PLEASE NOTE CHANGE OF SEMINAR TIME (14:30) - ICTP Stasi Seminar room, (Speaker: Gabor WEISE)

[ICTP Math Section]

PLEASE NOTE THAT THE TIME OF THE SEMINAR HAS BEEN CHANGED FROM 14:30 TO 
15:30.

M A T H E M A T I C S   S E M I N A R S  2019


Tuesday 29 January, at 14:30 hrs.


Gabor Wiese (Université du Luxembourg)


Title: Finiteness questions for Galois representations


Abstract:  Let p be a prime number. Due to classical work of Shimura and 
Deligne, to any "newform" (a modular form that is an eigenfunction for 
the Hecke operators and assumed of level one in the talk) one attaches a 
p-adic Galois representation. Since there are infinitely many newforms, 
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. whether there is 
still finiteness modulo fixed prime powers. In the talk, I will motivate 
and explain a conjecture made with Ian Kiming and Nadim Rustom and 
explain partial results, including a relation to a strong question by 
Kevin Buzzard.
The talk is based on joint work with Ian Kiming and Nadim Rustom.


VENUE:  Stasi Seminar Room (ICTP Leonardo da Vinci Building, first floor)

-- 
Koutou Mabilo
ICTP Mathematics Group
Leonardo Da Vinci Building
Strada Costiera no. 11
34151 Trieste, Italy
Tel. no.: +39-040-2240455

For to be free is not merely to cast off one's chains, but to live in a way
that respects and enhances the freedom of others. Nelson Mandela