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Root category and total positivity

组织者

邓太旺 , 谢尔盖·奥布莱津 , 佘东明

演讲者

Buyan Li

时间

2026年11月05日 13:30 至 14:30

地点

A3-4-301

线上

Zoom 435 529 7909 (BIMSA)

摘要

We use root categories to realize Chevalley groups and their maximal compact subgroups. Moreover, we obtain the Cartan and Iwasawa decomposition theorems. On the other hand, Lusztig's theory of total positivity for reductive groups can be naturally applied to Chevalley groups. In this talk, I will explicitly determine regions of Extra close brace or missing open brace, for describing the size of monoids of totally positive elements, with respect to the root subgroups corresponding to the indecomposable objects in the root category. Then I will talk about the Iwasawa decomposition for totally positive monoids. This is based on joint works with Professor Jie Xiao.