Claremont Topology Seminar: Robert Cass (Claremont McKenna College)

We welcome all undergraduate/graduate students and faculty to attend topology seminar!

Speaker: Robert Cass (Claremont McKenna College)

Title: Schubert varieties are splinters

Abstract: Schubert varieties are among the most well-studied singular algebraic varieties, and they have numerous applications in combinatorics and representation theory. In positive characteristic, Schubert varieties are known to be Frobenius split by the work of Mehta and Ramanathan. More recently, Bhatt showed that the full flag variety for GL_n is a derived splinter by entirely different methods. In this talk, we explain these concepts, and we show how to generalize Bhatt’s result to all Schubert varieties. Our methods apply equally well to affine Schubert varieties, which are of interest in number theory. This is joint work with João Lourenço.