报告题目：Noncommutative moduli spaces
报 告 人：Andrey Lazarev
所在单位：Lancaster University
报告时间：2023年8月21-25日
报告地点：正新楼313室
报告摘要: The aim of this minicourse is to outline the construction of global moduli spaces of different objects of algebraic and geometric nature (such as flat connections in vector bundles, modules over associative algebras, objects in dg categories etc.) in a homotopy invariant context. The first part of the course will explain how local Koszul duality of Hinich and Keller-Lefevre provides a suitable context for studying local moduli problems (also known as deformations). The second part is devoted to the more recent work constructing the corresponding global theory. The global theory shares some properties with the local one, but involves several significantly new features, most notably the use of dg categories. The emphasis will be placed on explaining the conceptual picture rather than on technical proofs. Various instructive examples will be given.
报告人简介：Andrey Lazarev，英国兰卡斯特大学教授，从事代数拓扑与同伦论的研究， Bull. Lond. Math. Soc.杂志主编，在Adv. Math.、 Proc. Lond. Math. Soc.、 J. Noncommut. Geom.等杂志上发表多篇高水平论文。
