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SUMMARY:Finiteness questions for Galois representations
DTSTART;VALUE=DATE-TIME:20190129T133000Z
DTEND;VALUE=DATE-TIME:20190129T143000Z
DTSTAMP;VALUE=DATE-TIME:20190820T182636Z
UID:indico-event-8845@ictp.it
DESCRIPTION:\n Abstract: Let p be a prime number. Due to classical work of
Shimura and Deligne\, to any "newform" (a modular form that is an eigenfu
nction for the Hecke operators and assumed of level one in the talk) one a
ttaches a p-adic Galois representation. Since there are infinitely many ne
wforms\, there are infinitely many attached p-adic Galois representations.
However\, if one reduces them modulo p\, there are only finitely many (up
to isomorphism). It is tempting to ask what happens "in between"\, i.e. w
hether there is still finiteness modulo fixed prime powers. In the talk\,
I will motivate and explain a conjecture made with Ian Kiming and Nadim Ru
stom and explain partial results\, including a relation to a strong questi
on by Kevin Buzzard.The talk is based on joint work with Ian Kiming and Na
dim Rustom. \n\nhttp://indico.ictp.it/event/8845/
LOCATION:ICTP Leonardo Building - Luigi Stasi Seminar Room
URL:http://indico.ictp.it/event/8845/
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