報告題目: Koszul duality and deformation theory
報 告 人: Andrey Lazarev
報告時間: 5月13日， 9:00-11:30;
5月15日， 9:00-11:30;
5月16日， 9:00-11:30;
報告地點: The second lecture room, first floor, Math Building, Jilin University
報告内容:
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.
報告人簡介：
Andrey Lazarev, 英國蘭卡斯特大學教授，從事代數拓撲、同調論與數學物理的研究，在Adv. Math. (5篇)、Proceeding London Math. Sco (3篇)、IMRN、Topologyy等雜志上發表論文40餘篇。
