Wednesday April 5, 4:00pm-5:10pm
Padelford
C-401
Pre-Seminar 3:30pm-3:55pm in PDL C-401
ABSTRACT
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To a graph G, one can associate a polynomial with non-negative integer coefficients called the Kazhdan-Lusztig polynomial of G. More generally, you can obtain the Kazhdan-Lusztig polynomial of any matroid, but today we will focus on the specialization to graphs. The Kazhdan-Lusztig theory for matroids was developed in analogy with the classical theory for Coxeter groups, though there are some important differences which I will touch on lightly. In this talk, we will construct the defining recursion for the Kazhdan-Lusztig polynomial of thagomizer graphs and use this obtain a closed form for the coefficients of the polynomial. No prior knowledge of matroids or Kazhdan-Lusztig polynomials will be assumed. |
Sara Billey, Combinatorics Seminar, Mathematics Department, University of Washington |
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