Research Groups

19 09, 2025

Recent Developments on Tropical Sandpiles and Related Subjects, workshop

2025-09-24T07:59:25+03:00September 19th, 2025|Topological, Computational, and Algebraic Aspects of Complex Systems|

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.

16 09, 2025

Theory of Atoms via Examples, Minicourse

2025-10-10T01:52:28+03:00September 16th, 2025|Theory of Atoms|

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.

8 08, 2025

A Year of Collaboration and Discovery in the Theory of Atoms Group

2025-10-31T18:32:29+02:00August 8th, 2025|News, Theory of Atoms|

On August 7, 2025, the Conference Celebrating the Consortium IMSAC was officially opened at the Institute of Mathematics and Informatics (IMI–BAS) in Sofia. The event honors the long-standing collaboration among leading mathematical institutes across the USA, Latin America, Asia, and Europe, united in the Institute of the Mathematical Sciences of the Americas Consortium (IMSAC). At the opening, Prof. Julian Revalski, Director of the International Center for Mathematical Sciences – Sofia (ICMS-Sofia), greeted the participants and emphasized the importance of international cooperation in advancing contemporary mathematics. Prof. Peter Boyvalenkov, Director of IMI-BAS, welcomed the guests to the institute and wished them a fruitful and inspiring conference. The opening of the conference also sets the tone for a vibrant month of mathematical activity inBulgaria and coincides with an important milestone — the end of the first year of the activities of the research group Theory of Atoms, led by Prof. Ludmil Katzarkov.

16 07, 2025

Higher genus GW-invariants of Calabi-Yau 3-folds, ToA seminar talk by Y. Ruan

2025-07-16T15:10:00+03:00July 16th, 2025|Theory of Atoms|

Y. Ruan (IASM, Hangzhou-China)

Tuesday, July 22, room 403, IMI-BAS. 15:00

The computation of higher genus GW-invariants of Compact Calabi-Yau 3-fold is one of the most difficult problems in geometry and physics. During last decade, there has been tremendous progress on the problem. I will survey these progress in the talk.

14 07, 2025

Fundamentals on (G-equivariant) atoms, ToA seminar talk by Leonardo Cavenaghi

2025-07-16T12:39:08+03:00July 14th, 2025|Theory of Atoms|

Leonardo Cavenaghi (IMI-BAS/ICMS)

Tuesday, July 22, room 403, IMI-BAS. 14:00

In this talk, we introduce the concept of atoms recently introduced by Katzarkov-Kontsevich-Pantev-Yu. Built from Gromov-Witten theory, they have been proven to be useful in understanding questions in birational geometry by examining the behavior of quantum cohomology under blowup (this is a theorem of H. Iritani, following a conjecture of M. Kontsevich).

7 07, 2025

Inaugural Colloquium – Topological, Computational & Algebraic Aspects of Complex Systems

2025-07-08T09:39:28+03:00July 7th, 2025|News, Topological, Computational, and Algebraic Aspects of Complex Systems|

The research group “Topological, Computational & Algebraic Aspects of Complex Systems” launches its 2025 activity with a one-day colloquium at the International Center for Mathematical Sciences – Sofia (ICMS). Three talks will highlight recent advances in birational geometry, tropical sandpiles, and quantum toric geometry.

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