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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 22E50 | enregistrements trouvés : 91

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

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

Séminaire N. Bourbaki.Vol. 2017-2018 : exposés 1140 à 1143 Bourbaki, Nicolas | Ecole Normale Superieure 2018 Nouveau

Around Langlands correspondences:international conferenceOrsay # June 17-20, 2015 Brumley, Farrell ; Gómez Aparicio, Maria Paula ; Minguez, Alberto | American Mathematical Society 2017 Nouveau

Advances in non-Archimedean analysis.13th international conference on p-adic functional analysisPaderborn # August 12-16, 2014 Glöckner, Helge ; Escassut, Alain ; Shamseddine, Khodr | American Mathematical Society 2016 Nouveau

Automorphic forms and Galois representations, volume 2.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

Representations of reductive groups:proceedings of the conference entitled 'Representations of reductive groups: a conference dedicated to David Vogan on his 60th birthday'.Cambridge, MA # May 19-23, 2014 Nevins, Monica ; Trapa, Peter E. | Birkhäuser 2015 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

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

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

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

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

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

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

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

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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

Séminaire N. Bourbaki.
Vol. 2017-2018 : exposés 1140 à 1143 Bourbaki, Nicolas | Ecole Normale Superieure 2018 Nouveau

Around Langlands correspondences:
international conference
Orsay # June 17-20, 2015 Brumley, Farrell ; Gómez Aparicio, Maria Paula ; Minguez, Alberto | American Mathematical Society 2017 Nouveau

Advances in non-Archimedean analysis.
13th international conference on p-adic functional analysis
Paderborn # August 12-16, 2014 Glöckner, Helge ; Escassut, Alain ; Shamseddine, Khodr | American Mathematical Society 2016 Nouveau

Automorphic forms and Galois representations, volume 2.
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

Representations of reductive groups:
proceedings of the conference entitled 'Representations of reductive groups: a conference dedicated to David Vogan on his 60th birthday'.
Cambridge, MA # May 19-23, 2014 Nevins, Monica ; Trapa, Peter E. | Birkhäuser 2015 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

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

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

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

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

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

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

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

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