U. Haifa Algebra seminar: Tuesday, November 8, 2022. Speaker: Alexei Piskunov (Technion). Title: “Motivic zeta-function for surfaces and Severi-Brauer varieties”.

Date:            Tuesday, November 8, 2022 at 12:00 PM 

Place:           Room 614, Science & Education Building, U. Haifa

Speaker:    Alexei Piskunov   (Technion)

Title: “Motivic zeta-function for surfaces and Severi-Brauer varieties”

Abstract:

Motivic zeta-function Z_X(t) of an algebraic variety X is a certain universal generalization of the Hasse-Weil zeta function,

Euler characteristics and other invariants of algebraic varieties. 

I will briefly remind the definition and its basic properties, and then prove that 

the rationality of the motivic zeta-function is a birational invariant for surfaces in characteristic zero. 

I will also prove some theorems on motivic zeta-function of Severi-Brauer varieties 

and compute it in the case of a Cartesian power of a smooth conic. 

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