Room 202, Astronomy-Mathematics Building, NTU

(台灣大學天文數學館 202室)

Homotopy Lie Theory for Zeta Functions of Smooth Projective Complete Intersections, Part II

Junyeong Park (
Pohang University of Science and Technology
)

Abstract

This talk is the continuation of “Homotopy Lie theory for zeta functions of projective complete intersections, part I”, given by Jeehoon Park. By taking the characteristic polynomial of the Dwork operator defined on the p -adic Dwork complex, one obtains the zeta function associated to the smooth projective com-plete intersection over a finite field. On the other hand, there is a deformation theory of DGBV algebras via the Maurer-Cartan solutions. In this lecture, I will explain how to deform the Dwork operator and give an explicit formula using Bell polynomials and L1 -morphisms. This is an ongoing joint work with Dohyeong Kim and Jeehoon Park.

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