BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yuchen Fu (Harvard University) DTSTART:20220223T210000Z DTEND:20220223T220000Z DTSTAMP:20260423T035420Z UID:MITLie/48 DESCRIPTION:Title: Kazhdan-Lusztig Equivalence at the Iwahori Level\nby Yuchen Fu (Harvar d University) as part of MIT Lie groups seminar\n\nLecture held in 2-142.\ n\nAbstract\nWe construct an equivalence between Iwahori-integrable repres entations of affine Lie algebras and representations of the "mixed" quantu m group\, thus confirming a conjecture by Gaitsgory. Our proof utilizes fa ctorization methods: we show that both sides are equivalent to algebraic/t opological factorization modules over a certain factorization algebra\, wh ich can then be compared via Riemann-Hilbert. On the quantum group side th is is achieved via general machinery of homotopical algebra\, whereas the affine side requires inputs from the theory of (renormalized) ind-coherent sheaves as well as compatibility with global Langlands over P1.\n\nThis i s joint work with Lin Chen.\n LOCATION:https://researchseminars.org/talk/MITLie/48/ END:VEVENT END:VCALENDAR