Boundedness for Betti numbers of étale sheaves in positive characteristic.

Abstract: Cohomology is the most fundamental global invariant attached to a sheaf. For a \bar{Q}_l local system L on the complement of a divisor D in a smooth projective variety over an algebraically closed field of characteristic p ≠ l, we will advertise the existence of estimates for the rank of each cohomology spaces of L depending only on local data : the rank of L and the ramification conductors of L at the generic points of D. This is joint work with Haoyu Hu.

number theory

Audience: researchers in the topic

London number theory seminar

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