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Geometry and Dynamics Seminar
Categorical q-deformed rational numbers via Bridgeland stability conditions
Categorical q-deformed rational numbers via Bridgeland stability conditions
Organizer
Speaker
Asilata Bapat
Time
Wednesday, May 15, 2024 12:30 PM - 1:30 PM
Venue
A3-1-101
Online
Zoom 928 682 9093
(BIMSA)
Abstract
We will discuss new categorical interpretations of two distinct q-deformations of the rational numbers. The first one, introduced by Morier-Genoud and Ovsienko in a different context, enjoys fascinating combinatorial, topological, and algebraic properties. The second one is a natural partner to the first, and is new. We obtain these deformations via boundary points of a compactification of the space of Bridgeland stability conditions on the 2-Calabi--Yau category of the A2 quiver. The talk is based on joint work with Louis Becker, Anand Deopurkar, and Anthony Licata.