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- W2568621969 abstract "The conjectural local Langlands correspondence (LLC) can be thought of as a generalization of local class field theory: given a split reductive group G over a finite field extension k of Qp, it predicts that every irreducible supercuspidal representation of G(k) should correspond to a finite, Galois field extension of k, uniquely characterized in some way. The LLC has been proven in many cases for large primes p, but remains mysterious when p is small. Building on work of Reeder-Yu, Jessica Fintzen and I have found new supercuspidal representations for small p, each of which should correspond to a wildly ramified field extension. In my talk, I will describe both representations and corresponding field extensions for the case when G = G2." @default.
- W2568621969 created "2017-01-13" @default.
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- W2568621969 date "2016-01-01" @default.
- W2568621969 modified "2023-09-28" @default.
- W2568621969 title "On the local Langlands correspondence: New examples from the epipelagic zone" @default.
- W2568621969 hasPublicationYear "2016" @default.
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