Abstracts for the Seminar

Spring 2016

**Speaker: **Michael Chmutov, University of Minnesota

**Title: **Matrix Ball Construction for affine Robinson-Schensted Correspondence

**Time:** 2:30 PM, Monday, February 22, 2016

**Place:** Malott 206

**Abstract:** In his study of Kazhdan-Lusztig cells in affine type A, Shi has introduced an affine analog of Robinson-Schensted correspondence. We generalize the Matrix-Ball Construction of Viennot and Fulton to give a more combinatorial realization of Shi's algorithm. As a byproduct, we also give a way to realize the affine correspondence via the usual Robinson-Schensted bumping algorithm. Next, inspired by Honeywill, we extend the algorithm to a bijection between the extended affine symmetric group and collection of triples (P, Q, r) where P and Q are tabloids and r is a dominant weight.

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