Mathematics Seminar of the School of Physical Sciences
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Title: Depth Preservation in Local Langlands Correspondence
Date: January 25, 2018 (Thursday)
Abstract: I will begin with the review of ramification subgroups of the Galois groupof a local field. Using that, I will define the notions of the depth of a Galois representation and the depth of a Galois cocycle. I will describe how depth changes under natural functors such as induction and Shapiro's lemma. I will then explain local Langlands correspondence for tori and the failure of depth preservation in that in the wildly ramified case.