Friday, February 12 | |
Stacks Seminar
Time: 11:30
Speaker: Jeffrey Morton (Western) Title: "Groupoid Representation Theory" Room: MC 107 Abstract: The natural analog for a groupoid of the representation of a group on a vector space is a representation on a vector bundles or, with a little more structure, sheaves. This talk will introduce the representation theory of groupoids, and its relation to Morita equivalence. Algebra Seminar
Time: 14:30
Speaker: Rajender Adibhatla (Carleton University) Title: "Local splitting behaviour of modular Galois representations" Room: MC 108 Abstract: This talk will discuss the local splitting behaviour of ordinary modular Galois representations and relate them to companion forms and complex multiplication. Two modular forms (specifically p-ordinary, normalized eigenforms) are said to be "companions" if the Galois representations attached to them satisfy a certain congruence property. Companion forms modulo p play a role in the weight optimization part of (the recently established) Serre's Modularity Conjecture. Companion forms modulo pn can be used to reformulate a question of Greenberg about when a normalized eigenform has CM (complex multiplication). | |
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