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UID:7f88b37590b0a5ed45415742eeb5418d
CATEGORIES:Lie Group Quantum Mathematics Seminar
CREATED:20210602T101835
SUMMARY:Title Multiple Dirichlet series, Whittaker functions and lattice models
LOCATION:zoom
DESCRIPTION:<p>&nbsp;<br /><br />Time 6/4/2021, Friday, 12:00 (Eastern Time)</p><p>Abst
 ract In this talk I will review recent research joint with Ben Brubaker, Va
 lentin Buciumas and Daniel Bump on certain solvable lattice models and rela
 ted quantum groups connected to Whittaker functions in non-archimedean repr
 esentation theory.</p><p>Historically, one motivation for finding such latt
 ice models was to study and compute Weyl group multiple Dirichlet series vi
 a Whittaker functions on metaplectic n-covers of GL_r. I will describe how 
 the connections between all these different objects were developed and the 
 benefits of introducing solvable lattice models. Lastly, I will discuss int
 eresting new results for metaplectic Whittaker functions coming from the co
 nnection to lattice models that hint of a symmetry between the rank r and t
 he degree n of the cover.</p>
CONTACT:Henrik Gustafsson, Rutgers University
X-EXTRAINFO:Zoom link https://rutgers.zoom.us/j/93921465287\nMeeting ID: 939 2146 5287\
 nPasscode: 196884, the dimension of the weight 2 homogeneous\nsubspace of t
 he moonshine module
DTSTAMP:20260827T094726
DTSTART;TZID=America/New_York:20210604T120000
DTEND;TZID=America/New_York:20210602T130000
SEQUENCE:0
TRANSP:OPAQUE
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