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So far tbranzov has created 57 blog entries.
26 05, 2022

Workshop: New mathematical methods in solvable models and gauge/string dualities

2022-10-04T15:39:32+03:00May 26th, 2022|Conferences, News|

This workshop will be devoted to discussing important and timely problems concerning the application of exact mathematical methods to conventional integrable systems and to the gauge/string models, e.g., to extend current methods for calculating finite-volume matrix elements of operators, to construct a finite version of the hexagon form factor expansion for short operators, to extend the methods of the thermodynamic Bethe Ansatz to world-sheets of higher topology and to all sorts of boundaries and defects, etc.

25 05, 2022

Ernesto Lupercio – Localization Methods for Orbifolds and Motivic Integration

2022-07-18T13:36:09+03:00May 25th, 2022|Consortium Distinguished Lecture Series, News|

ICMS-Sofia and IMSA-Miami present the next part of the Consortium Distinguished Lecture Series. Prof. Ernesto Lupersio (CINESTAV) will talk on Localization Methods for Orbifolds and Motivic Integration. The series will be on May 26-27, 2022, 19:00 (EEST, Sofia time), via Zoom.

19 05, 2022

Finiteness results for hyperkaehler manifolds – Ljudmila Kamenova

2022-06-21T11:20:05+03:00May 19th, 2022|Colloquium, News|

In this talk we are going to show that there are finitely many deformation types of hyperkaehler manifolds with fixed topological invariants such as the Fujiki constant and the discriminant of the BBF form. For hyperkaehler manifolds that admit a fibration structure it is enough to fix the degree of the polarization on the general fiber in order to obtain a finiteness result.

17 05, 2022

Prof. Yuri Tschinkel – Building Scientific Institutes

2022-05-19T12:08:24+03:00May 17th, 2022|News|

The Bulgarian Academy of Sciences, The Institute of Mathematics and Informatics and The International Center for Mathematical Sciences – Sofia organizes a lecture Building Scientific Institutes by Prof. Yuri Tschinkel, Courant Institute at New York University, USA. Prof. Tschinkel will share his experience with funding research through private business. The lecture will be held on June 13, 2022 (Monday), at 5:30 pm, at the Intercontinental Hotel Sofia, Ballroom Hall, 4 Narodno Sabranie Square.

9 05, 2022

Second Annual Meeting of Young Mathematicians

2022-06-28T11:50:17+03:00May 9th, 2022|Conferences|

The International Center for Mathematical Sciences – Sofia is organizing for a second consecutive year a meeting of young Bulgarian mathematicians from around the world. The conference will take place at the Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences (IMI-BAS) from June 13 to June 14. A special guest of the event is Prof. Yuri Tschinkel from Courant Institute, NYU and Simmons Foundation director for mathematical and physical sciences.

28 04, 2022

Coding Theory, Combinatorial Designs, and Finite Geometry

2022-05-09T12:32:42+03:00April 28th, 2022|Colloquium|

Error-correcting codes are used to protect data from random errors in satellite and wireless communication systems, audio and video recording devices, and data storage devices. A large class of codes with a wide range of applications are based on finite geometry. The most notable example of such codes are the Reed-Muller codes that are being used in deep space and mobile communications. The subject of this talk is a class of codes based on combinatorial designs. These combinatorial codes possess remarkable error-correction properties, admit efficient decoding, and present a viable alternative to a subclass of Reed-Muller codes.

18 04, 2022

Functional Inequalities and Improvements: Stability

2022-07-18T13:39:11+03:00April 18th, 2022|Consortium Distinguished Lecture Series|

Functional inequalities constitute a very useful toolbox in various fields of Mathematics, like analysis, spectral analysis, mathematical physical, theory of partial differential equations and differential geometry. For each of them, knowing the best constant in the inequality and as much as possible about the extremal, optimizing, functions is very important. In these presentations I will describe how this field has developed very strongly in the last decades and how now we dispose of a good set of strategies to address all the above issues for a large family of inequalities. Also a recent set of important results are devoted to the improved inequalities that can be written for non optimizers, topic which is denoted as “stability” for the inequalities. The methods that one can use and the different results that have been obtained will be discussed via the choice of a set of particular inequalities which enjoy interesting features or that are very useful in particular applications.

11 04, 2022

Introductory Toric Geometry

2022-07-18T13:47:04+03:00April 11th, 2022|ICMS Seminar|

This is the first part, consisting of four lectures, of a mini-course in which the combinatorial geometry related to toric varieties will be introduced. It will be developed to define and express properties of toric varieties and toric morphisms, and to investigate the geometry of the orbits by the torus action, in particular the orbit decomposition. Next, toric divisors, invertible and reflexive sheaves on toric variety, and their groups will be introduced and studied.

9 03, 2022

Higgs bundles on elliptic surfaces and logarithmic transformations, Kyoung-Seog Lee

2022-03-09T15:59:54+02:00March 9th, 2022|Joint ICMS & IMSA Seminar|

Logarithmic transformation is an important operation introduced by Kodaira in the 1960s. One can obtain an elliptic surface with multiple fibers by performing logarithmic transformations on an elliptic surface without multiple fibers. On the other hand, vector bundles on elliptic surfaces are important objects in many branches of mathematics, e.g., algebraic geometry, gauge theory, mathematical physics, etc. In this talk, I will discuss how certain Higgs bundles on elliptic surfaces are changed via logarithmic transformations. This talk is based on a joint work with Ludmil Katzarkov

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