BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Caner Nazaroglu DTSTART:20250508T120000Z DTEND:20250508T130000Z DTSTAMP:20260421T154247Z UID:UEAPS/53 DESCRIPTION:Title: S tatistics for random representations of Lie algebras\nby Caner Nazarog lu as part of ANTLR seminar\n\nLecture held in EFRY 01.02.\n\nAbstract\nHo w does a typical finite-dimensional representation of a complex Lie algebr a look like? In this talk\, we address this question for the infinite fami ly $\\mathfrak{sl}_{r+1}(\\mathbb{C})$ with $r \\geq 2$. Specifically\, we derive the asymptotic statistical properties of a representation sampled uniformly from all representations with a given large dimension. This natu rally extends similar studies on integer partitions with methods inspired from statistical mechanics. The multivariable generalization we consider c ontains some new features compared to integer partitions\, which have been studied from a large range of points of view from combinatorics to modula rity. In the talk\, we will review those aspects familiar from integer par titions\, describe the physics inspired approach to the problem\, and fina lly detail our results for the general case. This is joint work with Walte r Bridges and Kathrin Bringmann.\n LOCATION:https://researchseminars.org/talk/UEAPS/53/ END:VEVENT END:VCALENDAR