»ã±¨±êÌâ (Title)£ºGeometric construction of Schur algebras£¨Schur´úÊýµÄ¼¸ºÎ»ú¹Ø£©

»ã±¨ÈË (Speaker)£ºÂÞÀõ½ÌÊÚ£¨»ª¶«Ê¦·¶´óѧ£©

»ã±¨¹¦·ò (Time)£º2024Äê12ÔÂ20ÈÕ£¨ÖÜÎ壩16:00-17:00

»ã±¨µØÖ· (Place)£ºÐ£±¾²¿GJ303

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»ã±¨ÌáÒª£ºWe provide the geometric construction of a series of generalized Schur algebras of any type via Borel-Moore homologies and equivariant K-groups of generalized Steinberg varieties. As applications, we obtain a Schur algebra analogue of the local geometric Langlands correspondence of any type, provide an equivariant K-theoretic realization of quasi-split i-quantum groups of affine type AIII, and establish a geometric Howe duality for affine i-quantum groups. This is joint work with my students Zheming Xu and Yang Yang.