Algebra and Representation Theory Seminar
Fluctuations of the depth under the local Langlands correspondence
(Directrice de Recherches au CNRS, Institut de Mathématiques de Jussieu, Paris, France)
Time and Place
Friday, October 12, 2018
Tea will be served at 3:00 PM in PHSC 424.
Moy and Prasad introduced a general notion of depth for complex representations of p-adic groups. There is also a natural notion of depth for Langlands parameters involving the ramification groups of the absolute Galois group of the base field. We will first describe cases in which the local Langlands preserves the depth. Next we will exhibit some examples of widely ramified situations in which the correspondence increases the depth and another ones in which it decreases it.
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