Speaker: Agneet Dhillon (University of Western Ontario, Canada)
Title: The motive of Bun_G
Abstract: The moduli stack of $G$-bundles on a curve occurs in diverse areas of mathematics. We will discuss various approaches to its motive. The talk will discuss the Aityah-Bott formula and Tamagawa numbers. In joint work with Kai Behrend we conjectured a formula for the motive in the K-ring of varieties and proved it in certain cases. Recently Benjamin Fayyazuddin-Ljungberg proved the conjecture for the symplectic group. A more refined approach has appeared in the work of Simon Pepin-Lehalleur and Victoria Hoskins which will be discussed.
Zoom link:
https://osu.zoom.us/j/93363983531?pwd=eE8yVklsRnI2U2lIajljY0VhMFoxUT09
Meeting id: 933 6398 3531 Passcode: 422895