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.
The Geometry Seminar of the ICMS presents a talk by Lionel Lang (University of Gävle). On 04.12.2024, 16:00, Sofia time he will describe various tropical compactifications of the moduli spaces of curves. He will discuss some motivations and applications coming from tropical geometry (joint with M. Melo, J. Rau and F. Viviani).
The Geometry Seminar of the ICMS presents a talk by Lionel Lang (University of Gävle). On 27.11.2024, 16:00, Sofia time he will describe various tropical compactifications of the moduli spaces of curves. He will discuss some motivations and applications coming from tropical geometry (joint with M. Melo, J. Rau and F. Viviani).
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. Ludmil Katzarkov as a Chair of a new programme - Theory of Atoms.
A seminar talk by Boaz Moerman, Utrecht University
Abstract: The Chinese remainder theorem states that given coprime integers p_1, ..., p_n and integers a_1, ..., a_n, we can always find an integer m such that m ~ a_i mod p_i for all i. Similarly given distinct numbers x_1,..., x_n and y_1, ..., y_n we can find a polynomial f such that f(x_i)=y_i. These statements are two instances of strong approximation for the affine line (over the integers Z and the polynomials k[x] over a field k). In this talk we will consider when an analogue of this holds for special subsets of Z and k[x], such as squarefree integers or polynomials without simple roots, and different varieties. We give a precise description for which subsets this holds on a toric variety.
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