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
The International Center for Mathematical Sciences – Sofia (ICMS-Sofia) is happy to announce that based on a strong selection process done by the Recruitment committee, the Advisory Board of ICMS-Sofia approved Prof. Ernesto Lupercio as a Chair of a new program Algebraic, Computational, and Topological Perspectives on Complexity
A complex measure $\mu$ on a $d$-dimensional Euclidean space is a crystalline measure (CM) if it is the temperate distribution, its distributional Fourier transform $\hat\mu$ is also a measure, and supports of $\mu$ and $\hat\mu$ are discrete (locally finite); $\mu$ is a Fourier quasicrystal (FQ) if, in addition, $|\mu|$ and $|\hat\mu|$ are also temperate distributions. For example, if $\mu_0$ is the sum of the unit masses at all points with integer coordinates, then by Poisson's formula $\hat\mu_0=\mu_0$. Hence, $\mu_0$ is FQ. We show a theorem of Lev-Olevskii on a sufficient condition for trivialization of FQ. Then we discuss a simple condition for CM to be FQ and present CM that is not FQ. We recall the notion of an almost periodic function, introduce the notions of almost periodic measures, distributions, sets, and show their connections with CM. In paricular, we get various uniqueness theorems for FQ. Finally, we show the description of FQ with unit masses as zeros of exponential polynomials due to Olevskii and Ulanovskii, and discuss some generalizations to zeros of Dirichlet series and to measures in a horizontal strip of finite width.
In the present talk, we will discuss the prospect of electrodynamics in quantifying the self-interaction of a non-composite charged particle. We will demonstrate that under the consideration of unique to the particle Yukawa cut-offs the radial singularity in corresponding electromagnetic field potentials’ is removed allowing the classical theory to admit exact solutions for the particle’s self-energy and anomalous g-factor.
In this talk, we demonstrate that essential self-adjointness can be restored by symmetrically weighting the momentum operator with a positive bounded function that approximates the indicator function of the given interval. This weighted momentum operator arises naturally from a similarly weighted classical momentum through the Weyl-Heisenberg covariant integral quantization of functions or distributions.
From December 16 to 19, 2024, we hosted an educational workshop on the Theory of Atoms. The goal of this workshop was to explain the foundations of the new theory of atoms, introduced recently by L. Katzarkov, M. Kontsevich, T. Pantev and T. Yu. The workshop attracted over 40 researchers from around the world, including Austria, Belgium, Brazil, Colombia, France, Germany, Hungary, India, Mexico, South Korea, Switzerland, and the USA, underscoring its global significance. The event marked the launch of a new 5-year program on the Theory of Atoms, supported by a grant from the Simons Foundation and funding from the Ministry of Education and Science of the Republic of Bulgaria.
The Fifth International Conference "Women in Mathematics in South-Eastern Europe" was officially opened, bringing together prominent mathematicians from a variety of fields. The event serves as a platform for fostering collaboration and highlighting the achievements of women in mathematics. The opening ceremony was graced by the presence of the President of the Bulgarian Academy of Sciences, Prof. Evelina Slavcheva. In her opening remarks, Prof. Slavcheva emphasized the essential role of women in advancing science, particularly in the field of mathematics.
The International Conference on Unexpected Phenomena in Energy Minimization and Polarization (UP24) concluded its highly anticipated sessions this week, drawing mathematicians from ten countries across the globe to share groundbreaking research and emerging trends in this important domain. Hosted at the prestigious Hyatt Regency Sofia Hotel, the conference spanned five days, from December 9th to 13th.
The International Center for Mathematical Sciences – Sofia (ICMS-Sofia) is happy to announce that based on a strong selection process done by the Recruitment committee, the Advisory Board of ICMS-Sofia approved Prof. Milen Yakimov as a Chair of a new program Quantum Groups and Cluster Algebras
The conference will explore the newest developments around classical qualitative and quantitative questions for rational, integral, Campana and related notions of points on schemes and stacks, together with new insights on rationality questions over non-closed fields.
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