学术报告
题 目:The homotopy theory of operated algebras
报 告 人:周国栋 教授 (邀请人:张泽锐)
华东师范大学
时 间:6月6日 10:00-11:00
腾 讯 会 议:265-612-105 会议密码:1234
报告人简介:
周国栋,华东师范大学数学科学学院教授、博导、副院长,博士毕业于法国亚棉大学,师从著名代数学家Alexander Zimmermann教授。主要研究领域为代数表示论与同调代数。先后主持国家自然科学基金青年基金、上海市浦江人才计划项目、教育部博士点新教师基金、国家自然科学基金面上项目两项,其学术成果发表在Adv.Math.、J. London Math. Soc.、Math. Z.、Trans. Amer. Math. Soc.、IMRN、J. Algebra、J. Noncommut. Geom. Proc. Royal Edinburgh Soc. Section A: Math.等国际著名期刊上。
摘 要:
The talk is a survey of our recent results on the homotopy theory of operated algebras such as Rota-Baxter associative (or Lie) algebras and differential associative (or Lie) algebras etc. We make explicit the Kozul dual homotopy cooperads and the minimal models of the operads governing these operated algebras. As a consequence the L∞ structures on the deformation complexes are described as well. As examples, we explain in details our recent work on differential algebras with weight as well as Rota-Baxter operators on 3-Lie algebras.
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