l-independence over Henselian valuation fields
Time: Mon, 2 Dec 2019, 15:30-17:00
Place: Lecture hall at the 3rd floor, Jinchunyuan West Building
Speaker: Weizhe Zheng (AMSS)
Abstract:
A theorem of Deligne says that compatible systems of l-adic sheaves on a smooth curve over a finite field are compatible along the boundary. I will present an extension of Deligne’s theorem to schemes of finite type over the ring of integers of a local field. This has applications to the l-independence of the l-adic cohomology of varieties over Henselian valuation fields, possibly of higher rank. This is joint work with Qing Lu.