International Conference “Singularities in Plovdiv”
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.
On Motivic and Arithmetic Donaldson-Thomas invariants, ICMS seminar talk by Felipe Espreafico Guelerman
Aiming to understand the relation to other "refined invariants", and especially their possible interpretation in quantum theory, we explain how to obtain a quadratic, A1-version of Donaldson-Thomas invariants from the motivic refinements first introduced in Kontsevich-Soibelman. Following ideas from Behrend, Bryan and Szendroi, we provide predictions for these invariants in a few simple examples, mainly the computation of DT invariants of A3. Our main goal is to draw relationships with the literature, including works of Levine, Denef and Loser, Azouri, Pepin-Lehaulleur, Srinivas among others. We begin with a brief introduction to A1-enumerative geometry and in the end, we pose some further questions on possible extensions of our definitions. This is joint work with Johannes Walcher. We also comment on joint work in progress with Ran Azouri.
Complex structures on Lie algebras and its application to the Hull-Strominger system, ICMS seminar talk by Luis Ugarte
In this talk we will explain the role that the Lie algebras play in the construction of 6-dimensional compact quotient spaces M=G/Γ, where Γ is a lattice, endowed with an invariant complex structure with holomorphically trivial canonical bundle.
Affine distance function, ICMS seminar talk by Mikhail Shkolnikov
Affine geometry is sometimes described as "what remains of Euclidean geometry when distances are forgotten". In this talk, I will report on a very recent discovery of an affine-invariant notion, which may be viewed as a distance from a point inside a convex domain to its boundary. This new concept stems from a suggestion of Conan Leung, who proposed to average the canonical tropical series, a fundamental notion of tropical optics, over the manifold of all tropical structures of fixed covolume on the given affine space. Very little of what we (Nikita Kalinin, Ernesto Lupercio and me) currently know, as well as necessary preliminaries, some observations and precise conjectures, will be covered during the talk, which mainly serves as an invitation to participate in developing this exciting new topic.
Academic Lecture by Prof. Yuri Tschinkel
On March 10, 2025, at 5 PM in the Prof. Marin Drinov Hall of the Bulgarian Academy of Sciences, Prof. Yuri Tschinkel will deliver an academic lecture on the occasion of his election as a foreign member of the Bulgarian Academy of Sciences. Prof. Tschinkel was elected a foreign member of the Bulgarian Academy of Sciences on November 25, 2024 upon the proposal of the Scientific Council of the Institute of Mathematics and Informatics. He is a world-renowned mathematician, creator of several new directions with a huge influence on the development of modern mathematics, with a remarkable results in rational points on algebraic varieties; stable irrationality; stabilization; symbol theory; G-irrationality.
New project “International Center for Mathematical Sciences – Sofia: Pursuing excellence” for the period 2024 – 2029
New project “International Center for Mathematical Sciences – Sofia: Pursuing excellence” for the period 2024 - 2029 funded by the Simons Foundation under Grant SFI-MPS-T-Institutes-00007697 and the Ministry of Education and Science of the Republic of Bulgaria, contract No. ДО1-239/10.12.2024