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SUMMARY:Aaron Pollack (UCSD)
DTSTART:20201124T210000Z
DTEND:20201124T220000Z
DTSTAMP:20260423T041510Z
UID:UAANTS/8
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/UAANTS/8/">S
 ingular modular forms on quaternionic E_8</a>\nby Aaron Pollack (UCSD) as 
 part of University of Arizona Algebra and Number Theory Seminar\n\n\nAbstr
 act\nThe exceptional group $E_{7\,3}$ has a symmetric space with Hermitian
  tube structure. On it\, Henry Kim wrote down low weight holomorphic modul
 ar forms that are "singular" in the sense that their Fourier expansion has
  many terms equal to zero. The symmetric space associated to the exception
 al group $E_{8\,4}$ does not have a Hermitian structure\, but it has what 
 might be the next best thing: a quaternionic structure and associated "mod
 ular forms". I will explain the construction of singular modular forms on 
 $E_{8\,4}$\, and the proof that these special modular forms have rational 
 Fourier expansions\, in a precise sense. This builds off of work of Wee Te
 ck Gan and uses key input from Gordan Savin.\n
LOCATION:https://researchseminars.org/talk/UAANTS/8/
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