November 4, 2025, 3:00 PM, Room 403, IMI-BAS and online via Zoom..
Seminar by Prof. Ludmil Katzarkov on Recent Advancements in the Theory of Atoms.
Leonardo Cavenaghi, IMI-BAS
Tuesday, November 4, room 403, IMI-BAS. 13:00
Linear systems on complex algebraic curves have been an interesting and rich area of study for a long time. It is known that a real structure on the initial curve induces a real structure on the varieties parameterizing these linear systems. In this talk, I will first present the classical Brill-Noether theorems for these varieties, and then address some fundamental topological questions in the real setting including the case of real trigonal curves.
This course examines the intersection of Abelian Sandpile Theory and Tropical Geometry—two frameworks revealing how discrete local rules generate global geometric order. Offered by the Topological and Geometric Complexity Group at ICMS Sofia, the course welcomes doctoral students and researchers interested in the geometric foundations of complex systems.
The Symposium on Complex Systems, Data, and Topology is a four-day gathering exploring the frontiers of mathematics, machine learning, geometry, and real-world complexity. Set within the vibrant intellectual atmosphere of ICMS Sofia, the symposium brings together a select group of international researchers to discuss new ideas, paradigms, and tools shaping the future of science and computation.
Christelle Kozaily, IMI-BAS
Monday, October 13, room 403, IMI-BAS. 14:00
The International Center for Mathematical Sciences – Sofia (ICMS-Sofia) hosts an international conference on Quantum Groups and Cluster Algebras between 15-19 December 2025 at the Institute of Mathematics and Informatics, Bulgarian Academy of Sciences, with the financial support of the Simons Foundation, Republic of Bulgaria - Ministry of Education and Science and Institute of Mathematics and Informatics, and Bulgarian Academy of Sciences. The aim of this conference is to bring together researchers to share recent advances and promote further developments in the theory of Quantum Groups and Cluster Algebras.
Miroslav Maksimović, University of Priština in Kosovska Mitrovica, Kosovska Mitrovica, Serbia, and IMI-BAS
Tuesday, September 30-th, 11:00, room 403, IMI-BAS.
Tropical sandpiles stand at the crossroads of mathematics, computer science, machine learning, algebra, physics, and mathematical logic. Originating from models of self-organized criticality, they reveal intricate combinatorial and geometric structures that echo through algebraic geometry and tropical mathematics. Their dynamics connect to complexity theory and algorithmic design in computer science, while also inspiring methods in statistical mechanics and the study of complex systems in physics. More recently, tropical sandpile models have begun to interact with approaches in data science and machine learning. At the same time, their formal underpinnings invite connections to logic and the foundations of computation — providing a common language where diverse disciplines converge.
September - October 2025
The research group “Theory of Atoms”'s Leonardo Kavenaghi will give series of lectures
The Theory of Atoms is a recent formalism introduced by Katzarkov, Kontsevich, Pantev, and Yu, which aims to integrate classical Hodge theory with symplectic geometry, seeking applications in birational geometry.
To properly understand it, we must gather concepts from many areas of knowledge, ranging from Gromov-Witten theory and enumerative algebraic geometry to classical and noncommutative Hodge theory. This series is designed to be an example-driven introduction, providing the essential background needed to understand this new theory.
International Center for Mathematical Sciences
Institute of Mathematics and Informatics
Bulgarian Academy of Sciences
Acad. G. Bonchev St. bl.8
1113 Sofia, Bulgaria
Tel. +359 2 9793822
icms-office@math.bas.bg
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