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Geometric Schur Duality ABC and Beyond
李毅强(University at Buffalo 副教授)
2018-06-06 13:41  闵行数学楼126报告厅

摘要:
Schur duality was discovered around the beginning of 20th century and serves as a bridge between representation theory of general linear groups/algebras and symmetric groups. The duality, or rather its quantum version, has pervasive applications in representation theory, such as the resolution of the Kazhdan-Lusztig problem of superalgebra gl_{m|n}. Its geometric realization was only given recently by Beilinson, Lusztig, MacPherson and Grojnowski. The geometric approach leads to a construction of canonical basis of the quantized version of gl_n. In this talk, I shall present this duality, its parallel generalizations to classical type and the ramifications.
This talk is based on my joint works with H. Bao, Z. Fan, J. Kujawa and W. Wang.

邀请人: 罗栗