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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:20221007T094600Z
UID:indico-event-6673@indico.math.cnrs.fr
DESCRIPTION:Speakers: Jun Su\n\nCohomology of arithmetic subgroups\, with
algebraic representations as coefficients\, has played an important role i
n the construction of Langlands correspondence. Traditionally the first st
ep to access these objects is to view them as cohomology of sheaves on loc
ally symmetric spaces and hence connect them with spaces of functions. How
ever\, sometimes infinite dimensional coefficents also naturally arise\, e
.g. when you try to attach elliptic curves to weight 2 eigenforms on GL_2/
an imaginary cubic field\, and the sheaf theoretic viewpoint might no long
er be fruitful. In this talkÂ we'll explain a very simple alternative unde
rstanding of the connection between arithmetic group cohomology (with fini
te dimensional coefficients) and function spaces\, and discuss its applica
tion to infinite dimensional coefficients.\n\nhttps://indico.math.cnrs.fr/
event/6673/
URL:https://indico.math.cnrs.fr/event/6673/
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