Publications [#374136] of Jessica Fintzen

Papers Published

1. Fintzen, J, Types for tame p-adic groups, Annals of Mathematics, vol. 193 no. 1 (January, 2021), pp. 303-346 [doi]
   (last updated on 2024/07/10)

   Abstract:
   Let k be a non-archimedean local field with residual characteristic p. Let G be a connected reductive group over k that splits over a tamely ramified field extension of k. Suppose p does not divide the order of the Weyl group of G. Then we show that every smooth irreducible complex representation of G(k) contains an s-type of the form constructed by Kim{ Yu and that every irreducible supercuspidal representation arises from Yu's construction. This improves an earlier result of Kim, which held only in characteristic zero and with a very large and ineffective bound on p. By contrast, our bound on p is explicit and tight, and our result holds in positive characteristic as well. Moreover, our approach is more explicit in extracting an input for Yu's construction from a given representation.