Baptiste Morin |
|
Chargé de
Recherche CNRS Institut de Mathématiques de Bordeaux baptiste.morin@math.u-bordeaux1.fr |
|
Domaines de recherche
Théorie des nombres et Géométrie arithmétique.
- Utilisation d'une cohomologie étale équivariante en topologie arithmétique. pdf Compositio Math. 144 (2008), no. 1, 32-60.
- On the Weil-étale cohomology of number fields. pdf Trans. Amer. Math. Soc. 363 (2011), 4877--4927.
- The Weil-étale fundamental group of a number field I. pdf Kyushu Journal of Mathematics, Vol. 65 (2011), 101--140.
- The Weil-étale fundamental group of a number field II. pdf Selecta Math. (N.S.) 17 (2011), no. 1, 67--137.
- Sur l'analogie entre le système dynamique de Deninger et le topos Weil-étale. pdf Tohoku Math. J. (2) 63 (2011), no. 3, 329--361.
- (With M. Flach). On the Weil-étale topos of regular arithmetic schemes. pdf Documenta Math. 17 (2012) 313--399.
- (With Ph. Cassou-Nogues, T. Chinburg and M.J. Taylor). The classifying topos of a group scheme and invariants of symmetric bundles. pdf Proc. Lond. Math. Soc. (3) 109 (2014), no.5, 1093-1136.
- (With Ph. Cassou-Nogues, T. Chinburg and M.J. Taylor). Hopf Algebras and quadratic forms. pdf Illinois J. Math. 58 (2014), no. 2, 413-442.
- Zeta function of regular arithmetic schemes at s=0. pdf Duke Math. Journal. 163 (2014), no. 7, 1263--1336.
- Milne's correcting factor and derived de Rham cohomology. pdf Documenta Math. 21 (2016) 39--48.
- Milne's correcting factor and derived de Rham cohomology II. pdf Documenta Math. 22, 1303-1321, (2017)
- (With Ph. Cassou-Nogues, T. Chinburg and M. J. Taylor). The inverse problem of Galois theory for torsors. pdf
- Zeta-values of arithmetic schemes.
Oberwolfach Report 31/2016.
- (With Ph. Cassou-Nogues, T. Chinburg and M. J. Taylor). On the trace form of Galois algebras. pdf
Bull. Lond. Math. Soc. 50 (2018), no. 5, 899--915. - (With M. Flach). Weil-étale cohomology and Zeta-values of proper regular arithmetic schemes. pdf Documenta Math. 23, 1425-1560 (2018)
- (With M. Flach). Deninger's conjectures and Weil-Arakelov cohomology. pdf Münster J. Math. 13 (2020), no. 2, 519--540.
- (With M. Flach). Compatibility of special values conjectures with the functional equation of zeta functions. pdf Documenta Math. 26, 1633--1677 (2021).
- (With T. Geisser) On the kernel of the Brauer-Manin pairing. pdf To appear in Journal of Number Theory.
Publications
- (With Ph. Cassou-Nogues). Tannakian twists of quadratic forms and orthogonal Nori motives. pdf
- A remark on Gamma factors and local Weil groups. pdf
- Absolute motives. (In preparation).
- Topological Hochschild homology and Zeta-values. pdf Soumis.
- (With T. Geisser) Pontryagin duality for varieties over p-adic fields. pdf Soumis.
- Sur le topos Weil-étale d'un corps de nombres. pdf Thesis (2008), Université Bordeaux 1.
- Cohomologie Weil-étale et valeurs spéciales des fonctions zêta des schémas arithmétiques. pdf Habilitation à Diriger les Recherches (2017), Université de Bordeaux.
- Alexey Beshenov, thèse 2014-2018.
- Davide Marangoni, thèse 2016-2020.
- Adrien Morin, thèse 2019-?.
- Marco Artusa, thèse 2021-?.
Prépublications
Thèse et Habilitation à Diriger les Recherches
Etudiants