Real locus of $\bar{\mathfrak h}$


报告题目Real locus of $\bar{\mathfrak h}$

报告人李昱(多伦多大学)

报告时间2023年3月16日10:30

报告地点:Zoom:  652 3784 0465


报告摘要:The wonderful compactification $\bar{\mathfrak h}$ of a Cartan subalgebra of a semisimple Lie algebra has recently been studied from many different perspectives. For example, it has appeared in connection with the study of the variety of Lagrangian subalgebras, Schubert varieties, additive (tropical) toric geometry, (trigonometric) Gaudin algebras, etc. We explain some topological properties of the real locus of $\bar{\mathfrak h}$. In particular, we will show that $\bar{\mathfrak h} (\mathbb R)$ is homeomorphic to the permutohedron modulo identifying parallel faces. This is joint work with J. Kamnitzer and L. Rybnikov.

 

报告人简介:多伦多大学博士后。主要从事Poisson几何与表示论相关研究。


邀请人:李彦鹏


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