject forward. The rationality or irrationality of cubic hypersurfaces in particular have led to the development of abelian integrals (dimension one)\, birational geometry (dimension two) and Hodge theory (dimension 3). But there remained much we didn’t understand about the condition of rationality\, such as how it behaves in families. However\, there has been recent progress: work of Hassett\, Tschinkel\, Pirutka and others\, working with examples in dimension 4\, showed that it is in general neither an open condition nor a closed one\, but does behave well with respect to specialization. In this talk I’ll try to give an overview of the history of rationality and the current state of our knowledge. \nVideo
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_harris/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Harris_updated-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200504T150000
DTEND;TZID=America/New_York:20200504T160000
DTSTAMP:20260503T175814
CREATED:20230715T081344Z
LAST-MODIFIED:20240227T092426Z
UID:10000133-1588604400-1588608000@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: Quantum Groups
DESCRIPTION:Pavel Etingof (MIT) \nTitle: Quantum Groups \nAbstract: The theory of quantum groups developed in mid 1980s from attempts to construct and understand solutions of the quantum Yang-Baxter equation\, an important equation arising in quantum field theory and statistical mechanics. Since then\, it has grown into a vast subject with profound connections to many areas of mathematics\, such as representation theory\, the Langlands program\, low-dimensional topology\, category theory\, enumerative geometry\, quantum computation\, algebraic combinatorics\, conformal field theory\, integrable systems\, integrable probability\, and others. I will review some of the main ideas and examples of quantum groups and try to briefly describe some of the applications. \nVideo | Slides
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_etingof/
LOCATION:Virtual
CATEGORIES:Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Etingof-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200505T110000
DTEND;TZID=America/New_York:20200505T120000
DTSTAMP:20260503T175814
CREATED:20230715T082325Z
LAST-MODIFIED:20240227T093025Z
UID:10000132-1588676400-1588680000@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: Black Hole Formation
DESCRIPTION:Lydia Bieri (University of Michigan) \nTitle: Black Hole Formation \nAbstract: Can black holes form through the focusing of gravitational waves? This was an outstanding question since the early days of general relativity. In his breakthrough result of 2008\, Demetrios Chrstodoulou answered this question with “Yes!” In order to investigate this result\, we will delve deeper into the dynamical mathematical structures of the Einstein equations. Black holes are related to the presence of trapped surfaces in the spacetime manifold. Christodoulou proved that in the regime of pure general relativity and for arbitrarily dispersed initial data\, trapped surfaces form through the focusing of gravitational waves provided the incoming energy is large enough in a precisely defined way. The proof combines new ideas from geometric analysis and nonlinear partial differential equations as well as it introduces new methods to solve large data problems. These methods have many applications beyond general relativity. D. Christodoulou’s result was generalized in various directions by many authors. It launched mathematical activities going into multiple fields in mathematics and physics. In this talk\, we will discuss the mathematical framework of the above question. Then we will outline the main ideas of Christodoulou’s result and its generalizations\, show relations to other questions and give an overview of implications in other fields. \nVideo
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_bieri/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Bieri-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200506T103000
DTEND;TZID=America/New_York:20200506T120000
DTSTAMP:20260503T175814
CREATED:20240209T101359Z
LAST-MODIFIED:20240216T085450Z
UID:10001819-1588761000-1588766400@cmsa.fas.harvard.edu
SUMMARY:5/6/2020 Quantum Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-6-2020-quantum-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200506T130000
DTEND;TZID=America/New_York:20200506T140000
DTSTAMP:20260503T175814
CREATED:20230715T082607Z
LAST-MODIFIED:20250328T201043Z
UID:10000134-1588770000-1588773600@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: My life and times with the sporadic simple groups
DESCRIPTION:Robert Griess (University of Michigan) \nTitle: My life and times with the sporadic simple groups \nAbstract: Five sporadic simple groups were proposed in 19th century and 21 additional ones arose during the period 1965-1975. There were many discussions about the nature of finite simple groups and how sporadic groups are placed in mathematics. While in mathematics grad school at University of Chicago\,  I became fascinated with the unfolding story of sporadic simple groups. It involved theory\, detective work and experiments. During this lecture\, I will describe some of the people\, important ideas and evolution of thinking about sporadic simple groups. Most should be accessible to a general mathematical audience. \nVideo | Slides
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_griess/
LOCATION:Virtual
CATEGORIES:Math Science Literature Lecture Series,Public Lecture,Special Lectures
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Griess-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200506T140000
DTEND;TZID=America/New_York:20200506T150000
DTSTAMP:20260503T175814
CREATED:20240209T102308Z
LAST-MODIFIED:20240209T102308Z
UID:10001823-1588773600-1588777200@cmsa.fas.harvard.edu
SUMMARY:5/6/2020 Random Matrix and Probability Theory Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-6-2020-random-matrix-and-probability-theory-seminar/
CATEGORIES:Random Matrix & Probability Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200507T103000
DTEND;TZID=America/New_York:20200507T120000
DTSTAMP:20260503T175814
CREATED:20240209T102037Z
LAST-MODIFIED:20240209T102037Z
UID:10001822-1588847400-1588852800@cmsa.fas.harvard.edu
SUMMARY:5/7/2020 Condensed Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-7-2020-condensed-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200508T110000
DTEND;TZID=America/New_York:20200508T110000
DTSTAMP:20260503T175814
CREATED:20240209T102722Z
LAST-MODIFIED:20240216T090143Z
UID:10001825-1588935600-1588935600@cmsa.fas.harvard.edu
SUMMARY:5/8/2020 General Relativity Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-8-2020-general-relativity-seminar/
CATEGORIES:General Relativity Seminar,Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200513T103000
DTEND;TZID=America/New_York:20200513T120000
DTSTAMP:20260503T175814
CREATED:20240209T094925Z
LAST-MODIFIED:20240209T094925Z
UID:10001816-1589365800-1589371200@cmsa.fas.harvard.edu
SUMMARY:5/13/2020 Quantum Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-13-2020-quantum-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200513T140000
DTEND;TZID=America/New_York:20200513T150000
DTSTAMP:20260503T175814
CREATED:20240209T103013Z
LAST-MODIFIED:20240209T103013Z
UID:10001827-1589378400-1589382000@cmsa.fas.harvard.edu
SUMMARY:5/13/2020 Random Matrix and Probability Theory Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-13-2020-random-matrix-and-probability-theory-seminar/
CATEGORIES:Random Matrix & Probability Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200514T103000
DTEND;TZID=America/New_York:20200514T120000
DTSTAMP:20260503T175814
CREATED:20240209T095251Z
LAST-MODIFIED:20240209T095251Z
UID:10001817-1589452200-1589457600@cmsa.fas.harvard.edu
SUMMARY:5/14/2020 Condensed Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-14-2020-condensed-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200515T110000
DTEND;TZID=America/New_York:20200515T110000
DTSTAMP:20260503T175814
CREATED:20240209T103347Z
LAST-MODIFIED:20240209T104016Z
UID:10001829-1589540400-1589540400@cmsa.fas.harvard.edu
SUMMARY:5/15/2020 General Relativity Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-15-2020-general-relativity-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200515T130000
DTEND;TZID=America/New_York:20200515T140000
DTSTAMP:20260503T175814
CREATED:20240209T105339Z
LAST-MODIFIED:20240209T105339Z
UID:10001835-1589547600-1589551200@cmsa.fas.harvard.edu
SUMMARY:5/15/2020 Math Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-15-2020-math-physics-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200520T103000
DTEND;TZID=America/New_York:20200520T120000
DTSTAMP:20260503T175814
CREATED:20240209T105757Z
LAST-MODIFIED:20240209T105835Z
UID:10001838-1589970600-1589976000@cmsa.fas.harvard.edu
SUMMARY:5/20/2020 Quantum Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-20-2020-quantum-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200520T140000
DTEND;TZID=America/New_York:20200520T150000
DTSTAMP:20260503T175814
CREATED:20240209T105531Z
LAST-MODIFIED:20240209T105531Z
UID:10001836-1589983200-1589986800@cmsa.fas.harvard.edu
SUMMARY:5/20/2020 Random Matrix and Probability Theory Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-20-2020-random-matrix-and-probability-theory-seminar/
CATEGORIES:Random Matrix & Probability Theory Seminar
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200521T103000
DTEND;TZID=America/New_York:20200521T120000
DTSTAMP:20260503T175814
CREATED:20240209T104912Z
LAST-MODIFIED:20240216T091848Z
UID:10001832-1590057000-1590062400@cmsa.fas.harvard.edu
SUMMARY:5/21/2020 Condensed Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-21-2020-condensed-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200522T123000
DTEND;TZID=America/New_York:20200522T133000
DTSTAMP:20260503T175814
CREATED:20230715T082921Z
LAST-MODIFIED:20240227T091238Z
UID:10000135-1590150600-1590154200@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: From string theory and Moonshine to vertex algebras
DESCRIPTION:Bong Lian (Brandeis) \nTitle: From string theory and Moonshine to vertex algebras \nAbstract: This is a brief survey of the early historical development of vertex algebras\, beginning in the seventies from Physics and Representation Theory. We shall also discuss some of the ideas that led to various early formulations of the theory’s foundation\, and their relationships\, as well as some of the subsequent and recent developments. The lecture is aimed at a general audience. \nSlides | Video
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_lian/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Lian-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200522T123000
DTEND;TZID=America/New_York:20200522T133000
DTSTAMP:20260503T175814
CREATED:20230715T083128Z
LAST-MODIFIED:20240209T054130Z
UID:10000136-1590150600-1590154200@cmsa.fas.harvard.edu
SUMMARY:CMSA Math-Science Literature Lecture: Four-dimensional topology
DESCRIPTION:Ciprian Manolescu (Stanford) \nTitle: Four-dimensional topology \nAbstract: I will outline the history of four-dimensional topology. Some major events were the work of Donaldson and Freedman from 1982\, and the introduction of the Seiberg-Witten equations in 1994. I will discuss these\, and then move on to what has been done in the last 20 years\, when the focus shifted to four-manifolds with boundary and cobordisms. Floer homology has led to numerous applications\, and recently there have also been a few novel results (and proofs of old results) using Khovanov homology. The talk will be accessible to a general mathematical audience. \nVideo
URL:https://cmsa.fas.harvard.edu/event/cmsa-math-science-literature-lecture_manolescu/
LOCATION:Virtual
CATEGORIES:Event,Math Science Literature Lecture Series
ATTACH;FMTTYPE=image/jpeg:https://cmsa.fas.harvard.edu/media/Lecture_Manolescu-pdf.jpeg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200527T133000
DTEND;TZID=America/New_York:20200527T150000
DTSTAMP:20260503T175814
CREATED:20240209T110154Z
LAST-MODIFIED:20240209T110154Z
UID:10001841-1590586200-1590591600@cmsa.fas.harvard.edu
SUMMARY:5/27/2020 Quantum Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-27-2020-quantum-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200528T103000
DTEND;TZID=America/New_York:20200528T120000
DTSTAMP:20260503T175814
CREATED:20240209T102017Z
LAST-MODIFIED:20240209T102017Z
UID:10001821-1590661800-1590667200@cmsa.fas.harvard.edu
SUMMARY:5/28/2020 Condensed Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/5-28-2020-condensed-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200602T093000
DTEND;TZID=America/New_York:20200602T113000
DTSTAMP:20260503T175814
CREATED:20240209T111432Z
LAST-MODIFIED:20240209T111432Z
UID:10001848-1591090200-1591097400@cmsa.fas.harvard.edu
SUMMARY:6/2/2020 Geometry Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/6-2-2020-geometry-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200602T093000
DTEND;TZID=America/New_York:20201222T213000
DTSTAMP:20260503T175814
CREATED:20240124T082835Z
LAST-MODIFIED:20240124T082835Z
UID:10001335-1591090200-1608672600@cmsa.fas.harvard.edu
SUMMARY:Geometry and Physics Seminar
DESCRIPTION:During the summer of 2020\, the CMSA will be hosting a new Geometry Seminar. Talks will be scheduled on Mondays at 9:30pm or Tuesdays at 9:30am\, depending on the location of the speaker. This seminar is organized by Tsung-Ju Lee\, Yoosik Kim\, and Du Pei. \nTo learn how to attend this seminar\, please contact Tsung-Ju Lee (tjlee@cmsa.fas.harvard.edu). \n\n\n\n\nDate\nSpeaker\nTitle/Abstract\n\n\n\n\n6/2/2020\n9:30am ET\nSiu-Cheong Lau\nBoston University\nThis meeting will be taking place virtually on Zoom. \nSpeaker: Equivariant Floer theory and SYZ mirror symmetry \nAbstract: In this talk\, we will first review a symplectic realization of the SYZ program and some of its applications. Then I will explain some recent works on equivariant Lagrangian Floer theory and disc potentials of immersed SYZ fibers. They are joint works with Hansol Hong\, Yoosik Kim and Xiao Zheng.\n\n\n6/8/2020\n9:30pm ET\nYoungjin Bae (KIAS)\nThis meeting will be taking place virtually on Zoom. \nTitle: Legendrian graphs and their invariants \nAbstract: Legendrian graphs naturally appear in the study of Weinstein manifolds with a singular Lagrangian skeleton\, and a tangle decomposition of Legendrian submanifolds. I will introduce various invariant of Legendrian graphs including DGA type\, polynomial type\, sheaf theoretic one\, and their relationship. This is joint work with Byunghee An\, and partially with Tamas Kalman and Tao Su.\n\n\n6/16/2020\n9:30am ET\nMichael McBreen (CMSA)\nThis meeting will be taking place virtually on Zoom. \nTitle: Loops in hypertoric varieties and symplectic duality \nAbstract: Hypertoric varieties are algebraic symplectic varieties associated to graphs\, or more generally certain hyperplane arrangements. They make many appearances in modern geometric representation theory. I will discuss certain infinite dimensional or infinite type generalizations of hypertoric varieties which occur in the study of enumerative invariants\, focusing on some elementary examples. Joint work with Artan Sheshmani and Shing-Tung Yau.\n\n\n6/22/2020\n9:30pm ET\nZiming Ma (CUHK)\nThis meeting will be taking place virtually on Zoom. \nTitle: The geometry of Maurer–Cartan equation near degenerate Calabi–Yau varieties \nAbstract: In this talk\, we construct a \(dgBV algebra PV*(X)\) associated to a possibly degenerate Calabi–Yau variety X equipped with local thickening data. This gives a version of the Kodaira–Spencer dgLa which is applicable to degenerated spaces including both log smooth or maximally degenerated Calabi–Yau. We use this to prove an unobstructedness result about the smoothing of degenerated Log Calabi–Yau varieties X satisfying Hodge–deRham degeneracy property for cohomology of X\, in the spirit of Kontsevich–Katzarkov–Pantev. This is a joint work with Kwokwai Chan and Naichung Conan Leung.\n\n\n6/30/2020\n9:30pm ET\nSunghyuk Park (Caltech)\nThis meeting will be taking place virtually on Zoom. \nTitle: 3-manifolds\, q-series\, and topological strings \nAbstract: \(\hat{Z}\) is an invariant of 3-manifolds valued in q-series (i.e. power series in q with integer coefficients)\, which has interesting modular properties. While originally from physics\, this invariant has been mathematically constructed for a big class of 3-manifolds\, and conjecturally it can be extended to all 3-manifolds. In this talk\, I will give a gentle introduction to \(\hat{Z}\) and what is known about it\, as well as highlighting some recent developments\, including the use of R-matrix\, generalization to higher rank\, large N-limit and interpretation as open topological string partition functions.\n\n\n7/7/2020\n9:30am ET\nJeremy Lane  (McMaster University)\nThis meeting will be taking place virtually on Zoom. \nTitle: Collective integrable systems and global action-angle coordinates \nAbstract: A “collective integrable system” on a symplectic manifold is a commutative integrable system constructed from a Hamiltonian action of a non-commutative Lie group. Motivated by the example of Gelfand-Zeitlin systems\, we give a construction of collective integrable systems that generate a Hamiltonian torus action on a dense subset of any Hamiltonian K-manifold\, where K is any compact connected Lie group. In the case where the Hamiltonian K-manifold is compact and multiplicity free\, the resulting Hamiltonian torus action is completely integrable and yields global action angle coordinates.  Moreover\, the image of the moment map is a (non-simple) convex polytope.\n\n\n7/13/2020\n9:30pm ET\nPo-Shen Hsin (Caltech)\nThis meeting will be taking place virtually on Zoom. \nTitle: Berry phase in quantum field theory \nAbstract: We will discuss Berry phase in family of quantum field theories using effective field theory. The family is labelled by parameters which we promote to be spacetime-dependent sigma model background fields. The Berry phase is equivalent to Wess-Zumino-Witten action for the sigma model. We use Berry phase to study diabolic points in the phase diagram of the quantum field theory and discuss applications to deconfined quantum criticality and new tests for boson/fermion dualities in \((2+1)d\).\n\n\n7/20/2020\n9:30pm ET\nSangwook Lee (KIAS)\nThis meeting will be taking place virtually on Zoom. \nTitle: A geometric construction of orbifold Jacobian algebras \nAbstract: We review the definition of a twisted Jacobian algebra of a Landau-Ginzburg orbifold due to Kaufmann et al. Then we construct an A-infinity algebra of a weakly unobstructed Lagrangian submanifold in a symplectic orbifold. We work on an elliptic orbifold sphere and see that above two algebras are isomorphic\, and furthermore their structure constants are related by a modular identity which was used to prove the mirror symmetry of closed string pairings. This is a joint work with Cheol-Hyun Cho.\n\n\n7/27/2020 9:30pm ET\nMao Sheng (USTC)\nThis meeting will be taking place virtually on Zoom. \nTitle: Parabolic de Rham bundles: motivic vs periodic \nAbstract: Let \($C$\) be a complex smooth projective curve. We consider the set of parabolic de Rham bundles over \($C$\) (with rational weights in parabolic structure). Many examples arise from geometry: let \($f: X\to U$\) be a smooth projective morphism over some nonempty Zariski open subset \($U\subset C$\). Then the Deligne–Iyer–Simpson canonical parabolic extension of the Gauss–Manin systems associated to \($f$\) provides such examples. We call a parabolic de Rham bundle \emph{motivic}\, if it appears as a direct summand of such an example of geometric origin. It is a deep question in the theory of linear ordinary differential equations and in Hodge theory\, to get a characterization of motivic parabolic de Rham bundles. In this talk\, I introduce another subcategory of parabolic de Rham bundles\, the so-called \emph{periodic} parabolic de Rham bundles. It is based on the work of Lan–Sheng–Zuo on Higgs-de Rham flows\, with aim towards linking the Simpson correspondence over the field of complex numbers and the Ogus–Vologodsky correspondence over the finite fields. We show that motivic parabolic de Rham bundles are periodic\, and conjecture that they are all periodic parabolic de Rham bundles. The conjecture for rank one case follows from the solution of Grothendieck–Katz p-curvature conjecture\, and for some versions of rigid cases should follow from Katz’s work on rigid local systems. The conjecture implies that in a spread-out of any complex elliptic curve\, there will be infinitely many supersingular primes\, a result of N. Elkies for rational elliptic curves. Among other implications of the conjecture\, we would like to single out the conjectural arithmetic Simpson correspondence\, which asserts that the grading functor is an equivalence of categories from the category of periodic parabolic de Rham bundles to the category of periodic parabolic Higgs bundles. This is a joint work in progress with R. Krishnamoorthy.\n\n\n8/4/2020\n9:30am Et\nPavel Safronov (University of Zurich)\nThis meeting will be taking place virtually on Zoom. \nTitle: Kapustin–Witten TFT on 3-manifolds and skein modules\n\nAbstract: Kapustin and Witten have studied a one-parameter family of topological twists of \(4d N=4\) super Yang–Mills. They have shown that the categories of boundary conditions on a surface are exactly the categories participating in the geometric Langlands program of Beilinson and Drinfeld. Moreover\, S-duality is manifested as a quantum geometric Langlands duality after the topological twist. In this talk I will describe some mathematical formalizations of Hilbert spaces of states on a 3-manifold. I will outline an equivalence between two such possible formalizations: complexified Floer homology of Abouzaid–Manolescu and skein modules. This is a report on work in progress joint with Sam Gunningham.\n\n\n8/11/2020\n9:30am\nXujia Chen (Stonybrook)\nThis meeting will be taking place virtually on Zoom. \nTitle: Lifting cobordisms and Kontsevich-type recursions for counts of real curves \nAbstract: Kontsevich’s recursion\, proved in the early 90s\, is a recursion formula for the counts of rational holomorphic curves in complex manifolds. For complex fourfolds and sixfolds with a real structure (i.e. a conjugation)\, signed invariant counts of real rational holomorphic curves were defined by Welschinger in 2003. Solomon interpreted Welschinger’s invariants as holomorphic disk counts in 2006 and proposed Kontsevich-type recursions for them in 2007\, along with an outline of a potential approach of proving them. For many symplectic fourfolds and sixfolds\, these recursions determine all invariants from basic inputs. We establish Solomon’s recursions by re-interpreting his disk counts as degrees of relatively oriented pseudocycles from moduli spaces of stable real maps and lifting cobordisms from Deligne-Mumford moduli spaces of stable real curves (which is different from Solomon’s approach).\n\n\n8/18/2020\n9:30am ET\nDongmin Gang (Asia Pacific Center for Theoretical Physics)\nThis meeting will be taking place virtually on Zoom. \nTitle: M-theoretic genesis of topological phases \nAbstract:  I will talk about a novel way of constructing \((2+1)d\) topological phases using M-theory. They emerge as macroscopic world-volume theories of M5-branes wrapped on non-hyperbolic 3-manifolds. After explaining the algorithm of extracting modular structures of the topological phase  from topological data of the 3-manifold\, I will discuss the possibility of full classification of topological orders via the geometrical construction.\n\n\n8/25/2020\n9:30pm ET\nMykola Dedushenko (Caltech)\nThis meeting will be taking place virtually on Zoom. \nTitle: Algebras and traces at the boundary of \(4d N=4\) SYM \nAbstract: I will describe how the structure of supersymmetric boundary correlators in \(4d N=4\) SYM can be encoded in a class of associative algebras equipped with twisted traces. In the case of interfaces\, this yields a new connection to integrability.
URL:https://cmsa.fas.harvard.edu/event/geometry-and-physics-seminar/
CATEGORIES:Geometry and Physics Seminar
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200603T103000
DTEND;TZID=America/New_York:20200603T120000
DTSTAMP:20260503T175814
CREATED:20240209T110545Z
LAST-MODIFIED:20240209T110545Z
UID:10001844-1591180200-1591185600@cmsa.fas.harvard.edu
SUMMARY:6/3/2020 Quantum Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/6-3-2020-quantum-matter-seminar/
CATEGORIES:Seminars
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200608T213000
DTEND;TZID=America/New_York:20200608T223000
DTSTAMP:20260503T175814
CREATED:20240216T070036Z
LAST-MODIFIED:20240216T070036Z
UID:10002750-1591651800-1591655400@cmsa.fas.harvard.edu
SUMMARY:6/8/2020 Geometry and Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/6-8-2020-geometry-and-physics-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200611T103000
DTEND;TZID=America/New_York:20200611T120000
DTSTAMP:20260503T175814
CREATED:20240209T111953Z
LAST-MODIFIED:20240209T111953Z
UID:10001852-1591871400-1591876800@cmsa.fas.harvard.edu
SUMMARY:6/11/2020 Condensed Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/6-11-2020-condensed-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200615T203000
DTEND;TZID=America/New_York:20200615T220000
DTSTAMP:20260503T175814
CREATED:20240209T111804Z
LAST-MODIFIED:20240209T111804Z
UID:10001850-1592253000-1592258400@cmsa.fas.harvard.edu
SUMMARY:6/15/2020 Quantum Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/6-15-2020-quantum-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200616T213000
DTEND;TZID=America/New_York:20200616T223000
DTSTAMP:20260503T175814
CREATED:20240209T112933Z
LAST-MODIFIED:20240209T112933Z
UID:10001859-1592343000-1592346600@cmsa.fas.harvard.edu
SUMMARY:6/16/2020 Geometry and Physics Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/6-16-2020-geometry-and-physics-seminar/
CATEGORIES:Seminars
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=America/New_York:20200617T103000
DTEND;TZID=America/New_York:20200617T120000
DTSTAMP:20260503T175814
CREATED:20240209T112605Z
LAST-MODIFIED:20240209T112605Z
UID:10001856-1592389800-1592395200@cmsa.fas.harvard.edu
SUMMARY:6/17/2020 Quantum Matter Seminar
DESCRIPTION:
URL:https://cmsa.fas.harvard.edu/event/6-17-2020-quantum-matter-seminar/
CATEGORIES:Seminars
END:VEVENT
END:VCALENDAR