Asymptotic analysis of non-abelian Hodge theory in rank 2

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Date: 3/5/21
Speaker :Szabó Szilárd

AGDT Seminar


First I explain how recent results on the asymptotic solutions of Hitchin’s equations on a curve allow one to prove Simpson’s Geometric P = W conjecture for the 4-punctured sphere in rank 2. In the second part of the talk I outline the main ideas of my ongoing work on the extension of this result to the case of the 5-punctured sphere


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