ALGEBRAIC DYNAMICS
April 9, 2021 10:00 amCanonical heights are a standard tool of arithmetic dynamics over global fields. When studying families of dynamical systems, or systems over larger fields, however, there are significant geometric obstacles to...
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OPEN NEIGHBORHOOD
April 7, 2021 4:30 pmI will talk, pretty casually, about random walks, which I first learned about as part of my Harvard undergrad thesis in finite group theory, and which turn out to be...
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NUMBER THEORY
April 7, 2021 3:00 pmThe geometric Satake equivalence due to Lusztig, Drinfeld, Ginzburg, Mirković and Vilonen is an indispensable tool in the Langlands program. Versions of this equivalence are known for different cohomology theories such as...
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RANDOM MATRIX
April 7, 2021 2:00 pmIn many problems in statistical learning, random matrix theory, and statistical physics, one needs to simulate dynamics on random matrix ensembles. A classical example is to use iterative methods to...
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DIFFERENTIAL GEOMETRY
April 6, 2021 8:00 amThis talk will be about refined curve counting on local P^2, the noncompact Calabi-Yau 3-fold total space of the canonical line bundle of the projective plane. I will explain how...
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MATHEMATICAL PICTURE LANGUAGE
April 6, 2021 10:00 amThe space spanned by homotopy classes of free oriented loops on a 2-manifold carries an interesting algebraic structure (a Lie bialgebra structure) due to Goldman and Turaev. This structure is...
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MATHEMATICAL PICTURE LANGUAGE
April 6, 2021 10:00 amThe space spanned by homotopy classes of free oriented loops on a 2-manifold carries an interesting algebraic structure (a Lie bialgebra structure) due to Goldman and Turaev. This structure is...
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RANDOM MATRIX
March 31, 2021 2:00 pmThe O'Connell-Yor polymer is a fundamental model of a polymer in a random environment. It corresponds to the positive temperature version of Brownian Last Passage percolation. Although much is known about...
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DIFFERENTIAL GEOMETRY
March 30, 2021 8:00 amIn the first part of the talk, I will establish the rationality of generating series formed from Euler characteristics of tautological bundles over Hilbert schemes of points on surfaces. In...
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HARVARD-MIT ALGEBRAIC GEOMETRY
March 30, 2021 3:00 pmThis describes joint work in progress with M. Mustata, in which we study the filtration on local cohomology sheaves induced by their natural mixed Hodge module structure. Special properties of...
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