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DTSTART:19700329T010000
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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Modular forms of half-integral weight on G_2 - Aar
on Pollack (University of California\, San Diego)
DTSTART;TZID=Europe/London:20220825T100000
DTEND;TZID=Europe/London:20220825T110000
UID:TALK177239AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/177239
DESCRIPTION:Classical holomorphic modular forms are number-the
oretic objects that have been intensely studied. T
he split exceptional group G_2 does not support a
theory of holomorphic modular forms\, but it does
possess so-called quaternionic modular forms. Thes
e are a special class of automorphic forms that ap
pear to behave similarly to holomorphic modular fo
rms. In the talk\, I will describe a theory of mod
ular forms of half-integral weight on G_2 and othe
r exceptional groups. In particular\, we prove the
existence of a modular form of weight 1/2 on G_2
whose Fourier coefficients are related to the 2-to
rsion in the narrow class groups of totally real c
ubic fields.\nThis is joint work with Spencer Lesl
ie (Boston College).
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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