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SUMMARY:Aaron Pollack (UCSD)
DTSTART:20201008T210000Z
DTEND:20201008T220000Z
DTSTAMP:20260423T024728Z
UID:UCSD_NTS/12
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UCSD_NTS/12/
 ">Singular modular forms on quaternionic E_8</a>\nby Aaron Pollack (UCSD) 
 as part of UCSD number theory seminar\n\nLecture held in normally APM 7321
 \, currently online.\n\nAbstract\nThe exceptional group $E_{7\,3}$ has a s
 ymmetric space with Hermitian tube structure.  On it\, Henry Kim wrote dow
 n low weight holomorphic modular forms that are "singular" in the sense th
 at their Fourier expansion has many terms equal to zero.  The symmetric sp
 ace associated to the exceptional group $E_{8\,4}$ does not have a Hermiti
 an structure\, but it has what might be the next best thing: a quaternioni
 c structure and associated "modular forms". I will explain the constructio
 n of singular modular forms on $E_{8\,4}$\, and the proof that these speci
 al modular forms have rational Fourier expansions\, in a precise sense.  T
 his builds off of work of Wee Teck Gan and uses key input from Gordan Savi
 n.\n\npre-talk at 1:30pm\n
LOCATION:https://researchseminars.org/talk/UCSD_NTS/12/
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