Scaling laws and associated downstream trends can be used as an organizing principle when thinking about current and future ML progress. I will briefly review scaling laws for generative models...
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CMSA GENERAL RELATIVITY SEMINAR, SEMINARS
March 2, 2022 10:30 amWe construct infinitely many new exactly solvable local commuting projector lattice Hamiltonian models for general bosonic beyond group cohomology invertible topological phases of order two and four in any spacetime...
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MATHEMATICAL PICTURE LANGUAGE, SEMINARS
March 1, 2022 9:30 amWe will present some rigorous results about entropy and relative entropy in QFT, motivated in part by recent physicists' work which however depends on heuristic arguments such as introducing cut off and using...
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This is a report about work in progress with: Adeel Khan, Aloysha Latyntsev, Hyeonjun Park and Charanya Ravi. We will describe a virtual Atiyah-Bott formula for Artin stacks. In the Deligne-Mumford...
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CMSA GENERAL RELATIVITY SEMINAR, SEMINARS
March 1, 2022 9:00 amEugene Wachspress introduced polypols as real bounded semialgebraic sets in the plane that generalize polygons. He aimed to generalize barycentric coordinates from triangles to arbitrary polygons and further to polypols....
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SEMINARS
March 1, 2022 8:30 pmThe SYZ proposal suggests that mirror symmetry is T-duality. It is a folklore that locally free sheaves are mirror to a Lagrangian multi-section of the SYZ fibration. In this talk, I will introduce the notion...
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SEMINARS, HARVARD-MIT ALGEBRAIC GEOMETRY
March 1, 2022 3:00 pmI will explain a notion of rank for the relations amongst the equations of a projective variety, generalizing the classical notion of rank of a quadric. I will then explain...
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CMSA GENERAL RELATIVITY SEMINAR, SEMINARS
February 24, 2022 9:00 amIn this talk we describe a new method to study the singular set in the obstacle problem. This method does not depend on monotonicity formulae and works for fully nonlinear...
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CMSA GENERAL RELATIVITY SEMINAR, SEMINARS
February 24, 2022 8:00 pmThree-dimensional (3d) gapped topological phases with fractional excitations are divided into two subclasses: One has topological order with point-like and loop-like excitations fully mobile in the 3d space, and the...
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CMSA GENERAL RELATIVITY SEMINAR, SEMINARS
February 24, 2022 1:00 pmThe spontaneous emergence of collective flows is a generic property of active fluids and often leads to chaotic flow patterns characterized by swirls, jets, and topological disclinations in their orientation...
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