Olivier Taïbi

Chargé de recherche au CNRS

Unité de Mathématiques Pures et Appliquées
ENS de Lyon Site Monod
46 Allée d'Italie
69364 Lyon Cedex 07
E-mail: olivier.taibi@ens-lyon.fr

Papers and preprints:

• A Nomizu-van Est theorem in Ekedahl's derived ℓ-adic setting
  preprint

• Statistics for Kneser p-neighbors, by Gaëtan Chenevier, I provided the appendix (507--513)
  Bull. Soc. Math. France 150 (3), 473--516 (2022)
  Journal version (DOI seems to be broken)

• Siegel modular forms of weight 13 and the Leech lattice, with Gaëtan Chenevier
  Enseign. Math. 68 (2022), no. 1/2, pp. 61--98
  DOI

• Discrete series multiplicites for classical groups over Z and level 1 algebraic cusp forms, with Gaëtan Chenevier
  Publ. Math. I.H.E.S. volume 131 (2020), 261--323
  DOI
  see here for tables, source code and explanations on how to use them.

• Global rigid inner forms vs isocrystals, with Tasho Kaletha
  to appear in Documenta Mathematica

• Arthur's multiplicity formula for GSp_4 and restriction to Sp_4, with Toby Gee
  Journal de l'École polytechnique Mathématiques volume 6 (2019), 469--535
  DOI

• The topology of A_g and its compactifications, survey by Klaus Hulek and Orsola Tommasi, I provided the appendix (167--188)
  Geometry of Moduli, Proceedings of the Abel Symposium 2017, Jan Arthur Christophersen, Kristian Ranestad Eds. Springer Verlag, 135--193 (2018)
  DOI

• Akizuki-Witt maps and Kaletha's global rigid inner forms
  Algebra and Number Theory 12 (2018), no. 4, 833--884
  DOI
  preprint previously entitled "On rigid inner forms"

• Galois and Cartan cohomology of real groups, with Jeffrey Adams
  Duke Math. J. 167 (2018), no. 6, 1057--1097
  DOI

• Arthur's multiplicity formula for certain inner forms of special orthogonal and symplectic groups
  Journal of the European Mathematical Society, Volume 21, Issue 3, 2019, 839–-871
  DOI

• Dimensions of spaces of level one automorphic forms for split classical groups using the trace formula
  Annales scientifiques de l'ENS, Volume 50 (2017), Number 2, pp. 269-344
  DOI Here are tables computed using the algorithm described in the paper. Source code

• Eigenvarieties for classical groups and complex conjugations in Galois representations
  Mathematical Research Letters, Volume 23 (2016), Number 4, pp. 1167-1220
  DOI

Le texte de ma thèse, effectuée sous la direction de Gaëtan Chenevier et soutenue le 19/09/2014 à l'École Polytechnique.

Notes for an M2 course entitled "The Jacquet-Langlands correspondence for GL₂(ℚₚ)" that I gave in 2019 and 2021.

Notes for the short course on the local Langlands conjecture given in 2022 at the IHES Summer School on the Langlands program