Abelianization in Analysis of ODEs - Applications to Geometric Structures

Explore a mathematical lecture that delves into the exact WKB method for asymptotic analysis of families of ODEs in one variable and its interpretation as an abelianization procedure. Learn how this mathematical concept transforms GL(N)-connections over a Riemann surface into GL(1)-connections over an N-fold branched cover. Discover the connections between exact WKB and various geometric subjects, including cluster algebras, moduli of Higgs bundles, and enumerative geometry. Examine recent progress on conjectures related to Hitchin's hyperkahler metric on the moduli of Higgs bundles, presented as part of the CMSA Math Science Lectures in Honor of Raoul Bott.