Welcome to Thomas Gobet’s webpage !

 

Bienvenue sur la page web professionnelle de Thomas Gobet !

Maître de conférences HDR

Adresse e-mail : thomas.gobet [\ldots] lmpt.univ-tours.fr

Adresse postale :
Institut Denis Poisson, CNRS UMR 7013
Faculté des Sciences et Techniques
Université de Tours
Parc de Grandmont
37200 TOURS, France

Bureau : E2160

Téléphone : (+33) 2 47 36 71 11


Quelques responsabilités

  • Co-organisateur du séminaire SPACE
  • Responsable de l’axe thématique « Théorie des groupes » du réseau thématique Algèbre (ex-GDR TLAG).
  • Membre élu du conseil de laboratoire de l’IDP (depuis janvier 2024).
  • Co-organisateur de l’école d’hiver Winterbraids XII (Tours, février 2023) du GDR Tresses.
  • Comités de sélection MCF: Tours (2023), Calais (2024).

Quelques exposés récents


Notes de cours et mini-cours de niveau recherche


Enseignement


Groupe de travail d’algèbre


Encadrement de thèses


Publications

Articles. Published versions may differ from arxiv versions. If you need a copy of one of the following papers please send me an email.

  1. Categorification of the Temperley-Lieb algebra by bimodules, Journal of Algebra 419 (2014), 277-317. arxiv. talk.
  2. Noncrossing partitions and Bruhat order (with Nathan Williams), European Journal of Combinatorics 53 (2016), 8-34. arxiv. talk.
  3. Noncrossing partitions, fully commutative elements and bases of the Temperley-Lieb algebra, Journal of Knot Theory and its Ramifications 25 (2016), no. 6, 27 pp. arxiv. talk.
  4. Dual braid monoids, Mikado braids and positivity in Hecke algebras (with François Digne), Math. Z. 285 (2017), no. 1-2, 215-238. arxiv. talk.
  5. On the Hurwitz action in finite Coxeter groups (with Barbara Baumeister, Kieran Roberts, Patrick Wegener), Journal of Group Theory 20 (2017), no.1, 103-131. Link to the computer programs we used in this paper. arxiv. talk.
  6. Twisted filtrations of Soergel bimodules and linear Rouquier complexes Journal of Algebra 484 (2017), 275-309. arxiv. talk.
  7. On cycle decompositions in Coxeter groups, Séminaire Lotharingien de Combinatoire 78B (2017), Article #45, 12 pp. arxiv. talk.
  8. Simple dual braids, noncrossing partitions and Mikado braids of type D_n (with Barbara Baumeister), Bull. of the London Math. Soc. 49 (2017), no. 6, 1048-1065. arxiv. talk.
  9. On generalized categories of Soergel bimodules in type A_2 (with Anne-Laure Thiel), C. R. Acad. Sci. 356 (2018), no. 3, 258-263. arxiv.
  10. Dual Garside structures and Coxeter sortable elements, J. Comb. Algebra 4 (2020), 167-213. arxiv. talk.
  11. A Soergel-like category for complex reflection groups of rank one (with Anne-Laure Thiel), Math. Z. 295, 643–665 (2020). arxiv. talk.
  12. Coxeter-Catalan combinatorics and Temperley-Lieb algebras, Algebr. Represent. Theory 24 (2021), 169-201. arxiv.
  13. Braid groups of normalizers of reflection subgroups (with Anthony Henderson and Ivan Marin), Ann. Inst. Fourier 71 (2021), no. 6, 2273-2304. arxiv.
  14. Parametrization, structure and Bruhat order of certain spherical quotients (with Pierre-Emmanuel Chaput and Lucas Fresse), Represent. Theory 25 (2021), 935-974. arxiv. colloquium-style talk.
  15. On some torus knot groups and submonoids of the braid groups, Journal of Algebra 607 (2022), Part B, 260-289. arxiv. talk. Addendum.
  16. Hecke algebras of normalizers of parabolic subgroups (with Ivan Marin), Algebr. Represent. Theory 26 (2023), 1609–1639. arxiv.
  17. Toric reflection groups, J. Aust. Math. Soc. 116 (2024), no. 2, 171–199. arxiv. talk.
  18. A new Garside structure on torus knot groups and some complex braid groups, J. Knot Theory Ramifications 32 (2023), no. 13, Paper No. 2350094, 36 pp. arxiv.
  19. Non symmetric Cauchy kernel, crystals and last passage percolation (with Olga Azenhas and Cédric Lecouvey), accepted for publication in Tunisian Journal of Mathematics (2023).
  20. On maximal dihedral reflection subgroups and generalized noncrossing partitions, accepted for publication in Proceedings of the AMS.
  21. Odd and even Fibonacci lattices arising from a Garside monoid (with Baptiste Rognerud), preprint (2023). talk.
  22. Elements of minimal length and Bruhat order on fixed point cosets of Coxeter groups (with Nathan Chapelier), preprint (2023).

Autres documents


Mes collaboratrices et collaborateurs

Olga Azenhas, Barbara Baumeister, Nathan Chapelier-Laget, Pierre-Emmanuel Chaput, François Digne, Lucas Fresse, Anthony Henderson, Cédric Lecouvey, Ivan Marin, Kieran Roberts, Baptiste Rognerud, Anne-Laure Thiel, Patrick Wegener, Nathan Williams.