Friday, November 7, 2014 3:30 pm
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3:30 pm
EST (GMT -05:00)
Promotion for Staircase Tableaux
Speaker: | Kevin Purbhoo |
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Affiliation: | University of Waterloo |
Room: | Mathematics and Computer Building (MC) 5136B |
Abstract:
Promotion is one of the fundamental operations on standard young tableaux. It has received a fair bit of attention recently because of its relevance in representation theory, and its intriguing combinatorial structure. In 2010, Rhoades proved a theorem that the describes the orbit structure of promotion on tableaux of rectangular shape, and since then there have been several other proofs of this result. In this talk, I will discuss some new results about promotion on staircase shapes. These are proved using geometric ideas, and are essentially attributable to the existence of some very special subvarieties of a Grassmannian.