Number Theory

Title: Arithmetic restrictions on geometric monodromy
Speaker: Daniel Litt
Speaker Info: Columbia University
Brief Description:
Special Note:

Let X be an algebraic variety over a field k. Which representations of pi_1(X) arise from geometry, e.g. as monodromy representations on the cohomology of a family of varieties over X? We study this question by analyzing the action of the Galois group of k on the fundamental group of X.

As a sample application of our techniques, we show that if X is a smooth variety over a field of characteristic zero, and p is a prime, then there exists an integer N=N(X,p) satisfying the following: any irreducible p-adic representation of the fundamental group of X which arises from geometry is non-trivial mod p^N.

Date: Monday, November 28, 2016
Time: 4:00PM
Where: Lunt 107
Contact Person: Yifeng Liu
Contact email: liuyf@math.northwestern.edu
Contact Phone:
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