Local symmetries of geometric Eisenstein series
When
3:30 – 4:30 p.m., Jan. 21, 2025
Where
Math Room 401
Title: Local symmetries of geometric Eisenstein series
Abstract: I'll begin with the story of an sl_2-triple, discovered by Finkelberg and Kuznetsov in the late 90s, which emerges unexpectedly from the geometry of the space of endomorphisms of the Riemann sphere. Then I'll discuss some recent joint work with Andreas Hayash in which we reinterpret and generalize this construction in the context of geometric Eisenstein series, giving a local-to-global construction of certain symmetries predicted by the geometric Langlands conjecture (now a theorem).
Colloquium Tea will be served in the Math Commons Room prior to the talk.