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In this series of talks, we will explore how the field of self-organized criticality is useful to inform the structure of artificial models of life. This is joint work with Kalinin, Tabares and Shkolnikov, and with Cruz, Muñoz and Viafara.
Ernesto Lupercio - Self-organized Criticality and Artificial Life
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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.
Prof. Yuri Tschinkel - Building Scientific Institutes
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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.
Second Annual Meeting of Young Mathematicians
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These lectures will present a board survey of recent work on new q-series invariants of 3-manifolds labeled by Spin-C structures. While the original motivation for studying these invariants is rooted in topology, they exhibit a number of unexpected properties and connections to other areas of mathematics, e.g. turn out to be characters of logarithmic vertex algebras. The integer coefficients of these q-series invariants can be understood as the answer to a certain enumerative problem, and when q tends to special values these invariants relate to other invariants of 3-manifolds labeled by Spin and Spin-C structures.
From Turaev to Rokhlin via VOA Characters and Curve Counting, by Sergey Gukov

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 the Presidency of the Bulgarian Academy of Sciences.

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

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.

On focus:

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

presents

ICMS Seminar

13.02.2024, 14:00 Sofia time,

ICMS-Sofia, Room 403

Quantum circuit complexity for light polarisation or complexity with no complex numbers…

Jean-Pierre Gazeau
APC, Université Paris-Cité

Abstract: I will present a form of quantum circuit complexity that extends to open systems. To illustrate the methodology, I  focus on a basic model where the Hilbert space of states is represented by the Euclidean plane. Specifically, the  investigation is about the dynamics of mixed quantum states as they undergo interactions with a sequence of gates. The approach involves the analysis of sequences of density matrices. Each density matrix evolves within the framework of a Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) process during the time interval between consecutive gates. Notably, when considering an upper limit for the cost function, the optimal number of gates follows a power-law relationship.

Events and activities

Annual conference

Women in Mathematics in South-Eastern Europe

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.

Annual conference

The Annual Meeting of Young Bulgarian Mathematicians

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.

The 2023 Summer issue of our quarterly newsletter is here!

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News and Announcements

Quantum circuit complexity for light polarisation or complexity with no complex number, talk by Jean-Pierre Gazeau

February 8th, 2024|

I will present a form of quantum circuit complexity that extends to open systems. To illustrate the methodology, I  focus on a basic model where the Hilbert space of states is represented by the Euclidean plane. Specifically, the  investigation is about the dynamics of mixed quantum states as they undergo interactions with a sequence of gates.

A categorical view of singularity theory I and II, talks by Paul Horja

February 2nd, 2024|

The mirror symmetry phenomenon was discovered by string theorists more than thirty years ago as an equivalence of two physical theories associated with very different geometries. The categorical point of view on this remarkable conjecture was famously introduced by M. Kontsevich in his 1994 ICM talk. As it became clear over time, homological mirror symmetry provides new approaches to many topics in symplectic and algebraic geometry. In these two talks, I will present a brief overview of the conjecture as well as some results inspired by mirror symmetry and obtained in joint work with L. Katzarkov about classical problems on discriminants and singularity theory.

Nilpotent algebras, groups and beyond, talk by Yuri Bahturin

January 10th, 2024|

We study various correspondences between finite-dimensional nilpotent algebras and (quasi)groups similar to those given by the circle product in the case of associative algebras or by the Baker-Campbell-Hausdorff formulas in the case of Lie algebras or their generalizations. In the particular case of Malcev's correspondence, we obtain some new results about groups using Lie algebras and vice versa.

Our esteemed collaborators

Carlos Simpson
Alexander Efimov
Victor Przyjalkowski
Yu-We Fan
Ivan Cheltsov
Maxim Kontsevich
Artan Sheshmani
Ernesto Lupercio
Tony Yue YU