报告题目:A type C study of Braverman–Gaitsgory–Ginzburg’s construction of sl_n representations
报 告 人:马海涛副教授(哈尔滨工程大学)
报告时间:2025年3月25日 15:00--16:00
报告地点:龙洞校区行政楼607
摘要:In [Z. Fan, H. Ma and H. Xiao, Equivariant K-theory approach to i-quantum groups,
Publ. Res. Inst. Math. Sci. 58 (2022), no.3, 635–668], it is proved that the convolution
algebra of the top Borel–Moore homology on the Steinberg variety of type B/C realizes U(sl_n^{\theta} ), where sl_n^{\theta} is the fixed point subalgebra of involution on sl_n. So, the top Borel-Moore homology of the partial Springer fibers gives the representations of U(sl_n^{\theta} ) . we study these representations using Schur–Weyl duality and Springer theory.
报告人简介:马海涛,哈尔滨工程大学副教授,主要研究方向为几何表示论,主要研究对象包括Hecke代数、量子群表示以及他们与旗簇、Springer纤维、箭簇等代数簇之间的关系,目前在PRIMS,JAA等杂志发表论文多篇。