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SUMMARY:Alexander Polishchuk (University of Oregon\, USA)
DTSTART:20200709T150000Z
DTEND:20200709T160000Z
DTSTAMP:20260423T041408Z
UID:LAGOON/9
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/LAGOON/9/">G
 eometry of the Associative Yang-Baxter equation</a>\nby Alexander Polishch
 uk (University of Oregon\, USA) as part of Longitudinal Algebra and Geomet
 ry Open ONline Seminar (LAGOON)\n\n\nAbstract\nI will describe the connect
 ion\, discovered jointly with Yanki Lekili\, between Associative Yang-Baxt
 er equation (AYBE) and pairs of 1-spherical objects in A-infinity categori
 es. I will then explain how such pairs arise from noncommutative orders ov
 er singular curves\, in particular\, how to get all nondegenerate trigonom
 etric solutions of the AYBE in this way. If time allows\, I will talk abou
 t the Lie analog of this story for the classical Yang-Baxter equation.\n
LOCATION:https://researchseminars.org/talk/LAGOON/9/
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