Brandeis-Harvard-MIT-Northeastern Joint Mathematics Colloquium

Thursday, October 22, 2020 at 4:30pm to 5:30pm

Virtual Event

SPEAKER:  Akshay Venkatesh (Institute for Advanced Study)

TITLE: Galois symmetries of the stable homology of integer symplectic groups.

ABSTRACT: There are many natural sequences of moduli spaces in algebraic geometry whose homology approaches a "limit", despite the fact that the spaces themselves have growing dimension.  If these moduli spaces are defined over a field K,  this limiting homology carries an extra structure -- an action of the Galois group of K --  which is arithmetically interesting.

In joint work with Feng and Galatius, we compute this action (or rather a slight variant) in the case of the moduli space of abelian varieties. I will explain the answer and why I find it interesting. No familiarity with abelian varieties will be assumed -- I will emphasize topology over algebraic geometry.

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Event Type

Conferences/Seminars/Lectures

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Academic

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Public

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School of Science

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MIT Mathematics, Scott Sheffield, Seminars at MIT

Website

http://www.northeastern.edu/tzhou/bhm...

Department
Department of Mathematics
Hashtag

#MIT Math

Contact Email

rzammuto@mit.edu

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