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SUMMARY:Arithmetic group cohomology with generalised coefficients
DTSTART;VALUE=DATE-TIME:20210610T120000Z
DTEND;VALUE=DATE-TIME:20210610T130000Z
DTSTAMP;VALUE=DATE-TIME:20211022T071927Z
UID:indico-event-6673@indico.math.cnrs.fr
DESCRIPTION:Cohomology of arithmetic subgroups\, with algebraic representa
tions as coefficients\, has played an important role in the construction o
f Langlands correspondence. Traditionally the first step to access these o
bjects is to view them as cohomology of sheaves on locally symmetric space
s and hence connect them with spaces of functions. However\, sometimes inf
inite dimensional coefficents also naturally arise\, e.g. when you try to
attach elliptic curves to weight 2 eigenforms on GL_2/an imaginary cubic f
ield\, and the sheaf theoretic viewpoint might no longer be fruitful. In t
his talkÂ we'll explain a very simple alternative understanding of the con
nection between arithmetic group cohomology (with finite dimensional coeff
icients) and function spaces\, and discuss its application to infinite dim
ensional coefficients.\n\nhttps://indico.math.cnrs.fr/event/6673/
LOCATION:
URL:https://indico.math.cnrs.fr/event/6673/
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