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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 22E50 | enregistrements trouvés : 97

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

Beyond Endoscopy and elliptic terms in the trace formula Arthur, James Greig | CIRM H Nouveau

The local Langlands correspondence: functoriality, $L$-functions, gamma functions and the epsilon factors Prasad, Dipendra | CIRM H Nouveau

Automorphic forms, representations and l-function :proceedings of the symposium in pure mathematics of the a.m.s. held at oregon state university,corvallis,oregon, july 11 - aug. 5,1977 Borel, A. ; Casselman, W. | American Mathematical Society 1979 Nouveau

Automorphic forms,representations and l-functionproceedings of the symposium in pure mathematics of the a.m.s. held at oregon state university,corvallis,oregon, july 11 - aug. 5,1977 Borel, A. ; Casselman, W. | American Mathematical Society 1979 Nouveau

Non-commutative harmonic analysis and Lie groups :proceedings of the international conference held in Marseille-Luminy#June 24-29 Carmona, J. ; Delorme, P. ; Vergne, M. | Springer-Verlag 1987 Nouveau

Representation theory and number theory in connection with the local langlands conjecture :proceedings of a conference on... held at the university of Augsburg#Dec. 8-14 Ritter, J. | American Mathematical Society 1989 Nouveau

Séminaire Bourbaki. Vol. 1975/76exposées 471-488 Bourbaki, N. | Springer-Verlag 1976 Nouveau

Topological field theory, primitive forms and related topics :proceedings of the 38th Taniguchi symposium on ... held at Kansai Seminar House#Dec. 3-13 Kashiwara, Masaki ; Matsuo, Atsushi ; Saito, Kyoji ; Satake, Ikuo | Birkhäuser 1998 Nouveau

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

Séminaire Bourbaki. Vol. 1999/2000 :exposés 865-879 | Société Mathématique de France 2002 Nouveau

Séminaire Bourbaki. Vol. 2000/2001 :exposés 880-893 | Société Mathématique de France 1998 Nouveau

Séminaire Bourbaki. Vol. 1986/87 :exposés 669-685 | Société Mathématique de France 1987 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

Multiple Dirichlet series, automorphic forms, and analytic number theory :proceedings of the Bretton woods workshop on...#July 11-14 Friedberg, Solomon ; Bump, Daniel ; Goldfeld, Dorian ; Holffstein, Jeffrey | American Mathematical Society 2006 Nouveau

Representation theory and automorphic forms#Feb. 14-17 Kobayashi, Toshiyuki ; Schmid, Wilfried ; Yang, Jae-Hyun | Birkhäuser 2007 Nouveau

Group representations, ergodic theory, and mathematical physics :a tribute to George W. MackeyAMS special session honoring the memory of George W. Mackey#Jan. 7-8 Doran, Robert S. ; Moore, Calvin C. ; Zimmer, Robert J. | Amercian Mathematical Society 2008 Nouveau

Representation theory of real reductive Lie groups:AMS-IMS-SIAM joint summer research conferenceSnowbird # june 4-8, 2006 Arthur, James Greig ; Schmid, Wilfried ; Trapa, Peter E. | American Mathematical Society 2008 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

Zeta functions in algebra and geometry.Second international workshopPalma de Mallorca # may 3-7, 2010 Campillo, Antonio ; Cardona, Gabriel ; Melle Hernandez, Alejandro ; Veys, Wim ; Zuniga-Galindo, Wilson A. | American Mathematical Society;Real Sociedad Matematica Espanola 2012 Nouveau

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Automorphic forms, representations and l-function :
proceedings of the symposium in pure mathematics of the a.m.s. held at oregon state university,corvallis,oregon, july 11 - aug. 5,1977 Borel, A. ; Casselman, W. | American Mathematical Society 1979 Nouveau

Automorphic forms,representations and l-function
proceedings of the symposium in pure mathematics of the a.m.s. held at oregon state university,corvallis,oregon, july 11 - aug. 5,1977 Borel, A. ; Casselman, W. | American Mathematical Society 1979 Nouveau

Non-commutative harmonic analysis and Lie groups :
proceedings of the international conference held in Marseille-Luminy#June 24-29 Carmona, J. ; Delorme, P. ; Vergne, M. | Springer-Verlag 1987 Nouveau

Representation theory and number theory in connection with the local langlands conjecture :
proceedings of a conference on... held at the university of Augsburg#Dec. 8-14 Ritter, J. | American Mathematical Society 1989 Nouveau

Séminaire Bourbaki. Vol. 1975/76
exposées 471-488 Bourbaki, N. | Springer-Verlag 1976 Nouveau

Topological field theory, primitive forms and related topics :
proceedings of the 38th Taniguchi symposium on ... held at Kansai Seminar House#Dec. 3-13 Kashiwara, Masaki ; Matsuo, Atsushi ; Saito, Kyoji ; Satake, Ikuo | Birkhäuser 1998 Nouveau

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

Séminaire Bourbaki. Vol. 1999/2000 :
exposés 865-879 | Société Mathématique de France 2002 Nouveau

Séminaire Bourbaki. Vol. 2000/2001 :
exposés 880-893 | Société Mathématique de France 1998 Nouveau

Séminaire Bourbaki. Vol. 1986/87 :
exposés 669-685 | Société Mathématique de France 1987 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

Multiple Dirichlet series, automorphic forms, and analytic number theory :
proceedings of the Bretton woods workshop on...#July 11-14 Friedberg, Solomon ; Bump, Daniel ; Goldfeld, Dorian ; Holffstein, Jeffrey | American Mathematical Society 2006 Nouveau

Group representations, ergodic theory, and mathematical physics :
a tribute to George W. Mackey
AMS special session honoring the memory of George W. Mackey#Jan. 7-8 Doran, Robert S. ; Moore, Calvin C. ; Zimmer, Robert J. | Amercian Mathematical Society 2008 Nouveau

Representation theory of real reductive Lie groups:
AMS-IMS-SIAM joint summer research conference
Snowbird # june 4-8, 2006 Arthur, James Greig ; Schmid, Wilfried ; Trapa, Peter E. | American Mathematical Society 2008 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

Zeta functions in algebra and geometry.
Second international workshop
Palma de Mallorca # may 3-7, 2010 Campillo, Antonio ; Cardona, Gabriel ; Melle Hernandez, Alejandro ; Veys, Wim ; Zuniga-Galindo, Wilson A. | American Mathematical Society;Real Sociedad Matematica Espanola 2012 Nouveau