报告题目：Complex cobordisms, the universal formal group, and theta divisors

报 告 人：Victor Matveevich Buchstaber

所在单位：Steklov Mathematical Institute, Russian Academy of Sciences

报告时间：2022年11月11日  15:30-17:30

报告地点：ZOOM ID：862 062 0549，Code：2022

会议链接：https://us02web.zoom.us/j/8620620549?pwd=bGhsaG15WjRza2V3ZEN4TzJYZ1FZQT09

报告摘要：The talk is devoted to fundamental connections between algebraic topology, the formal groups theory and algebraic geometry.

The focus will be on the result of V.M. Buchstaber and A.P. Veselov, 2020. According to this result the exponent of the universal one-dimensional formal group is given by a series f(t) with the coefficient at t^{n+1}/ (n+1)! which is equal to the complex cobordism class of the theta divisor of a general (n+1)-dimensional abelian variety. We will discuss the applications of this result to well-known problems of algebraic topology and algebraic geometry, including the still open Milnor-Hirzebruch problem on the Chern numbers of irreducible smooth algebraic varieties.

The talk is designed for a wide audience, all the necessary concepts will be introduced.

报告人简介：Prof. Victor Matveevich Buchstaber is an expert in algebraic topology, geometric combinatorics, mathematical physics, founder of a large scientific school in topology and its applications, corresponding member of the Russian Academy of Sciences, chief scientific researcher of the Moscow Mathematical V.A.Steklov Institute, professor of the Moscow State M.V. Lomonosov University, Vice President of the Moscow Mathematical Society.