中科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
综合报告会
（Colloquium）
Speaker: Vladimir Dotsenko (Université de Strasbourg & AMSS)
Language: English
Title:Yamaguti algebras, noncrossing partitions and sl_2
Time&Venue：2026年9月17日（星期四）15:30-17:00 南楼202
Abstract: Last year, A. Das introduced an algebraic structure that he called associative-Yamaguti algebras, which are supposed to serve as envelopes of the rather mysterious Lie-Yamaguti algebras, a structure arising in studying relations between the torsion and the curvature tensors of a connection in the tangent bundle of a manifold under the condition that both of these tensors are constant.
In a joint work with Chapoton, I found two rather remarkable relationships of these associative-Yamaguti algebras to completely different mathematical topics, the combinatorics of noncrossing partitions and the representation theory of the Lie algebra sl_2. In my talk, I shall explain these results. Time permitting, I shall discuss an analogue of the second result for the quantum group U_q(sl_2).
Speaker profile: Vladimir Dotsenko is a professor of mathematics at the Université de Strasbourg and a member of the Institut Universitaire de France. His research lies broadly in algebra, category theory, homotopy theory, operads, and algebraic combinatorics, with particularly notable work connecting Gröbner-basis techniques with operad theory.
附件：