Jordan algebra conformal toolbox, ICMS Seminar Talk by Todor Popov
We employ the Jordan algebras for a succinct description of the dynamical conformal symmetries of integrable models.
14
02, 2023
27
01, 2023
Linear and Cyclic Codes over Rings – ICMS Seminar talk by Maryam Bajalan
The study of codes over the rings (ring-linear codes) attracted great interest after the work of Calderbank, Hammons, Kumar, Sloane, and Sole in the early 1990s. In this seminar, the basic theory of linear codes over finite commutative rings will be presented including the importance of codes over rings, various kinds of rings for ring-linear coding theory, the weight functions on finite rings, MacWilliams equivalence theorem and the connection between these codes and codes over fields via the Gray maps. Moreover, the cyclic codes over finite commutative rings will be considered. Finally, some well-known generalizations of cyclic codes such as negacyclic, quasi-cyclic, polycyclic, multivariable, polynomial and Abelian codes will be introduced.
27
01, 2023
On optimal packing of Minkowski balls and applications – ICMS Seminar talk by Nikolaj Glazunov
We investigate lattice packings of Minkowski balls and domains. By results of the proof of Minkowski conjecture about the critical determinant we divide the balls and domains on 3 classes: Minkowski, Davis and Chebyshev-Cohn. The optimal lattice packings of the balls and domains are obtained. The minimum areas of hexagons inscribed in the balls and domains and circumscribed around them are given. These results lead to algebro-geometric structures in the framework of Pontrjagin duality theory.
27
01, 2023
Introduction to Resolution of Singularities
In these lectures I will introduce the very basic objects that help study resolutions of singularities, from the point of view of valuations. This is the historic strategy pioneered by Zariski and later by Abhyankar. My goal is to present a proof of the resolution of surfaces in characteristic zero, via the local uniformization problem. This approach had lost momentum after Hironaka’s acclaimed breakthrough, but has regained interest in the 90s as new ideas emerged in the works of Spivakovsky and Teissier.
23
01, 2023
Homological Mirror Symmetry – IMSA Conference
In recent months, several new results were obtained in Homological Mirror Symmetry. The purpose by now, in this traditional winter conference, is to survey these results and open new directions for development and collaboration.
17
01, 2023
Consortium Distinguished Lecture Series – Andrés Navas
Andrés Navas is a mathematician specializing in dynamical systems, geometry, and group theory and is a world-renowned expert in ergodic theory. He was a student of Étienne Ghys. For his scientific achievements, he was awarded the MCA prize.
10
12, 2022
Women in Mathematics in South-Eastern Europe 2022
The initiative Women in Mathematics of South-Eastern Europe, aiming at promoting the role of female mathematicians, started in Dec 2020, when the inaugural conference took place. We intend to make these conferences annual. The main goal of these conferences is to celebrate women in Mathematics, to disseminate new results and create new long-term collaborations among scientists in South-Eastern Europe. We hope Women in Mathematics of South-Eastern Europe will attract the attention of young researchers and researchers from less-favoured countries.
26
09, 2022
Singularities: Resolutions and Valuations, talk by Andrei Benguş-Lasnier
In this introductory talk, I will present some concepts surrounding singularities and why and how we look for their resolutions.
22
07, 2022
Construction of derived Quot-schemes – ICMS Seminar Talk by Dennis Borisov
The author explains an approach started by Ciocan-Fontanine and Kapranov.
19
07, 2022
Vafa-Witten invariants on 4 and 3 dimensional manifolds, by Artan Sheshmani
I will talk about joint work with Shing-Tung Yau, Sergei Gukov, and earlier joint work with Gholampour and Yau on Mathematical definition of Vafa-Witten invariants on 4 and 3 dimensional manifolds.
