[Liste-CICMA] Brandon Levin, January 18 at 4pm at McGill

Guillermo Martinez-Zalce martinez at crm.umontreal.ca
Tue Jan 17 13:46:57 EST 2017


Brandon Levin, University of Chicago 
Event
18Jan201716:00to17:00
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Burnside Hall BURN 1205, 805 rue Sherbrooke Ouest, Montreal, QC, H3A 0B9, CA
Title:

 Serre's conjecture on modular forms 

 
Abstract:

The Langlands program is a far-reaching set of conjectural connections between analytic objects (e.g., modular forms) and arithmetic objects (e.g., elliptic curves). In 1987, Serre made a bold conjecture about modular forms in the spirit of a characteristic p Langlands program. Serre's conjecture (now a Theorem due to Khare-Wintenberger and Kisin) has a number of interesting consequences including Fermat's Last Theorem.  This talk will begin with overview of Serre's original conjecture (the two dimensional case). There are now a number of generalizations of this conjecture to higher dimensions. After introducing these higher dimensional analogues, I will describe recent progress towards the weight part of these conjectures. This is joint work with Daniel Le and Bao V. Le Hung.

____________________
Guillermo Martinez-Zalce
Responsable des laboratoires
Centre de recherches mathématiques
Université de Montréal
Case postale 6128, Succursale centre-ville
Montréal (Québec)
H3C 3J7
tel: (514) 343-7574
      (514) 398-3826 (mercredis)


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