21 citations · 66 across the 19 of their papers we have counts for
21 papers
Parametrization and reduction to depth zero of -blocks of tame -adic groups
Jean-François Dat, Jessica Fintzen
Let be a reductive group over a non-archimedean local field of residue characteristic . We consider pairs consisting of a "wild inertia" Langlands parameter $ϕ:…
Supercuspidal representations: construction, classification, and characters
Jessica Fintzen
The building blocks for irreducible smooth representations of p-adic groups are the supercuspidal representations. In these notes that are an expansion of a lecture series given du…
An introduction to representations of p-adic groups
Jessica Fintzen
An explicit understanding of the (category of all smooth, complex) representations of p-adic groups provides an important tool not just within representation theory. It also has ap…
A depth-zero principal-series block whose Hecke algebra has a non-trivial two-cocycle
Jeffrey D. Adler, Jessica Fintzen, Kazuma Ohara
Recently the authors have shown that every Hecke algebra associated to a type constructed by Kim and Yu is isomorphic to a Hecke algebra for a depth-zero type. An example in the li…
Construction of tame supercuspidal representations in arbitrary residue characteristic
Jessica Fintzen, David Schwein
Let F be a nonarchimedean local field whose residue field has at least four elements. Let G be a connected reductive group over F that splits over a tamely ramified field extension…
Reduction to depth zero for tame p-adic groups via Hecke algebra isomorphisms
Jeffrey D. Adler, Jessica Fintzen, Manish Mishra +1
Let be a nonarchimedean local field of residual characteristic . Let denote a connected reductive group over that splits over a tamely ramified extension of . Let…
Structure of Hecke algebras arising from types
Jeffrey D. Adler, Jessica Fintzen, Manish Mishra +1
Let denote a connected reductive group over a nonarchimedean local field of residue characteristic , and let denote an algebraically closed field of charac…
Supercuspidal representations in non-defining characteristics
Jessica Fintzen
We show that a mod--representation of a p-adic group arising from the analogue of Yu's construction is supercuspidal if and only if it arises from a supercuspidal representat…
A twisted Yu construction, Harish-Chandra characters, and endoscopy
Jessica Fintzen, Tasho Kaletha, Loren Spice
We give a modification of Yu's construction of supercuspidal representations of a connected reductive group over a non-archimedean local field. This modification restores the valid…
Congruences of algebraic automorphic forms and supercuspidal representations
Jessica Fintzen, Sug Woo Shin
Let be a connected reductive group over a totally real field which is compact modulo center at archimedean places. We find congruences modulo an arbitrary power of p betwee…
On certain sign characters of tori and their extensions to Bruhat-Tits groups
Jessica Fintzen, Tasho Kaletha, Loren Spice
We consider two sign characters defined on a tamely ramified maximal torus T of a twisted Levi subgroup M of a reductive p-adic group G. We show that their product extends to the s…
On the construction of tame supercuspidal representations
Jessica Fintzen
Let F be a non-archimedean local field of odd residual characteristic. Let G be a (connected) reductive group over F that splits over a tamely ramified field extension of F. We rev…
Tame cuspidal representations in non-defining characteristics
Jessica Fintzen
Let F be a non-archimedean local field of odd residual characteristic p. Let G be a (connected) reductive group that splits over a tamely ramified field extension of F. We show tha…
Types for tame p-adic groups
Jessica Fintzen
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…
Tame tori in p-adic groups and good semisimple elements
Jessica Fintzen
Let G be a reductive group over a non-archimedean local field k. We provide necessary conditions and sufficient conditions for all tori of G to split over a tamely ramified extensi…
On Kostant Sections and Topological Nilpotence
Jeffrey D. Adler, Jessica Fintzen, Sandeep Varma
Let G denote a connected, quasi-split reductive group over a field F that is complete with respect to a discrete valuation and that has a perfect residue field. Under mild hypothes…
Differential operators and families of automorphic forms on unitary groups of arbitrary signature
Ellen Eischen, Jessica Fintzen, Elena Mantovan +1
In the 1970's, Serre exploited congruences between -expansion coefficients of Eisenstein series to produce -adic families of Eisenstein series and, in turn, -adic zeta fun…
On the Moy-Prasad filtration
Jessica Fintzen
Let K be a maximal unramified extension of a nonarchimedean local field with arbitrary residual characteristic p. Let G be a reductive group over K which splits over a tamely ramif…
Stable vectors in Moy-Prasad filtrations
Jessica Fintzen, Beth Romano
Let k be a finite extension of Q_p, let G be an absolutely simple split reductive group over k, and let K be a maximal unramified extension of k. To each point in the Bruhat-Tits b…
p-adic q-expansion principles on unitary Shimura varieties
Ana Caraiani, Ellen Eischen, Jessica Fintzen +2
We formulate and prove certain vanishing theorems for p-adic automorphic forms on unitary groups of arbitrary signature. The p-adic q-expansion principle for p-adic modular forms o…
Reflection subgroups of odd-angled Coxeter groups
Anna Felikson, Jessica Fintzen, Pavel Tumarkin
We give a criterion for a finitely generated odd-angled Coxeter group to have a proper finite index subgroup generated by reflections. The answer is given in terms of the least pri…