Galois symmetries of the stable homology of integer symplectic groups.

Akshay Venkatesh

Institute for Advanced Study


Thursday, October 22, 2020

Talk at 4:30 p.m. online (only by invitation)


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.

Home Web page: Alexandru I. Suciu Posted: October 18, 2020
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