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

K_2 and quantum curves

Add to your list(s) Download to your calendar using vCal

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.

Tell a friend about this talk:

This talk is included in these lists:

Note that ex-directory lists are not shown.

 

© 2006-2022 Talks.cam, University of Cambridge. Contact Us | Help and Documentation | Privacy and Publicity