BIMSA > BIMSA AG Seminar On the rationality of dlog A^1-zeta functions
On the rationality of dlog A^1-zeta functions
Organizers
Mao Sheng , Artan Sheshmani , Nan Jun Yang , Bei Hui Yuan
Speaker
Xiaowen Hu
Time
Thursday, November 2, 2023 3:30 PM - 5:00 PM
Venue
YMSC-Jingzhai-304
Online
Zoom 638 227 8222 (BIMSA)
Abstract
For smooth proper schemes over a finite field k, Bilu, Ho, Srinivasan, Vogt, and Wickelgren introduced the dlog A^1-zeta function with coefficients in the Grothendieck-Witt ring of k, enriching the dlog of the classical Weil zeta function. They introduced the notion of dlog rationality, and showed this property for simple cellular schemes. In this talk, we will review their theory and show that the dlog A^1-zeta function is always rational, but not necessarily dlog rational.