Grothendieck-Lefschetz Formula and Gaitsgory-Lurie Product Formula for BunG

Watch a detailed mathematics seminar talk where Kirill Magidson explores the Tamagawa number conjecture and its decomposition into two fundamental theorems. Delve into the first segment focusing on Kai Behrend's proof of the Grothendieck-Lefschetz trace formula for Bun_G. Progress through the second portion examining l-adic étale sheaves on prestacks and understand the Gaitsgory-Lurie product formula, which calculates étale cohomology of Bun_G through chiral homology of an l-adic sheaf on the Ran space. Recorded on February 7, 2024, this advanced mathematical discussion spans nearly two hours of in-depth theoretical exploration.