Geordie Williamson (University of Freiburg)

Friday 8th August, 12.05-12.55pm, Carslaw 159 ***NEW ROOM***

The p-smoothness locus of Schubert varieties

An n-dimensional complex variety is p-smooth if local cohomology with characteristic p coefficients cannot distinguish it from Cⁿ. I will begin by discussing this notion on some examples and then describe joint work with Peter Fiebig determining the p-smooth locus of Schubert varieties for many primes p. If time permits, I will also try to sketch why such questions are important in modular representation theory (this is work due to Soergel, Mirkovic-Vilonen, Fiebig and Juteau).