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

Venue: Room 106, Building 2, Hainayuan 

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.