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SUMMARY:K_2 and quantum curves - Matt Kerr (Washington University in St. L
 ouis)
DTSTART:20220721T090000Z
DTEND:20220721T100000Z
UID:TALK175031@talks.cam.ac.uk
DESCRIPTION:The basic objects for this talk are motives consisting of a cu
 rve together with a K_2 class\, and their mixed Hodge-theoretic invariants
 .&nbsp\; My main objective will be to explain a connection (recently prove
 d in joint work with C. Doran and S. Sinha Babu) between (i) Hodge-theoret
 ically distinguished points in the moduli of such motives and (ii) eigenva
 lues of operators on L^2(R) obtained by quantizing the equations of the cu
 rves.&nbsp\; (Here "distinguished" turns out not to be "special" in the Ta
 nnakian sense discussed in B. Klingler's recent talk\, but rather a mixed 
 analogue of rank-1 attractor points.)&nbsp\; By local mirror symmetry\, th
 is gives evidence for a conjecture in topological string theory relating e
 numerative invariants of toric CY 3-folds to spectra of quantum curves.
LOCATION:Seminar Room 1\, Newton Institute
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