Affine Schubert Varieties Are Splinters - Robert Cass
Автор: Institute for Advanced Study
Загружено: 2025-12-16
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Joint IAS/PU Arithmetic Geometry
3:30pm|Simonyi 101 and Remote Access
Topic: Affine Schubert Varieties Are Splinters
Speaker: Robert Cass
Affiliation: Claremont McKenna College
Date: December 15, 2025
Schubert varieties are known to be Frobenius split in positive characteristic by the work of Mehta and Ramanathan. More recently, Bhatt showed that the full flag variety for GLn
is a splinter by entirely different methods. In this talk, we will explain these concepts and show how to generalize Bhatt's result to all Schubert varieties for all reductive groups. Our methods apply equally well to affine Schubert varieties, which are related to the Langlands program and to the representation theory of algebraic groups. This is joint work with João Lourenço.
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