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Point Counting on Igusa Varieties for function fields by Hamacher, Paul; Kim, Wansu is a scholarly article available to read on EtoBox.

What is Point Counting on Igusa Varieties for function fields about?

Igusa varieties over the special fibre of Shimura varieties have demonstrated many applications to the Langlands program via Mantovan's formula and Shin's point counting method. In this paper we study Igusa varieties over the moduli stack of global $\Gscr$-shtukas and (under certain conditions) calculate the Hecke action on its cohomology. As part of their construction we prove novel results about local $G$-shtukas in both equal and unequal characteristic and also discuss application of these results to Barsotti-Tate groups and Shimura varieties.

Author

Hamacher, Paul; Kim, Wansu

Published

2022

Language

EN