# Simon Cooper: Tautological rings of Shimura varieties

**Time: **
Wed 2021-02-24 13.15 - 14.15

**Lecturer: **
Simon Cooper, Stockholms universitet

**Location: **
Zoom, meeting ID: 685 0671 8075

### Abstract

I will discuss tautological rings of Shimura varieties of Hodge-type following Wedhorn-Ziegler. For toroidal compactifications these rings are described purely in terms of group theoretic data by W-Z. I shall instead focus on the non-compact case, which requires certain geometric input from the boundary. I will do this for Hilbert modular varieties in positive characteristic, generalising the methods used by Van de Geer in the case of the moduli of abelian varieties \(A_{g}\).

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