Distinguished Colloquium——Etale cohomology and the characteristic cycle
2019-09-06 15:00-16:00 Room 77201, Jingchunyuan 78, BICMR
Abstract: Etale cohomology was introduced by Grothendieck in 1960's as a good cohomology theory that eventually enables to prove the Weil conjectures on the zeta functions of varieties over finite fields.
Taking the theory of D-modules as a model, the singular support and the characteristic cycle of an l-adic sheaf on a variety are defined recently on the cotangent bundle of the variety.
I will briefly explain the theory of characteristic cycle.