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DTSTART;TZID=America/New_York:20260303T161500
DTEND;TZID=America/New_York:20260303T180000
DTSTAMP:20260504T213102
CREATED:20251223T191945Z
LAST-MODIFIED:20260209T160052Z
UID:10003853-1772554500-1772560800@cmsa.fas.harvard.edu
SUMMARY:Solitonic Symmetry: Cohomology with TFT Coefficients
DESCRIPTION:Geometry and Quantum Theory Seminar \nSpeaker: Sanjay Raman\, Harvard \nTitle: Solitonic Symmetry: Cohomology with TFT Coefficients \nAbstract: We review the formalism of https://arxiv.org/pdf/2307.00939\, which develops the theory of solitonic symmetry in quantum field theory. The algebraic structure of solitonic symmetry is determined by the fusion of topological functionals in a given path-integral formulation of topological field theory\, and acts generically on topological defects determined by homotopy classes of maps to a “space of fields.” We will argue that the structure of solitonic symmetry in a theory with field space (Y) assembles into what looks like the cohomology of (Y) with coefficients in TFTs. We study this formalism in examples and show in particular that the maximal invertible solitonic subsymmetry reduces to the expected result.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_3326/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-Geometry-Quantum-Theory-3.3.26-scaled.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260310T161500
DTEND;TZID=America/New_York:20260310T180000
DTSTAMP:20260504T213102
CREATED:20260302T172556Z
LAST-MODIFIED:20260309T175638Z
UID:10003914-1773159300-1773165600@cmsa.fas.harvard.edu
SUMMARY:TQFTs do not detect the Milnor sphere
DESCRIPTION:Joint Math/CMSA Geometry and Quantum Theory Seminar \nSpeaker: Lorenzo Riva\, Harvard CMSA \nTitle: TQFTs do not detect the Milnor sphere \nAbstract: I will talk about the recent paper of Gripaios and Randall-Williams with that title\, where they prove that a functorial TQFT (i.e. a symmetric monoidal functor from the n-dimensional bordism category into a suitably nice target category) assigns the same value to homotopy spheres that bound a parallelizable manifold\, extending some no-go theorems of Reutter and Schommer-Pries.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_31026/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Geometry-and-Quantum-Theory-Seminar-03.10.26-scaled.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260324T161500
DTEND;TZID=America/New_York:20260324T180000
DTSTAMP:20260504T213102
CREATED:20260323T143256Z
LAST-MODIFIED:20260323T143854Z
UID:10003919-1774368900-1774375200@cmsa.fas.harvard.edu
SUMMARY:Line operators in holomorphic QFT
DESCRIPTION:Joint Math/CMSA Geometry and Quantum Theory Seminar \nSpeaker: Keyou Zeng (CMSA) \nTitle: Line operators in holomorphic QFT \nAbstract: We will discuss the recent work (arxiv:2508.11749)\, which defines the so called dg shifted Yangian. I will discuss their origin from the study of 3d holomorphic topological field theories\, a variant of 3d TQFT. A dg shifted Yangian is supposed to control the fusion of line defect in the corresponding 3d HT theories. I will illustrate these discussions in examples.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_32426/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Geometry-and-Quantum-Theory-Seminar-03.24.26-scaled.png
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BEGIN:VEVENT
DTSTART;TZID=America/New_York:20260331T161500
DTEND;TZID=America/New_York:20260331T180000
DTSTAMP:20260504T213102
CREATED:20260323T144017Z
LAST-MODIFIED:20260330T153340Z
UID:10003920-1774973700-1774980000@cmsa.fas.harvard.edu
SUMMARY:1-shifted Yangians from 1-shifted Lie bialgebras
DESCRIPTION:Joint Math/CMSA Geometry and Quantum Theory Seminar \nSpeaker: Vasily Krylov\, Harvard \nTitle: 1-shifted Yangians from 1-shifted Lie bialgebras \nAbstract: In the previous talk\, Keyou explained that the fusion of line defects in 3d holomorphic–topological field theories is expected to be governed by so-called DG-shifted Yangians. Following arXiv:2503.08770\, I will present examples of such DG-shifted Yangians arising from 1-shifted Lie bialgebras. We will discuss both the classical and DG-shifted settings from a purely mathematical perspective.
URL:https://cmsa.fas.harvard.edu/event/quantumgeo_33126/
LOCATION:Science Center 507\, 1 Oxford Street\, Cambridge\, 02138
CATEGORIES:Geometry and Quantum Theory Seminar
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/Geometry-and-Quantum-Theory-Seminar-03.31.26-scaled.png
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