Stacks of Shtukas and spectral decompositions
In this talk we will explain the spectral decompositions of cohomology groups of stacks of shtukas. First the simplest one by excursion operators, then a refined one which is a joint work with Xinwen Zhu, and the link with recent works of Arinkin, Gaitsgory, Kazhdan, Raskin, Rozenblyum, Varshavsky.
