Base change for ramified unitary groups: the strongly ramified case

Autor: Geo Kam-Fai Tam, Corinne Blondel

Publikováno v: Journal für die reine und angewandte Mathematik
Journal für die reine und angewandte Mathematik, 2021, ⟨10.1515/crelle-2020-0049⟩
Journal für die Reine und Angewandte Mathematik, 774, pp. 127-161
Journal für die Reine und Angewandte Mathematik, 774, 127-161

We describe a special case of base change of certain supercuspidal representations from a ramified unitary group to a general linear group, both defined over a p-adic field of odd residual characteristic. Roughly speaking, we require the underlying s

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0cd732e8322644713b68b2102ad3994
https://hdl.handle.net/21.11116/0000-000D-4C5C-821.11116/0000-0008-C199-121.11116/0000-0007-B8BC-6

Explicit Whittaker data for essentially tame supercuspidal representations

Autor: Geo Kam-Fai Tam

Publikováno v: Pacific Journal of Mathematics, 301, 617-638
Pacific Journal of Mathematics
Pacific Journal of Mathematics, 301, 2, pp. 617-638

Based on the ideas of Bushnell and Henniart, and of Paskunas and Stevens, we construct explicit Whittaker data for an essentially tame supercuspidal representation of $GL_n(F), where $F$ is a non-Archimedean local field.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b762f5c791e51b109c38ba3e8172fce2
https://doi.org/10.2140/pjm.2019.301.617

ON THE SHARPNESS OF THE BOUND FOR THE LOCAL CONVERSE THEOREM OF p-ADIC GLprime.

Autor: ADRIAN, MOSHE¹ moshe.adrian@qc.cuny.edu, BAIYING LIU² liu2053@purdue.edu, STEVENS, SHAUN³ Shaun.Stevens@uea.ac.uk, GEO KAM-FAI TAM⁴ geotam@mpim-bonn.mpg.de

Publikováno v: Proceedings of the American Mathematical Society, Series B. 2/20/2018, Vol. 5 Issue 2, p6-17. 12p.