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Research talks;Lie Theory and Generalizations;Number Theory

Let $p$ be a prime number and $F$ be a non-archimedean field with finite residue class field of characteristic $p$. Understanding the category of Iwahori-Hecke modules for $SL_2(F)$ is of great interest in the study of $p$-modular smooth representations of $SL_2(F)$, as these modules naturally show up as spaces of invariant vectors under the action of the standard pro-$p$-Iwahori subgroup. In this talk, we will discuss a work in progress in which we aim to classify all non-trivial extensions between these modules and to compare them with their analogues for $p$-modular smooth representations of $SL_2(F)$ and with their Galois counterpart in the setting of the local Langlands correspondences in natural characteristic. Let $p$ be a prime number and $F$ be a non-archimedean field with finite residue class field of characteristic $p$. Understanding the category of Iwahori-Hecke modules for $SL_2(F)$ is of great interest in the study of $p$-modular smooth representations of $SL_2(F)$, as these modules naturally show up as spaces of invariant vectors under the action of the standard pro-$p$-Iwahori subgroup. In this talk, we will discuss a work in progress in ...

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Documents 11F70 | enregistrements trouvés : 95

Extensions between Iwahori-Hecke modules for $SL_2(F)$ in characteristic $p$ Abdellatif, Ramla | CIRM H Nouveau

Arithmetic algebraic geometry :including papers from the Graduate Summer School of the Institute for Advanced Study Mathematics #June 20 July 10 Conrad, Brian ; Rubin, Karl | American Mathematical Society 2001 Nouveau

Automorphic forms and Galois representations, volume 1.Proceedings of the 94th London mathematical society (LMS) - EPSRC Durham symposiumDurham # july 18-28, 2011 Diamond, Fred ; Kassaei, Payman L. ; Kim, Minhyong | Cambridge University Press 2014 Nouveau

Automorphic forms and L-functions I. Global aspectsa workshop in honor of Steve Gelbart on the occasion of his sixtieth birthdayRehovot and Tel Aviv # may 15-19, 2006 Ginzburg, David ; Lapid, Erez ; Soudry, David | American Mathematical Society;Bar-Ilan University 2009 Nouveau

Automorphic forms and L-functions II. Local aspectsa workshop in honor of Steve Gelbart on the occasion of his sixtieth birthdayRehovot and Tel Aviv # may 15-19, 2006 Ginzburg, David ; Lapid, Erez ; Soudry, David | American Mathematical Society;Bar-Ilan University 2009 Nouveau

Automorphic forms and the Langlands program.Selected papers of the conference on Langlands and geometric Langlands programGuangzhou # june 18-21, 2007 Ji, Lizhen ; Liu, Kefeng ; Yau, Shing-Tung ; Zheng, Zhu-Jun | International Press;The Higher Education Press of China 2010 Nouveau

Autour des schémas en groupes.Ecole d'été "schémas en groupes" / Group schemes, a celebration of SGA3:Volume IIMarseille # septembre 2011 Calmes, Baptiste ; Chaudouard, Pierre-Henri ; Conrad, Brian ; Demarche, Cyril ; Fasel, Jean | Société Mathématique de France 2015 Nouveau

Class field theory - Its centenary and prospect :proceedings of the 7th MSJ International Research Institute of the Mathematical Society of Japan#June 3-12 Miyake, Katsuya | Mathematical Society of Japan 2001 Nouveau

Geometry and representation theory of real and p-adic groups :fifth workshop on...took place at the Universidad Nacional de Cordoba#Aug. Tirao, Juan ; Vogan, David A. ; Wolf, Joseph A. | Birkhäuser 1998 Nouveau

Harmonic analysis on reductive, p-adic groups.AMS special session on harmonic analysis and representations of reductive, p-adic groupsSan Francisco # january 16, 2010 Doran, Robert S. ; Sally, Paul J. Jr. ; Spice, Loren | American Mathematical Society 2011 Nouveau

harmonic analysis, the trace formula, and Shimura varieties :proceedings of the Clay mathematic institute 2003 summer school, the fields institute Toronto#June 2-27 Arthur, James Greig ; Ellwood, David A. ; Kottwitz, Robert e. | American Mathematical Society 2005 Nouveau

Motives. Part.1proceedings of the summer research conference on motives University of Washington July 20 - Aug. 2 Jannsen, Uwe ; Kleiman, Steven L. ; Serre, Jean-Pierre | American Mathematical Society 1994 Nouveau

Motives. Part.2proceedings of the summer research conference on motivesUniversityof WashingtonJuly 20 - Aug. 2 Jannsen, Uwe ; Kleiman, Steven L. ; Serre, Jean-Pierre | American Mathematical Society 1994 Nouveau

Notes from the 11th European summer school in group theory (ESSGT).Lecture series: the Selberg trace formulaMarseille # july 2-13, 2001 Labesse, Jean-pierre ; Wallach, Nolan R. | CIRM 2001 Nouveau

Representation theory, number theory, and invariant theory :in honor of Roger Howe on the occasion of his 70th birthdayNew Haven # June 1-5, 2015 Cogdell, Jim ; Kim, Ju-Lee ; Zhu, Chen-Bo | Birkhäuser 2017 Nouveau

Representations of reductive $p$-adic groups:international conference, IISER, Pune, India, 2017 Aubert, Anne-Marie ; Mishra, Manish ; Roche, Alan ; Spallone, Steven | Birkhäuser 2019 Nouveau

Séminaire Bourbaki. Vol. 1988/89 :exposés 700-714 | Société Mathématique de France 1989 Nouveau

Séminaire Bourbaki. Vol. 1998/99 :exposés 850-864 | Société Mathématique de France 2000 Nouveau

Séminaire Bourbaki. Vol. 2010/2011:exposés 1027-1042 | Société Mathématique de France 2012 Nouveau

Classification des représentations admissibles irréductibles modulo p des groupes réductifs p-adiques Henniart, Guy | CIRM Nouveau

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Arithmetic algebraic geometry :
including papers from the Graduate Summer School of the Institute for Advanced Study Mathematics #June 20 July 10 Conrad, Brian ; Rubin, Karl | American Mathematical Society 2001 Nouveau

Automorphic forms and Galois representations, volume 1.
Proceedings of the 94th London mathematical society (LMS) - EPSRC Durham symposium
Durham # july 18-28, 2011 Diamond, Fred ; Kassaei, Payman L. ; Kim, Minhyong | Cambridge University Press 2014 Nouveau

Automorphic forms and L-functions I. Global aspects
a workshop in honor of Steve Gelbart on the occasion of his sixtieth birthday
Rehovot and Tel Aviv # may 15-19, 2006 Ginzburg, David ; Lapid, Erez ; Soudry, David | American Mathematical Society;Bar-Ilan University 2009 Nouveau

Automorphic forms and L-functions II. Local aspects
a workshop in honor of Steve Gelbart on the occasion of his sixtieth birthday
Rehovot and Tel Aviv # may 15-19, 2006 Ginzburg, David ; Lapid, Erez ; Soudry, David | American Mathematical Society;Bar-Ilan University 2009 Nouveau

Automorphic forms and the Langlands program.
Selected papers of the conference on Langlands and geometric Langlands program
Guangzhou # june 18-21, 2007 Ji, Lizhen ; Liu, Kefeng ; Yau, Shing-Tung ; Zheng, Zhu-Jun | International Press;The Higher Education Press of China 2010 Nouveau

Autour des schémas en groupes.
Ecole d'été "schémas en groupes" / Group schemes, a celebration of SGA3:
Volume II
Marseille # septembre 2011 Calmes, Baptiste ; Chaudouard, Pierre-Henri ; Conrad, Brian ; Demarche, Cyril ; Fasel, Jean | Société Mathématique de France 2015 Nouveau

Class field theory - Its centenary and prospect :
proceedings of the 7th MSJ International Research Institute of the Mathematical Society of Japan#June 3-12 Miyake, Katsuya | Mathematical Society of Japan 2001 Nouveau

Geometry and representation theory of real and p-adic groups :
fifth workshop on...took place at the Universidad Nacional de Cordoba#Aug. Tirao, Juan ; Vogan, David A. ; Wolf, Joseph A. | Birkhäuser 1998 Nouveau

Harmonic analysis on reductive, p-adic groups.
AMS special session on harmonic analysis and representations of reductive, p-adic groups
San Francisco # january 16, 2010 Doran, Robert S. ; Sally, Paul J. Jr. ; Spice, Loren | American Mathematical Society 2011 Nouveau

harmonic analysis, the trace formula, and Shimura varieties :
proceedings of the Clay mathematic institute 2003 summer school, the fields institute Toronto#June 2-27 Arthur, James Greig ; Ellwood, David A. ; Kottwitz, Robert e. | American Mathematical Society 2005 Nouveau

Motives. Part.1
proceedings of the summer research conference on motives University of Washington
July 20 - Aug. 2 Jannsen, Uwe ; Kleiman, Steven L. ; Serre, Jean-Pierre | American Mathematical Society 1994 Nouveau

Motives. Part.2
proceedings of the summer research conference on motives
Universityof Washington
July 20 - Aug. 2 Jannsen, Uwe ; Kleiman, Steven L. ; Serre, Jean-Pierre | American Mathematical Society 1994 Nouveau

Notes from the 11th European summer school in group theory (ESSGT).
Lecture series: the Selberg trace formula
Marseille # july 2-13, 2001 Labesse, Jean-pierre ; Wallach, Nolan R. | CIRM 2001 Nouveau

Representation theory, number theory, and invariant theory :
in honor of Roger Howe on the occasion of his 70th birthday
New Haven # June 1-5, 2015 Cogdell, Jim ; Kim, Ju-Lee ; Zhu, Chen-Bo | Birkhäuser 2017 Nouveau

Representations of reductive $p$-adic groups:
international conference, IISER, Pune, India, 2017 Aubert, Anne-Marie ; Mishra, Manish ; Roche, Alan ; Spallone, Steven | Birkhäuser 2019 Nouveau

Séminaire Bourbaki. Vol. 1988/89 :
exposés 700-714 | Société Mathématique de France 1989 Nouveau

Séminaire Bourbaki. Vol. 1998/99 :
exposés 850-864 | Société Mathématique de France 2000 Nouveau

Séminaire Bourbaki. Vol. 2010/2011:
exposés 1027-1042 | Société Mathématique de France 2012 Nouveau