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DTSTART;TZID=America/New_York:20251117T150000
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DTSTAMP:20260511T081328
CREATED:20251014T143757Z
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UID:10003815-1763391600-1763395200@cmsa.fas.harvard.edu
SUMMARY:BV and the ThimTFT
DESCRIPTION:Quantum Field Theory and Physical Mathematics Seminar \nSpeaker: Justin Kulp\, Stony Brook \nTitle: BV and the ThimTFT \nAbstract: The SymTFT (or “quiche”) construction relates different global forms of d-dimensional QFTs with discrete symmetry: realizing different global forms as a (d+1)-dimensional TFT on an interval\, with a common “physical” boundary condition on one side\, and different topological boundary conditions on the other. In my talk\, I will describe an analogue of the SymTFT which relates theories with the same “perturbative equations of motion”\, but different non-perturbative completions.\nI will start with a lightning overview of conformal blocks and relative QFT\, then explain the BV formalism in some detail—focusing on the elegant (super)geometric story in 0d for simplicity. I will argue that there is a natural 1d cohomological TFT (called the ThimTFT) associated to the classical action S\, with different topological boundary conditions described by convergent path-integral contours in a complexified field space. Time permitting\, I will discuss extensions to higher dimensions. Based on WIP.
URL:https://cmsa.fas.harvard.edu/event/qft_111725/
LOCATION:CMSA Room G02\, 20 Garden Street\, Cambridge\, MA\, 02138
CATEGORIES:Quantum Field Theory and Physical Mathematics
ATTACH;FMTTYPE=image/png:https://cmsa.fas.harvard.edu/media/CMSA-QFT-and-Physical-Mathematics-11.17.25.docx-scaled.png
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DTSTART;TZID=America/New_York:20251117T163000
DTEND;TZID=America/New_York:20251117T173000
DTSTAMP:20260511T081328
CREATED:20250925T180503Z
LAST-MODIFIED:20251106T161641Z
UID:10003799-1763397000-1763400600@cmsa.fas.harvard.edu
SUMMARY:Interaction of Statistics and Geometry: A New Landscape for Data Science
DESCRIPTION:Colloquium \nSpeaker: Zhigang Yao (National University of Singapore) \nTitle: Interaction of Statistics and Geometry: A New Landscape for Data Science \nAbstract:  Classical statistics views data as real numbers or vectors in Euclidean space\, but modern challenges increasingly involve data with intrinsic geometric structures. A central problem in this direction is manifold fitting\, with origins in H. Whitney’s work of the 1930s. The Geometric Whitney Problems ask: given a set\, when can we construct a smooth 𝑑-dimensional manifold that approximates it\, and how accurately can we estimate it? \nIn this talk\, I will discuss recent progress on manifold fitting and its role in bridging geometry and data science. While many existing methods rely on restrictive assumptions\, the manifold hypothesis—that data often lie near non-Euclidean structures—remains fundamental in modern statistical learning. I will highlight both theoretical insights and algorithmic challenges\, drawing on recent works with\, as well as ongoing research.
URL:https://cmsa.fas.harvard.edu/event/colloquium_111725/
LOCATION:CMSA Room G10\, CMSA\, 20 Garden Street\, Cambridge\, MA\, 02138\, United States
CATEGORIES:Colloquium
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