Algebra Seminar

03/11/2020 - 2:00pm to 3:00pm
CB 342
Speaker(s) / Presenter(s): 
Ian Le, Northwestern University

Title: Positive Tropicalization of Character Varieties

Abstract: I will start by defining framed character varieties for a surface S and the group SL_n. Then I will introduce the notion of a cluster algebra and describe the cluster structure on the framed character variety. This allows us to define the positive tropicalization of the character variety. I will end by giving many examples of how to explicitly write down tropical points of the character variety using the affine Grassmannian.

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