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必发bf88唯一官方、所2019年系列学术活动(第50场):Andrey Lazarev

发表于: 2019-05-13   点击: 

报告题目: Koszul duality and deformation theory

报 告 人: Andrey Lazarev

报告时间: 513日, 9:00-11:30;

515日, 9:00-11:30;

516日, 9:00-11:30;

报告地点: The second lecture room, first floor, Math Building, Jilin University

报告内容:

Categories of differential graded associative and commutative algebras and coalgebras. Conilpotent coalgebras, Lie algebras. Bar-cobar adjunction.

Closed model categories and their homotopy categories. Quillen adjunctions and Quillen equivalences. Infinity algebras as fibrant objects. Koszul duality as a Quillen equivalence in the associative and commutative-Lie case.

Deformation theory and deformation functors. Maurer-Cartan equation. Representability of the deformation functor in the homotopy category. Deformation theory based on associative differential graded algebras. Open questions.

报告人简介:

Andrey Lazarev, 英国兰卡斯特大学教授,从事代数拓扑、同调论与数学物理的研究,在Adv. Math. (5)Proceeding London Math. Sco (3)IMRNTopologyy等杂志上发表论文40余篇。