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DTSTART;TZID=America/New_York:20240927T090000
DTEND;TZID=America/New_York:20240927T100000
DTSTAMP:20260420T015720
CREATED:20240907T180338Z
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SUMMARY:Going to the other side .... in algebra\, topology\, and maybe physics
DESCRIPTION:Quantum Field Theory and Physical Mathematics \nSpeaker: Sergei Gukov (Caltech)\n\nTitle: Going to the other side …. in algebra\, topology\, and maybe physics\n\nAbstract: Inspired by Eugene Wigner’s reflections on the ‘unreasonable effectiveness of mathematics in the natural sciences\,’ this talk is about the surprising and pervasive role of a peculiar phenomenon that\, a priori\, seemed to have no reason to exist. Yet\, it emerges across many different areas of mathematics and theoretical physics\, including: \n\nthe Kazhdan-Lusztig correspondence\nquantum invariants of 3-manifolds\nthe study of 2d (0\,2) boundary conditions in 3d N=2 theories\nresurgent analysis\n\nAlthough each of these fields approaches the phenomenon from a different perspective\, the results align in striking and unexpected ways. \n\n 
URL:https://cmsa.fas.harvard.edu/event/qm_92724/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-09.27.2024.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20240920T140000
DTEND;TZID=America/New_York:20240920T153000
DTSTAMP:20260420T015720
CREATED:20240907T191849Z
LAST-MODIFIED:20240918T134041Z
UID:10003467-1726840800-1726846200@cmsa.fas.harvard.edu
SUMMARY:Classification and Construction of crystalline topological superconductors and insulators in interacting fermion systems
DESCRIPTION:Quantum Matter Seminar \nSpeaker: Zhengcheng Gu\, Chinese University of Hong Kong \nTitle: Classification and construction of crystalline topological superconductors and insulators in interacting fermion systems \nAbstract: The construction and classification of crystalline symmetry protected topological (SPT) phases in interacting bosonic and fermionic systems have been intensively studied in the past few years. Crystalline SPT phases are not only of conceptual importance\, but also provide us great opportunities towards experimental realization since space group symmetries naturally exist for any realistic material. In this talk\, I will discuss how to construct and classify crystalline topological superconductors (TSC) and topological insulators (TI) in interacting fermion systems. I will also discuss the relationship between internal symmetry protected SPT phases and crystalline symmetry protected SPT Phases.
URL:https://cmsa.fas.harvard.edu/event/qm_92024/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Field Theory and Physical Mathematics,Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-09.20.2024.png
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DTSTART;TZID=America/New_York:20240828T140000
DTEND;TZID=America/New_York:20240828T153000
DTSTAMP:20260420T015720
CREATED:20240822T161627Z
LAST-MODIFIED:20240826T155342Z
UID:10003416-1724853600-1724859000@cmsa.fas.harvard.edu
SUMMARY:Instanton in Lattice QCD from Higher Categories and Higher Anafunctors
DESCRIPTION:Speaker: Jing-Yuan Chen\, Tsinghua University \nTitle: Instanton in Lattice QCD from Higher Categories and Higher Anafunctors\n\n\nAbstract:  Putting continuum QFT (not just TQFT) on the lattice is important for both fundamental understandings and practical numerics. The traditional way of doing so\, based on simple intuitions\, however\, does not admit natural definitions for general topological operators of continuous-valued fields—one such example is the long standing problem in lattice QCD of lacking a natural definition for Yang-Mills instantons.\nIn this talk\, I will explain a more systematic way to relate continuum and lattice QFT\, based on higher categories and higher anafunctors\, so that the topological operators in the continuum can be naturally defined on the lattice. The idea\, though formulated formally\, is physically very intuitive—we want to effectively capture the different possibilities of how a lattice field may interpolate into the continuum\, so the higher categories that are employed to study higher homotopy theory should be naturally involved. Via this formalism\, we resolve the long-standing problem of defining instanton (as well as Chern-Simons term) in lattice Yang-Mills theory\, in terms of multiplicative bundle gerbes. Moreover\, when the fields become discrete\, our formalism can recover the Dijkgraaf-Witten and Turaev-Viro theory\, so we hope this formalism to be a good starting point towards (in the very long term) a comprehensive categorical understanding of QFT that encompass both continuous and discrete degrees of freedom\, applicable both to IR and to UV.
URL:https://cmsa.fas.harvard.edu/event/qm_82824/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Quantum Matter
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QMMP-08.28.2024.png
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