AGNT Ical Atom

A venue for invited and local speakers to present their research on topics surrounding algebraic geometry and number theory, broadly conceived. All meetings start at 16:00 sharp and end at 17:00. Some meetings are held in the subterranean room -101, others are held online. We expect to broadcast most meetings over Zoom at the URL https://us02web.zoom.us/j/84396320442

The seminar meets on Mondays, 12:10-13:10, in -101
Attend Online

2023–24–B meetings

Date
Title
Speaker
Abstract
Wed, May 8 x-y duality in topological recursion, Hurwitz numbers and integrabilityOnline Boris Bychkov (HSE and Haifa)

Topological recursion is a remarkable universal recursive procedure that has been found in many enumerative geometry problems, from combinatorics of maps, to random matrices, Gromov-Witten invariants, Hurwitz numbers, Mirzakhani’s hyperbolic volumes of moduli spaces, knot polynomials. A recursion needs an initial data: a spectral curve, and the recursion defines the sequence of invariants of that spectral curve. There is a duality in topological recursion which allows one to obtain closed formulas for the invariants of the recursion and which has implications in free probability theory and integrable hierarchies. In the talk I will survey recent progress in the topic with the examples from Hurwitz numbers theory, Hodge integrals and combinatorics of maps.

The talk is based on the joint works with A. Alexandrov, P. Dunin-Barkowski, M. Kazarian and S. Shadrin.
Wed, May 29, 14:10–15:00 Supersingular elliptic curves, quaternion algebras and some applications to cryptographyOnline Eyal Goren (McGill University)

Seminar run by Dr. Ishai Dan-Cohen and Prof. Amnon Besser