辛几何、数学物理与低维拓扑讨论班:李鹏辉 Eisenstein series via factorization homology of Hecke categories


 


时间11月27日,星期一,16:00-18:00


地点:  海纳苑2幢106

报告内容: 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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