Events

11.27

16:00-18:00

Event Details:

Title:Seminar by Penghui Li: Eisenstein series via factorization homology of Hecke categories

Time: November 27, Monday, 16:00-18:00

Venue: No. 2 Hainayuan Building, Room 106

Speaker: Penghui Li (YMSC)

Abstract: We define the E_2 Hecke category as coherent sheaves on the moduli stack of G-local system on a disk together with P-reduction on the boundary circle, and identify its factorization homology as the (enhenced) spectral Eisenstein series. This is motivated by the gluing partterns in geometric Langlands program where by a theorem of Arinkin-Gaitsgory (in the de-Rham setup), the spectral category is the gluing of (enhenced) spectral Eisenstein series for all parabolic P. It is a joint work with Quoc. P. Ho.


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