醉月湖講座

主講者: 王偉強教授(University of Virginia)
講題: Symmetric groups, Hecke algebras, and geometry.
時間: 2013-03-04 (Mon.)  14:00 - 15:00
地點: 天文數學館2樓202教室
Abstract: The symmetric groups have classical connections with combinatorics and algebraic geometry (known as Schubert calculus). In this lecture, I will describe some algebraic structures of the centers of the group algebras of symmetric groups and its more recent connection to algebraic geometry (cohomology rings of Hilbert schemes of points on the affine plane). The symmetric group side of the story can be q-deformed to Hecke algebras, and this generalization reveals some remarkable integrality/positivity and calls for a geometric interpretation.
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