Seminar on Azumaya Algebras

Classification and obstruction theory for deformations of vector bundles and Azumaya algebras. Relative deformation problems.
Speaker: Cameron Ruether (IMAR)
Mar 3, 2025, 14:00
Sala 804 "Ciprian Foias", IMAR

Infinitesimal thickenings of schemes, introduction to deformation problems, the Lie algebra
Speaker: Ilan Zysman (ENS Rennes/IMAR)
Feb 24, 2025, 14:00
Sala 804 "Ciprian Foias", IMAR

Quasi-coherent modules on a scheme and its site, triviality of cohomology for quasi-coherent modules over affines
Speaker: Cameron Ruether (IMAR)
Feb 10, 2025, 14:00
Sala 804 "Ciprian Foias", IMAR

The Severi-Brauer Scheme associated to an Azumaya algebra
Speaker: Philippe Gille (CNRS/IMAR)
Jan 27, 2025, 14:00
Sala 804 "Ciprian Foias", IMAR

The étale and flat sites over a scheme, Azumaya algebras over schemes, differences from Azumaya algebras over rings
Speaker: Cameron Ruether (IMAR)
Jan 20, 2025, 14:00
Sala 804 "Ciprian Foias", IMAR

Yoga of forms: vector bundles and Azumaya algebras mirrored in H<sup>1</sup>
Speaker: Jing Liu (Univ. Lyon and SUSTech)
Dec 2, 2024, 14:00
Sala 804 "Ciprian Foias", IMAR

Čech cohomology and classifying Azumaya algebras
Speaker: Cameron Ruether (IMAR)
Nov 25, 2024, 14:00
Sala 804 "Ciprian Foias", IMAR

Étale morphisms and the Étale site of a ring
Speaker: Ilan Zysman (ENS Rennes/IMAR)
Nov 18, 2024, 14:00
Sala 804 "Ciprian Foias", IMAR

Azumaya algebras: Morita equivalence and Brauer equivalence
Speaker: Cameron Ruether (IMAR)
Nov 11, 2024, 14:00
Sala 804 "Ciprian Foias", IMAR

Azumaya algebras: definition over rings, faithfully flat splitting, the failure/analogue of Skolem-Noether
Speaker: Margot Bruneaux (Institut Camille Jordan)
Nov 4, 2024, 14:00
Sala 804 "Ciprian Foias", IMAR

Brauer group of k(t). Application to the rationality problem.
Speaker: Philippe Gille (CNRS/IMAR)
Oct 28, 2024, 14:00
Sala 804 "Ciprian Foias", IMAR

Splitting fields, example of local fields
Speaker: Philippe Gille (CNRS/IMAR)
Oct 21, 2024, 14:00
Sala 804 "Ciprian Foias", IMAR

Central simple algebras: reducednorms and traces, splitting fields and Galois cohomology, Brauer groups
Speaker: Ilan Zysman (ENS Rennes/IMAR)
Oct 14, 2024, 14:00
Sala 804 "Ciprian Foias", IMAR

Central simple algebras:Wedderburn’s theorem and characterizations, Skolem-Noether theorem
Speaker: Cameron Ruether (IMAR)
Oct 7, 2024, 14:00
Sala 804 "Ciprian Foias", IMAR

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