# About us

The newly established **International Center for Mathematical Sciences – Sofia** is a dynamic research unit for developing and dissemination of cutting edge new directions in Mathematics. It is affiliated with the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences which is providing the infrastructure for the activities of the Center. The Center is supported by the Ministry of Education and Science of the Republic of Bulgaria. The Activities of the ICMS – Sofia are carried out in collaboration with the Institute of the Mathematical Sciences of the Americas at the University of Miami (IMSA) and Higher School of Economics, National Research University, Moscow (HSE University). The ICMS-Sofia is also working in collaboration with Bulgarian universities and institutes of the Bulgarian Academy of Sciences.

The Center was created following inspirational discussions with many members of the mathematical community in Bulgaria and the Bulgarian mathematical diaspora. In July 2019, ICMS-Sofia initiated its full-scale presence on the European mathematical scene with the full support of Acad. Julian Revalski, President of the Bulgarian Academy of Sciences.

The first director of ICMS-Sofia was Acad. Blagovest Sendov.

# Our next event:

## Third International Conference

Women in Mathematics in

South-Eastern Europe

## December 8 – 9, 2022,

Sofia, Bulgaria

## organized by

**International Center for Mathematical Sciences – Sofia (ICMS-Sofia), **

Union of Bulgarian Mathematicians (UBM) and the

**Institute of the Mathematical Sciences of the Americas at the University of Miami (IMSA)**

**The International Center for Mathematical Sciences – Sofia (ICMS-Sofia)**, affiliated with the Institute of Mathematics and Informatics of the Bulgarian Academy of Sciences, is a dynamic research unit for developing and dissemination of cutting edge new directions in Mathematics. It is created with the mission to disseminate advances in the research in Mathematics and its applications to the mathematical and scientific communities in South-Eastern Europe; to connect Bulgarian Mathematics with leading mathematical institutions and increase the level of Bulgarian science and education. Part of the activities of the Center is related to supporting the reintegration and the career development of promising young Bulgarian mathematicians.

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.

The speakers are proposed by an international committee including Mina Teicher (Department of Mathematics and Gonda Brain Research Center, Director of Emmy Noether Institute for Mathematics), Phillip Griffiths (Professor Emeritus, Institute for Advanced Study, USA), Ludmil Katzarkov (Miami University, Co-director of the Institute of Mathematical Sciences of the Americas), Velichka Milousheva (Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, Deputy Director).

## Distinguished Invited Speakers

## Anna Maria Fino

### University of Torino, Italy

## Sofia Lambropoulou

### School of Applied Mathematical and Physical Sciences, National Technical University of Athens, Greece

# Simons Foundation

Grant 2022-2025

The Simons Foundation International, Ltd., (SFI) is funding a project of the International Center for Mathematical Sciences for the period 2022 – 2025.

The grant is aimed at supporting displaced scientists from Ukraine and other countries, organizing international scientific events with the participation of world-renowned and established mathematicians, and opening new research positions for young scientists.

# Events and activities

The mission of the initiative * Women in Mathematics in South-Eastern Europe *is to promote the role of female mathematicians.

The mission will be achieved through series of annual conferences with the main goal 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.

The inaugural conference of the initiative Women in Mathematics in South-Eastern Europe took place in Dec 2020. A special distinguished guest of the inaugural conference was **prof. Mina Teicher** from the Department of Mathematics and Gonda Brain Research Center, Bar-Ilan University, Israel. Prof Teicher is also Director of Emmy Noether Institute for Mathematics.

This meeting has as its main objective bringing together young Bulgarian mathematicians working all over the world.

We envision two main outcomes:

- enriching relations between young mathematicians working in Bulgaria and the Bulgarian mathematical diaspora;
- enhancing the professional development of young Bulgarian mathematicians by presenting new opportunities using the national and European scientific programmes.

The inaugural event of the series was held May 19-20 2021 and commemorated the brightest Bulgarian holiday the Day of Bulgarian Enlightenment and Culture and the Slavоnic Alphabet May 24.

## Selected Activities 2020-2021

## Sendov’s conjecture for sufficiently high degree polynomials

by Terrence Tao, University of California, Los Angeles (UCLA) |

January 26, 2021

Colloquium talk in memory of Acad. Blagovest Sendov by Terence Tao, University of California, Los Angeles (UCLA.) Winner of the Fields Medal 2006, the Breakthrough Prize in Mathematics 2014, the Crafoord Prize 2012.

## ICMS-IMSA Working Seminar

by Rene Mboro, Rodolfo Aguilar, ICMS-Sofia and IMSA |

August 20, 2021

Prof Rene Mboro gave a talk *On determinantal cubic hypersurfaces (after Iliev-Manivel, Beauville,…)* Prof Rodolfo Aguilar gave a talk on* Quantum representations of fundamental groups of curves with infinite image. *

# News and Announcements

#### Conference on Geometry and Physics

The goal of this conference to consolidate and disseminate new developments in Geometry and Physics. The list of participants includes: Maxim Kontsevich, Institut des Hautes Études Scientifiques, France, Phillip Griffiths, Institute for Advanced Study, Karim Adiprasito, University of Copenhagen, Denmark, Vivek Shende, Centre for Quantum Mathematics, Syddansk Universitet, Denmark, Jørgen Ellegaard Andersen, University of Southern Denmark, Denmark, Oscar García-Prada, Instituto de Ciencias Matemáticas (ICMAT), Spain, Kenji Fukaya, Simons Center for Geometry and Physics at Stony Brook, USA, Mina Teicher, Bar-Ilan University, Israel, Robert Stephen Cantrell, University of Miami, USA, Yong-Geon Oh, IBS Center for Geometry and Physics, Korea, Ernesto Lupercio, Cinvestav-IPN, México, Tony Pantev, University of Pennsylvania, USA, Ludmil Katzarkov, University of Miami, USA and Institute of Mathematics and Informatics, Bulgaria, Meral Tosun, Galatasaray University, Turkey.

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

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.

#### Ernesto Lupercio – Localization Methods for Orbifolds and Motivic Integration

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.

#### Finiteness results for hyperkaehler manifolds – Ljudmila Kamenova

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.