[Liste-CICMA] 2016 Montreal-Toronto Workshop in Number Theory (December 7-9, 2016)

Guillermo Martinez-Zalce martinez at crm.umontreal.ca
Mon Nov 7 09:18:50 EST 2016

The `mock modular forms' introduced by Ramanujan nearly a century ago, remained an unexplained oddity until this century. Recent work of Bringmann, Bruinier, Fosum, Funke, Ono, Zagier, Zwegers, and many others has revealed that mock modular forms are the holomorphic parts of certain weak Maass forms and that such weak Maass forms in general contain deep arithmetic information. In particular, such forms appear to be connected with non-semisimple objects, for example, non-split extensions in the space of automorphic forms and non-semisimple Galois representations. They appear as derivatives of incoherent Eisenstein series. Moreover, analogous phenomena are now emerging in the theory of $p$-adic modular forms.

This workshop will attempt to survey this rapidly developing area, beginning with some historical background and continuing with an overview of some current work on weak Maass forms and their $p$-adic counterparts.

For more information and registration please visit:

http://www.crm.umontreal.ca/2016/MTWNT2016/index_e.php <http://www.crm.umontreal.ca/2016/MTWNT2016/index_e.php>
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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