报告题目: Koszul duality and deformation theory

报 告 人: Andrey Lazarev

报告时间: 5月13日， 9:00-11:30;

5月15日， 9:00-11:30;

5月16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篇)、Proceeding London Math. Sco (3篇)、IMRN、Topologyy等杂志上发表论文40余篇。