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Quantisation of spectral curves, mirror symmetry, and special values of Riemann zeta
Mathematical Physics Seminar| Speaker: | Motohico Mulase, Davis |
| Related Webpage: | https://www.math.ucdavis.edu/~mulase/ |
| Location: | 3024 PDSB |
| Start time: | Mon, Mar 31 2025, 4:15PM |
Quantum curves were introduced by Aganagic, Dijkgraaf, Klemm, Marino and Vafa in 2006. Mathematically, they are 1D Schoedinger equations of a special type closely related to number theory and moduli spaces. In this talk I will start with simple examples obtained by my team of collaborators in the context of combinatorics (such as Catalan numbers), moduli spaces of algebraic curves, and Hitchin systems/character varieties. Then I will present a current work in progress with Alex Cruz Morales and Zach Ibarra that strongly suggests the existence of quantum spectral curves and mirror symmetry behind the "irrationality" of zeta(3).