Symmetric subgroups schemes, Frobenius splittings, and quantum symmetric pairs
报告题目：Symmetric subgroups schemes, Frobenius splittings, and quantum symmetric pairs
报告专家：鲍涣辰（新加坡国立大学）
报告时间：2023年6月2日（周五）14:30-15:30
报告地点：国家天元数学西南中心516报告厅
报告摘要：
Let G be a connected reductive group over an algebraically closed field. Such groups are classified via root data and can be parameterised via Chevalley group schemes over integers. In this talk, we shall first recall the construction of Chevalley group schemes by Lusztig using quantum groups. Then we shall discuss the construction of (quasi-split) symmetric subgroup schemes parameterising symmetric subgroups K of G using quantum symmetric pairs. The existence of such group schemes allows us to apply characteristic p methods to study the geometry of K-orbits on the flag variety of G, which we shall discuss as well. This is based on joint work with Jinfeng Song (NUS).
专家简介：
鲍涣辰，新加坡国立大学助理教授，2020年美国数学会Chevalley奖得主。主要从事表示论及其与几何、组合等的交叉研究，相关研究成果发表于Invent. Math.、Amer. J. Math.、Compositio Math.、Adv. Math.、Asterisque等国际著名杂志上。
邀请人：卢明
