Exact WKB and abelianization of flat connections

Duration: 1 hour 15 mins
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Description: Neitzke, A
Thursday 6th May 2021 - 16:00 to 17:00
 
Created: 2021-05-07 10:46
Collection: Applicable resurgent asymptotics: towards a universal theory
Publisher: Isaac Newton Institute for Mathematical Sciences
Copyright: Neitzke, A
Language: eng (English)
 
Abstract: I will discuss a geometric approach to the exact WKB method via "abelianization" of
flat connections -- replacing SL(N)-connections over a Riemann surface b
GL(1)-connections over an N-fold branched cover -- and relations to
Donaldson-Thomas invariants and cluster algebras. Most of the story is on solid
footing for equations of order N=2 (the case of Schrodinger equations), and



conjectural for higher N.
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