Algebraic Geometry Seminar
Martin Olsson
UC Berkeley
Independence of $\ell$ and local terms
Abstract: I will give an overview of recent progress on several related questions on independence of $\ell $ for correspondences acting on $\ell $-adic sheaves.
The main focus will be on local terms whose rationality and independence of $\ell $ implies global independence of $\ell $ results using trace formulas.
In the case of constant coefficients the calculation of local terms is reduced to intersection theory calculations via the theory of Borel-Moore homology
and localized chern classes.
I will also discuss various results on independence of $\ell $ for correspondences acting on complexes of sheaves.
Wednesday April 10, 2013 at 4:00 PM in SEO 427