Geometry of the Associative Yang-Baxter equation
Alexander Polishchuk (University of Oregon, USA)
Abstract: I will describe the connection, discovered jointly with Yanki Lekili, between Associative Yang-Baxter equation (AYBE) and pairs of 1-spherical objects in A-infinity categories. I will then explain how such pairs arise from noncommutative orders over singular curves, in particular, how to get all nondegenerate trigonometric solutions of the AYBE in this way. If time allows, I will talk about the Lie analog of this story for the classical Yang-Baxter equation.
mathematical physicscommutative algebraalgebraic geometryrings and algebrasrepresentation theorysymplectic geometry
Audience: researchers in the topic
Longitudinal Algebra and Geometry Open ONline Seminar (LAGOON)
Series comments: Description: Research webinar series
The LAGOON webinar series was supported as part of the International Centre for Mathematical Sciences (ICMS) and the Isaac Newton Institute for Mathematical Sciences (INI) Online Mathematical Sciences Seminars and is now sponsored by the University of Cologne and the University of Pavia. Please register here to obtain the Zoom link and password for the meetings.
LAGOON will take place online every last Wednesday of the month from 14:00-15:00 (Time Zone Berlin, Rome, Paris).
Videos of the talks can be viewed here.
Video recordings of past talks until April 2022 can still be viewed on the ICMS webpage here.
| Organizers: | Severin Barmeier, Frank Neumann*, Sibylle Schroll* |
| *contact for this listing |