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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > K_2 and quantum curves

## K_2 and quantum curvesAdd to your list(s) Download to your calendar using vCal - Matt Kerr (Washington University in St. Louis)
- Thursday 21 July 2022, 10:00-11:00
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. KA2W03 - Mathematical physics: algebraic cycles, strings and amplitudes The basic objects for this talk are motives consisting of a curve together with a K_2 class, and their mixed Hodge-theoretic invariants. My main objective will be to explain a connection (recently proved in joint work with C. Doran and S. Sinha Babu) between (i) Hodge-theoretically distinguished points in the moduli of such motives and (ii) eigenvalues of operators on L^2® obtained by quantizing the equations of the curves. (Here “distinguished” turns out not to be “special” in the Tannakian sense discussed in B. Klingler’s recent talk, but rather a mixed analogue of rank-1 attractor points.) By local mirror symmetry, this gives evidence for a conjecture in topological string theory relating enumerative invariants of toric CY 3 -folds to spectra of quantum curves. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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