中国科学院数学与系统科学研究院
数学研究所
数学科学全国重点实验室
拓扑研讨班
Speaker: José São João (Université de Strasbourg)
Inviter: Vladimir Dotsenko
Language: English
Title: Lie algebras hiding in multi-linear operations
Time & Venue: 2026年10月9日（星期五） 16:00-17:00 南楼N913
Abstract: The derivative of a linear species can be viewed as a categorification of the derivative of formal power series. The derivative of an operad carries the structure of a twisted associative algebra and a right module of the operad. In this talk we will show that the derivative of topological operads with units give rise to connected cocommutative twisted Hopf algebras. By a twisted version of the Milnor–Moore theorem, such twisted Hopf algebras are the universal enveloping algebras of twisted Lie algebras. Using this we present the derivative of the d-Gerstenhaber operad as the universal envelope of a central extension of a twisted Lie algebra.