BEGIN:VCALENDAR VERSION:2.0 PRODID:-//talks.cam.ac.uk//v3//EN BEGIN:VTIMEZONE TZID:Europe/London BEGIN:DAYLIGHT TZOFFSETFROM:+0000 TZOFFSETTO:+0100 TZNAME:BST DTSTART:19700329T010000 RRULE:FREQ=YEARLY;BYMONTH=3;BYDAY=-1SU END:DAYLIGHT BEGIN:STANDARD TZOFFSETFROM:+0100 TZOFFSETTO:+0000 TZNAME:GMT DTSTART:19701025T020000 RRULE:FREQ=YEARLY;BYMONTH=10;BYDAY=-1SU END:STANDARD END:VTIMEZONE BEGIN:VEVENT CATEGORIES:Isaac Newton Institute Seminar Series SUMMARY:From cluster algebras to representation theory and back - Hipolito Treffinger (Université Paris 7 - Denis-Diderot) DTSTART;TZID=Europe/London:20211026T160000 DTEND;TZID=Europe/London:20211026T170000 UID:TALK164638AThttp://talks.cam.ac.uk URL:http://talks.cam.ac.uk/talk/index/164638 DESCRIPTION:
In the last twenty years we have been witness t o the fruitful \;interplay between representat ion theory of quivers and cluster algebras. On the one hand\, representation theory has been a very powerful tool to categorify cluster algebras. On t he other hand\, the study of cluster algebras has unveiled phenomena that are now central in represe ntation theory\, such as tau-tilting theory or hig her homological algebra. \;
\nIn this ta lk\, which is based on joint work in progress with Nathan Ilten and Alfredo Ná\;jera\, I will explain how one can use deformation theory to cons truct cluster algebras of finite type from (the du al of) their exchange \;graph using deformatio n theory. Time permitting I will mention how this process can be generalised to tau-tilting finite a lgebras. \;
LOCATION:Seminar Room 1\, Newton Institute CONTACT: END:VEVENT END:VCALENDAR