# 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.

# Next Event:

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

and

**Institute of the Mathematical Sciences of the Americas Consortium (IMSAC)**

**presents**

# Consortium Distinguished Lecture Series

## Don Zagier

### Ramanujan International Chair

International Centre for Theoretical Physics

**Abstract: **During the course of the last few years a number of startling connections between quantum invariants of knots and 3-manifolds and high-level number theory have emerged. Already the rigidity theorems of 3-dimensional hyperbolic topology, which have been known for many years, had a quite non-trivial arithmetic content, with the volume of every hyperbolic 3-manifold being linked via the dilogarithm to the so-called Bloch group and algebraic K-theory, and another connection comes from the Kashaev invariant, which is linked via his famous conjecture to the hyperbolic volume but also belongs to the so-called Habiro ring, which is a beautiful number-theoretical object that is not yet well known to number theorists. The more recent developments that I will describe concern even deeper links to algebraic number theory (construction of non-trivial units) and algebraic K-theory, to a generalization of the classical Habiro ring to Habiro rings associated to arbitrary algebraic number fields, and above all to surprising “quantum modularity” properties of the Kashaev invariant and its generalizations leading to a new type of object in the theory of modular forms. All of the work that will be reported on is joint with Stavros Garoufalidis, and some of it also with Rinat Kashaev and with Peter Scholze.

The lectures are intended for a general mathematical audience and do not require any prior knowledge of knot theory, K-theory, modular forms theory, or any other theory.

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

and the

**Institute of the Mathematical Sciences of the Americas Consortium (IMSAC)**

and the

**presents**

# Consortium Distinguished Lecture Series

**November 1-2, 2021, 5:00 pm (EEST, Sofia time)**

ICMS-Sofia, via Zoom

ICMS-Sofia, via Zoom

## Karim Adiprasito

### Department of Mathematical Sciences,

University of Copenhagen, Denmark

Lefschetz theorems beyond Hodge structures

**Abstract: **One of the key developments in combinatorics and algebra of recent years has been the discovery of Lefschetz principles beyond Hodge structures, resolving several long-standing conjectures. I will provide an overview over recent developments, and discuss joint work with Johanna Steinmeyer, Stavros Papadakis and Vasiliki Petrotou

**Abstract:**

# 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 Lectures 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

#### Homological Mirror Symmetry and Applications

ICMS invites you to attend the virtual conference Homological Mirror Symmetry and Applications, January 19 – 22, 2021. Jointly organized with the Institute of the Mathematical Sciences of the Americas at the University of Miami (IMSA)

#### Noncommutative Geometry Conference

In 2020 Alexander Efimov, a Research Fellow at the International Laboratory for Mirror Symmetry and Automorphic Forms (HSE University) and a Senior Researcher at the Algebraic Geometry Section of Steklov Mathematical Institute of RAS, has been awarded by the European Mathematical Society’s Prize.

#### Recent Applications of the Theory of O-Minimal Structures to Various Questions in Hodge Theory

The International Center for Mathematical Sciences – Sofia (ICMS-Sofia) invites you to attend the virtual conference **Recent Applications of the Theory of O-Minimal Structures to
Various Questions in Hodge Theory** - November 16 – 20, 2020

#### Irrational Fans in Physics and Mathematics

The International Center for Mathematical Sciences – Sofia (ICMS-Sofia) invites you to attend the virtual conference **Irrational Fans in Physics and Mathematics** - October 19 – 21, 2020