Stacks of Shtukas and spectral decompositions

grenoble
[MATH]Mathematics [math]
uga
cnrs
institut fourier
ams-ems-smf2022
shtukas
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.