About tbranzov

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So far tbranzov has created 68 blog entries.
30 05, 2023

Arc spaces and partition identities

2023-05-30T13:05:43+03:00May 30th, 2023|Colloquium, News|

An integer partition of an integer number n is simply a decreasing sequence of integers whose sum is equal to n. Naturally, integer partitions and their theory are ubiquitous in mathematics. I will report on a link between an algebro-geometric invariant of singularities and the theory of integer partitions in the spirit of Ramanujan. The talk is aimed at a wide audience of mathematicians.

22 05, 2023

Consortium Distinguished Lecture Series presents Michael R. Douglas

2023-05-22T13:45:56+03:00May 22nd, 2023|Consortium Distinguished Lecture Series, News|

Michael R. Douglas received his PhD in Physics in 1988 under the supervision of John Schwarz, one of the developers and leading researchers in superstring theory. Douglas is best known for his work in string theory, for the development of matrix models (the first nonperturbative formulations of string theory), for his work on Dirichlet branes and on noncommutative geometry in string theory, and for the development of the statistical approach to string phenomenology. He has influenced the developments of modern mathematics by finding interpretations of branes on the language of derived categories and introducing the theory of stability conditions for categories.

9 05, 2023

Objectivity and Subjectivity in Mathematics

2023-05-09T15:41:59+03:00May 9th, 2023|ICMS Seminar, News|

In the first part of the talk, I shall explore the consequences of distinguishing the foundations of meaning and the foundations of truth in mathematical statements, or imagination and rigor as motors of mathematical development. The foundations of meaning can be sought in our largely unconscious perception of the world, which modern cognitive science is exploring.

30 04, 2023

Quantum Toric Geometry, Generalized Geometries and O-Minimality

2023-05-09T15:46:55+03:00April 30th, 2023|Conferences, News|

The event is jointly organized by the International Centre for Mathematical Sciences (ICMS-Sofia) at the Institute of Mathematics and Informatics in Sofia, and the Institute for the Mathematical Sciences of the Americas (IMSA) at the University of Miami. The conference will be held at the UM campus.

9 03, 2023

Non-Archimedean Uniformization and its Application, ICMS seminar talk by Jiachang Xu

2023-03-09T15:39:14+02:00March 9th, 2023|ICMS Seminar, News|

In this talk, I will first introduce the basic facts and ideas of non-archimedean uniformization and discuss some applications in mirror symmetry if time is permitted.

9 03, 2023

Plank Problems: Discrete Geometry and Convexity, ICMS Seminar Talk by Alexander Polyanskiy

2023-03-09T15:40:19+02:00March 9th, 2023|ICMS Seminar, News|

In my talk, I will overview progress in the area and its connection with other fields: theoretical computer science, number theory, and analysis. In particular, I will discuss a joint work with Zilin Jiang confirming Fejes Toth's long-standing zone conjecture and recent results with Alexey Glazyrin and Roman Karasev on a polynomial plank problem, a far-reaching generalization of Bang's theorem.

16 02, 2023

Variations of GIT-quotients of flag varieties, ICMS Seminar Talk by Valdemar Tsanov

2023-02-16T15:39:31+02:00February 16th, 2023|ICMS Seminar, News|

In this talk, partly based on joint work with H. Seppanen, I will present a description of the GIT-classes of L-ample line bundles on X and some properties of the respective GIT-quotients. Under mild assumptions, we prove the existence of a quotient whose Cox ring is, up to a finite extension, isomorphic to the ring of L-invariants in the Cox ring of X. This is indeed a special property, as such a quotient inherits, a priori, only information about the ample line bundle with respect to which it is defined.

27 01, 2023

Linear and Cyclic Codes over Rings – ICMS Seminar talk by Maryam Bajalan

2023-02-03T13:43:13+02:00January 27th, 2023|ICMS Seminar, News|

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.

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