Pure Math Grad Student Seminar (PuMaGraSS)

Friday, December 01, 2017 at 12:00pm to 1:00pm

2-449

Guangyi Yue: Combinatorial Wall Crossing and the Mullineux Involution

Abstract: In this talk I’ll explain some result from my recent paper with Panagiotis Dimakis. We will define the combinatorial wall crossing transformation and the generalized column regularization on partitions and prove that they have the same effect when the partition corresponds to the one row Young diagram $(n)$. As corollaries we explicitly describe the quotients of specific types of partitions. We also prove that the one row partition is the unique partition that stays regular at any step of the wall crossing transformation.

Department
Department of Mathematics
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