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SUMMARY:Aaron Pollack (UC San Diego)
DTSTART:20201018T183000Z
DTEND:20201018T190000Z
DTSTAMP:20260416T123124Z
UID:MRTC2020/15
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MRTC2020/15/
 ">Singular modular forms on quaternionic $\\mathrm{E}_8$</a>\nby Aaron Pol
 lack (UC San Diego) as part of The 2020 Paul J. Sally\, Jr. Midwest Repres
 entation Theory Conference\n\n\nAbstract\nThe exceptional group $\\mathrm{
 E}_{7\,3}$ has a symmetric space with Hermitian tube structure.  On it\, H
 enry Kim wrote down low weight holomorphic modular forms that are "singula
 r" in the sense that their Fourier expansion has many terms equal to zero.
   The exceptional group $\\mathrm{E}_{8\,4}$ does not have a Hermitian str
 ucture\, but it has what might be the next best thing: a quaternionic stru
 cture and associated "modular forms". I will explain the construction of s
 ingular modular forms on $\\mathrm{E}_{8\,4}$\, and the proof that these s
 pecial modular forms have rational Fourier expansions\, in a precise sense
 .  This builds off of work of Wee Teck Gan and uses key input from Gordan 
 Savin.\n
LOCATION:https://researchseminars.org/talk/MRTC2020/15/
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