Compatible systems along the boundary

Weizhe Zheng
Chinese Academy of Sciences and Princeton University
Tuesday, March 12, 2019 - 11:00am to 12:00pm
Vincent 213

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 equicharacteristic case of some conjectures on l-independence. I will also discuss the relationship with compatible wild ramification. This is joint work with Qing Lu.