Academy of Mathematics and Systems Science, CAS
Colloquia & Seminars

Speaker:	Xue Cong，University of Cambridge
Inviter:
Title:	Cohomology of stacks of shtukas (千爪兽的上同调)
Time & Venue:	2019.7.4 9:30-10:30 7.5 09:30-10:30、14:00-15:00 N202
Abstract:	The l-adic cohomology with compact support of stacks of shtukas is a generalization of the vector space of automorphic forms with compact support over a function field. In the series of talks, I will recall the definition of the stacks of shtukas and their cohomology groups, and survey the roles they played in the Langlands correspondence for the function field. I will also construct the constant term morphisms on the cohomology groups. Using these, I will show some finiteness properties of the cohomology of stacks of shtukas and give an application on the Langlands parametrization of some quotient vector spaces of automorphic forms with compact support.