BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Peter Crooks (Northeastern University) DTSTART:20220301T150000Z DTEND:20220301T160000Z DTSTAMP:20260423T024539Z UID:TRAC/36 DESCRIPTION:Title: Sh ift-of-argument algebras in geometry and representation theory\nby Pet er Crooks (Northeastern University) as part of The TRAC Seminar - Théorie de Représentations et ses Applications et Connections\n\n\nAbstract\nInt egrable systems first came to prominence as a geometric abstraction of str ucture in classical mechanics. Despite these origins\, integrable systems have been found to interact meaningfully with pure mathematics. Modern exa mples include the role such systems play in the Langlands program\, mirror symmetry\, and quantum cohomology. On the other hand\, Mishchenko-Fomenko systems represent another paradigm of integrable systems in pure mathemat ics. They exhibit the kind of Lie-theoretic symmetry that allows difficult geometric problems to be posed and solved entirely in algebraic terms. Th e algebraic incarnations of Mishchenko-Fomenko systems are the so-called s hift-of-argument algebras\, which enjoy connections to geometry and repres entation theory.\n\n\n\nI will give a non-technical overview of the themes mentioned above. Some emphasis will be placed on work in progress with Iv a Halacheva and Valerio Toledano Laredo.\n LOCATION:https://researchseminars.org/talk/TRAC/36/ END:VEVENT END:VCALENDAR