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So far tbranzov has created 46 blog entries.
25 05, 2022

Ernesto Lupercio – Localization Methods for Orbifolds and Motivic Integration

2022-05-25T18:48:48+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

2022-05-19T12:01:24+03:00May 19th, 2022|Colloquium|

 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. 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.

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

2022-05-17T11:46:31+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.

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

17 02, 2022

Birational geometry of sextic double solids with a compound A_n singularity

2022-02-18T09:14:03+02:00February 17th, 2022|Joint ICMS & IMSA Seminar|

Sextic double solids, double covers of ℙ^3 branched along a sextic surface, are the lowest degree Gorenstein Fano 3-folds, hence are expected to behave very rigidly in terms of birational geometry. Smooth sextic double solids, and those which are ℚ-factorial with ordinary double points, are known to be birationally rigid. In this talk, we discuss birational geometry of sextic double solids with an isolated compound A_n singularity. I have shown that n is at most 8, and that rigidity fails for n > 3.

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