Theory of Atoms, ICMS Research Group Seminar 05.09.2025
Friday, September 5, room 358, IMI-BAS. 14:00
The research group “Theory of Atoms” will give two talks that will highlight recent advances.
1
09, 2025
8
08, 2025
A Year of Collaboration and Discovery in the Theory of Atoms Group
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.
8
08, 2025
Friezes, Geometry seminar talk by Andrei Zabolotskii
Friezes, originally introduced by Coxeter, are simple objects which however turned out to be connected with surprisingly many seemingly unrelated concepts from a variety of subjects. These include combinatorics (polygon dissections), number theory (continued fractions), geometry (the Farey graph), and algebra (cluster algebras -- a hot topic of their own). I will survey these connections using interactive visualisations, introduce the family of basic examples of cluster algebras, and present a new connection between not-necessarily-positive friezes and cluster algebras.
6
08, 2025
The International Conference Celebrating the Consortium IMSAC brings together mathematicians from four continents
From August 7 to 9, 2025, the Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences (IMI–BAS) will host the International Conference Celebrating the Consortium IMSAC - an event that brings together distinguished mathematicians from around the world. The conference is jointly organized by the International Center for Mathematical Sciences – Sofia (ICMS-Sofia) at IMI–BAS and the Institute for the Mathematical Sciences of the Americas (IMSA) at the University of Miami. The Celebrating the Consortium IMSAC conference will take place in Hall 403 at the Institute of Mathematics and Informatics in Sofia. The programme starts with a talk by the Fields Medalist Caucher Birkar. Over the course of three days, leading researchers from the IMSAC network will present their latest results, discuss joint projects, and explore new directions in mathematics and its applications.
24
07, 2025
Hodge-Riemann balanced structures on non-Kähler manifolds, ICMS and AGT seminar talk by Asia Mainenti
Asia Mainenti, IMI and ICMS
Tuesday, July 29, room 403, IMI-BAS. 13:00
16
07, 2025
Higher genus GW-invariants of Calabi-Yau 3-folds, ToA seminar talk by Y. Ruan
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.
16
07, 2025
Special metrics in hypercomplex geometry, ICMS seminar talk by Elia Fusi
Elia Fusi, University of Torino
Tuesday, July 22, room 403, IMI-BAS. 13:00
14
07, 2025
Fundamentals on (G-equivariant) atoms, ToA seminar talk by Leonardo Cavenaghi
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).
8
07, 2025
Workshop in Algebraic Geometry and Physics 2025: “Geometry and Physics of Higgs moduli”
The goal of the conference is to bring together world-renowned and early-career researchers working in the field of algebraic geometry, low-dimensional topology, complex geometry and commutative algebra and foster discussions around singularities in topology, metric geometry, algebraic geometry, dynamical systems and mirror symmetry. The meeting also seeks to provide an opportunity for young scholars from Eastern Europe to engage with cutting edge research in the area.
8
07, 2025
Weak Metric Structures on Generalized Riemannian Manifolds, ICMS seminar talk by Milan Zlatanovic
Milan Zlatanovic, University of Niš, Serbia
Tuesday, July 15, room 403, IMI-BAS. 13:00
