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    Arithmetic Geometry and Representation Theory Research Seminar

    Supercuspidal blocks and the local Langlands correspondenceArithmetic Geometry and Representation Theory Research Seminar

    by Dr Kazuma Ohara

    → Europe/Berlin
    Main Lecture Hall (Max Planck Institute for Mathematics)

    Main Lecture Hall

    Max Planck Institute for Mathematics

    Vivatsgasse 7 53111 Bonn
    Description
    The talk concerns 2-cocycles attached to supercuspidal Bernstein blocks and their description via the local Langlands correspondence. In the first part, I will explain the construction of the 2-cocycles, discuss their interpretations in terms of unramified twists and Azumaya algebras, and formulate a conjectural description of their cohomology classes using enhanced $L$-parameters.

    In the second part, I will explain the result establishing this conjecture for Kaletha’s local Langlands correspondence for non-singular supercuspidal representations.

    Organized by

    Prof. Fintzen, Kaletha, Scholze