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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NUMBER THEORY
March 24, 2021 3:00 pmI'll discuss 4 different types of integration -- one in the complex setting, one in the tropical setting, and two in the p-adic setting, and the relationships between them. In particular, we...
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NUMBER THEORY
March 17, 2021 3:00 pmFollowing work of Gross-Wallach, Gan-Gross-Savin defined what are called "modular forms" on the split exceptional group G_2. These are a special class of automorphic forms on G_2. I'll review their...
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NUMBER THEORY
March 10, 2021 3:00 pmI'll explain a very simple proof of the fact that K3 surfaces of finite height admit (many) CM lifts, a result due independently to Ito-Ito-Koshikawa and Z. Yang, which was...
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NUMBER THEORY
March 3, 2021 3:00 pmIn the talk, I will present an equidistribution result for families of (non-degenerate) subvarieties in a (general) family of abelian varieties. This extends a result of DeMarco and Mavraki for...
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NUMBER THEORY
February 24, 2021 3:00 pmEmerton's completed cohomology gives, at present, the most general notion of a space of p-adic automorphic forms. Important properties of completed cohomology, such as its 'size', is predicted by a...
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NUMBER THEORY
February 17, 2021 3:00 pmThere is a long standing connection between the Tate conjecture in codimension 1 and finiteness properties, which first appeared in Tate's seminal work on the endomorphisms of abelian varieties. I will...
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NUMBER THEORY
February 10, 2021 3:00 pmZoom: https://harvard.zoom.us/j/99334398740 Password: The order of the permutation group on 9 elements.
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NUMBER THEORY
February 3, 2021 3:00 pmWe will outline a definition of analytic spaces that relates to complex- or rigid-analytic varieties in the same way that schemes relate to algebraic varieties over a field. Joint with...
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NUMBER THEORY
January 27, 2021 3:00 pmWe begin with an introduction to arithmetic dynamics and heights attached to rational maps. We then introduce a dynamical version of Lang's conjecture concerning the minimal canonical height of non-torsion...
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