On the categorification of
the cluster variety of triples of flags
报告专家：刘绵涛 博士（巴黎西岱大学）
报告时间：1月13日(周二) 15：00-16：00
报告地点：四川大学数学学院西202
报告摘要：
The cluster variety of triples of flags (associated with a split simple Lie group of Dynkin type Delta) plays a key role in higher Teichmuller theory as developed by Fock-Goncharov, Jiarui Fei, Ian Le,... and Goncharov--Shen. We refer to it as the basic triangle associated with Delta. For simply laced Delta, we construct and study a Higgs category, in the sense of Yilin Wu, which we expect to categorify the basic triangle. This category is a certain exact differential graded (=dg) category, in the sense of Xiaofa Chen, which is Frobenius and stably 2-Calabi-Yau. We show that it has indeed the expected cyclic group symmetry and that its derived category has the expected braid group symmetry. A key ingredient in our construction is a conjecture by Merlin Christ.
专家简介：
刘绵涛，博士毕业于巴黎西岱大学，师从著名代数学家Bernhard Keller 教授，主要从事丛代数的范畴化、微分分次范畴理论的研究工作。
邀请人：付昌建
