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Title:
Hitchin WKB-problem and P = W conjecture in lowest degree for rank 2 over the 5-punctured sphere

Speaker:
Szilard Szabo

Abstract:
We use abelianization of Higgs bundles away from the ramification divisor and fiducial solutions to analyze the large-scale behavior of Fenchel–Nielsen co-ordinates on the moduli space of rank 2 Higgs bundles on the Riemann sphere with five punctures. We solve the related Hitchin WKB problem and prove the lowest degree weighted pieces of the P = W conjecture in this case.

Link:
http://scgp.stonybrook.edu/video_portal/video.php?id=5677

Workshop:
Simons- Workshop: Hyperkahler quotients, singularities, and quivers