On the geometry of Bun_G near infinity

Abstract: Let Bun_G be the moduli stack of G-bundles on a compact Riemann surface. After reviewing (and motivating) the notion of "temperedness" appearing in the geometric Langlands program, I will discuss the proof of a conjecture of Gaitsgory stating that the constant D-module on Bun_G is anti-tempered. No prior familiarity with geometric Langlands will be assumed; rather, I'll emphasize some key ingredients that might be of broader interest: a Serre duality in an unusual context and various cohomology vanishing computations.

differential geometry

Audience: researchers in the topic

B.O.W.L Geometry Seminar