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Affine Robinson-Schensted and affine dual equivalence graphs

Pavlo Pylyavskyy, University of Minnesota-Twin Cities
Wednesday, September 27, 2017 - 3:30pm
PDL C-401

In this talk I will report on results of two papers. The first describes an affine analog of Robinson-Schensted correspondence, illuminating the cellular structure in affine type A Kazhdan-Lusztig theory. The second applies the results of the first to understand the structure of undirected edges in the corresponding W-graphs. Equivalently, it builds affine analogs of dual equivalence graphs, distinct from analogs motivated by Schubert calculus. This is a joint work with Michael Chmutov, Elena Yudovina and Joel Lewis. 



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