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Probability and Combinatorics

Tuesday, January 19, 2010 - 4:30pm

William Keith

Drexel

Location

University of Pennsylvania

DRL 2N36

In 2008, Chunwei Song conjectured an identity for the t=q limiting case of the q,t-Schroder theorem, and gave a proof for part of the k=2 case. Rewriting this case as a statement relating maj statistics of Catalan words and 123-avoiding permutations, we can prove the full case and propose some ideas for proceeding higher. The talk will be mostly self-contained and suitable for graduate students.