When:
Tuesday, October 7, 2025
2:00 PM - 3:00 PM CT
Where: Locy Hall, 109, 1850 Campus Drive, Evanston, IL 60208 map it
Audience: Faculty/Staff - Student - Post Docs/Docs - Graduate Students
Contact:
Yuchen Liu
(847) 491-5553
yuchenl@northwestern.edu
Group: Department of Mathematics: Algebraic Geometry Seminar
Category: Lectures & Meetings
Title: Monodromy eigenvalues and b-functions for homogeneous nondegenerate polynomials in positive characteristic
Abstract: Let F be a homogeneous polynomial over a field of characteristic p>0 with an isolated singularity and let X be (the compactification of) its fiber away from the origin. We show that there is a connection between the ``roots of the b-function" of F and the monodromy eigenvalues on the slope zero part of the crystalline cohomology of X. This is joint work in progress with Hiroki Kato and Daichi Takeuchi.