報告題目：Noncommutative moduli spaces
報 告 人：Andrey Lazarev
所在單位：Lancaster University
報告時間：2023年8月21-25日
報告地點：正新樓313室
報告摘要: 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.
報告人簡介：Andrey Lazarev，英國蘭卡斯特大學教授，從事代數拓撲與同倫論的研究， Bull. Lond. Math. Soc.雜志主編，在Adv. Math.、 Proc. Lond. Math. Soc.、 J. Noncommut. Geom.等雜志上發表多篇高水平論文。
