CMSA/Math Science Lectures in Honor of Raoul Bott
Organizers：
CMSA, Harvard University
Speaker：
Andrew Neitzke
Yale University
Time：
Thur., 04:00 am, Oct. 17, 2024 (Beijing time)
Online：
Zoom Webinar Registration
//harvard.zoom.us/webinar/register/WN_FdXunKh_TmmLF0GxpPwAYg#/registration
Title：
Abelianization in analysis of ODEs
Abstract:
I will describe the exact WKB method for asymptotic analysis of families of ODEs in one variable, and its interpretation as a kind of abelianization procedure, which replaces GL(N)-connections over a Riemann surface by GL(1)-connections over an N-fold branched cover. This abelianization procedure connects exact WKB to various subjects in geometry (cluster algebras, moduli of Higgs bundles, enumerative geometry). One application is a conjectural description of Hitchin’s hyperkahler metric on the moduli of Higgs bundles; I will review some recent progress on these conjectures.
