BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Ting Xue (University of Melbourne)
DTSTART:20210317T203000Z
DTEND:20210317T213000Z
DTSTAMP:20260423T052451Z
UID:MITLie/24
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITLie/24/">
 Graded Lie algebras\, character sheaves\, and representations of DAHAs</a>
 \nby Ting Xue (University of Melbourne) as part of MIT Lie groups seminar\
 n\nLecture held in 2-142.\n\nAbstract\nWe describe a strategy for classify
 ing character sheaves in the setting of graded Lie algebras. Via a nearby 
 cycle construction we show that irreducible representations of Hecke algeb
 ras of complex reflection groups at roots of unity enter the description o
 f character sheaves. We will explain connection to the work of Lusztig and
  Yun where (Fourier transforms of) character sheaves are parametrized by i
 rreducible representations of trigonometric double affine Hecke algebras (
 DAHA). We will discuss some conjectures arising from this connection\, whi
 ch relate finite dimensional irreducible representations of trigonometric 
 DAHAs to irreducible representations of Hecke algebras. This is based on j
 oint work with Kari Vilonen and partly with Misha Grinberg.\n
LOCATION:https://researchseminars.org/talk/MITLie/24/
END:VEVENT
END:VCALENDAR