Local analog of the Deligne-Riemann-Roch isomorphism for line bundles on a family of curves.
Denis Osipov (Visitor of Sino-Russian mathematical center of PKU, Steklov Mathematical Institute of RAS, HSE University)
Abstract: I will speak about a local analog of the Deligne-Riemann-Roch theorem for line bundles on a family of smooth projective curves. First, I recall the Deligne-Riemann-Roch theorem. Then I will speak about its local analog. The two parts for this local analog of the Deligne-Riemann-Roch theorem consist of the central extensions of the group that is the semidirect product of the group of invertible functions on the formal punctured disc and the group of automorphisms on this disc. These central extensions are by the multiplicative group. The theorem is that these central extensions are equivalent over the ground field of rational numbers. The talk is based on my reсent preprint arXiv:2308.0649.
mathematical physicsdynamical systemsquantum algebrarepresentation theorysymplectic geometry
Audience: general audience
Comments: Workshop on Lie theory and integrable systems at BIMSA
BIMSA Integrable Systems Seminar
Series comments: The aim is to bring together experts in integrable systems and related areas of theoretical and mathematical physics and mathematics. There will be research presentations and overview talks.
Audience: Graduate students and researchers interested in integrable systems and related mathematical structures, such as symplectic and Poisson geometry and representation theory.
The zoom link will be distributed by mail, so please join the mailing list if you are interested in attending the seminar.
| Organizers: | Niсolai Reshetikhin, Andrii Liashyk, Ivan Sechin, Andrey Tsiganov* |
| *contact for this listing |