BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Alexander Schapiro (UC Berkeley\, USA)
DTSTART:20210426T140000Z
DTEND:20210426T150000Z
DTSTAMP:20260422T175806Z
UID:QGS/19
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/QGS/19/">Clu
 ster realization of spherical DAHA</a>\nby Alexander Schapiro (UC Berkeley
 \, USA) as part of Quantum Groups Seminar [QGS]\n\n\nAbstract\nSpherical s
 ubalgebra of Cherednik's double affine Hecke algebra of type A admits a po
 lynomial representation in which its generators act via elementary symmetr
 ic functions and Macdonald operators. Recognizing the elementary symmetric
  functions as eigenfunctions of quantum Toda Hamiltonians\, and applying (
 the inverse of) the Toda spectral transform\, one obtains a new representa
 tion of spherical DAHA. In this talk\, I will discuss how this new represe
 ntation gives rise to an injective homomorphism from the spherical DAHA in
 to a quantum cluster algebra in such a way that the action of the modular 
 group on the former is realized via cluster transformations.\n\nThe talk i
 s based on a joint work in progress with Philippe Di Francesco\, Rinat Ked
 em\, and Gus Schrader.\n
LOCATION:https://researchseminars.org/talk/QGS/19/
END:VEVENT
END:VCALENDAR