时间：2026年2月4日(星期三)，10:00-11:00
地点：E14-212
主持人：理论科学研究院 傅鑫
主讲人：南京大学 黄鹏飞
报告主题：Symmetric spaces for groups over involutive algebras and applications
报告摘要：Symplectic groups and (indefinite) orthogonal groups over noncommutative involutive algebras provide new way of realizing classical Lie groups. When in particular, the involutive algebra is Hermitian or the complexification of a Hermitian algebra, one can identify the corresponding maximal compact subgroups. This new perspective allows for the realization of various geometric models for the symmetric space of these groups. In this talk, we will try to illustrate such ideas and describe the tangent spaces for each of the models, as well as the application to Higgs bundles. If time permits, we will also talk about the description of Hitchin morphisms in terms of models. This is a joint work with Kydonakis, Rogozinnikov and Wienhard.
