Go Canada!

I’m honored to be visiting America’s virtuous neighbor to the north to speak in the PIMSUBC Math Distinguished Colloquium on Friday, September 14, 2018.

Title: Birational geometry and algebraic cycles

Abstract: A fundamental problem of algebraic geometry is to determine which algebraic varieties are rational, that is, isomorphic to projective space after removing lower-dimensional subvarieties from both sides. We discuss the history of the problem. Some dramatic progress in the past 5 years uses a new tool in this context: the Chow group of algebraic cycles.

On the day before, Thursday, September 13, I’ll speak in the UBC Algebraic Geometry seminar.

Title: Hodge theory of classifying stacks

Abstract: The goal of this talk is to create a correspondence between the representation theory of algebraic groups and the topology of Lie groups. The idea is to study the Hodge theory of the classifying stack of a reductive group over a field of characteristic p, the case of characteristic 0 having been studied by Behrend, Bott, Simpson and Teleman. The approach yields new calculations in representation theory, motivated by topology.

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