Дата: 11.02.2025 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Sergey Favorov, Department of Pure Mathematics, Kharkov National University, Ukraine Доклад: Fourier quasicrystals and their generalizations, zeros of Dirichlet series, other almost periodic objects Допълнителна информация: https://icms.bg/fourier-quasicrystals-and-their-generalizations-zeros-of-dirichlet-series-other-almost-periodic-objects-icms-seminar-talk-by-sergey-favorov/ Резюме. 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 [...]

Дата: 04.02.2025 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Мирослав Георгиев, Институт по математика и информатика, Българска академия на науките Доклад: Yukawa regulators in electrodynamics: Exact approach to the self-energy and anomalous g-factor Допълнителна информация: https://icms.bg/yukawa-regulators-in-electrodynamics-exact-approach-to-the-self-energy-and-anomalous-g-factor-icms-seminar-talk-by-miroslav-georgiev/ Резюме. 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. Highly accurate results for the electron’s and muon’s anomalous g-factor will be presented, with calculated values matching the most recent measurements reported in the literature [...]

Дата: 14.01.2025 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Jean-Pierre Gazeau от Université Paris-Cité Доклад: Regularized Quantum Motion in a Bounded Set: Hilbertian Aspects Допълнителна информация: https://icms.bg/regularized-quantum-motion-in-a-bounded-set-hilbertian-aspects-talk-by-jean-pierre-gazeau/ Резюме. It is well known that the momentum operator canonically conjugated to the position operator for a particle confined within a bounded interval of the line (with Dirichlet boundary conditions) is not essentially self-adjoint, as it possesses a continuum of self-adjoint extensions. 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. Reference: [...]

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 4 ДЕКЕМВРИ 2024 г. от 16:00 ч. в зала 403 и онлайн в Zoom: Доклад на тема Tropical compactifications of moduli spaces - Part 2 ще изнесе Лайънъл Ланг, Международен център по математически науки (МЦМН - София). Abstract: In this talk I will describe various tropical compactifications of the moduli spaces of curves. I will discuss some motivations and applications coming from tropical geometry (joint with M. Melo, J. Rau and F. Viviani). Zoom link: https://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 27 ноември 2024 г. от 16:00 ч. в зала 403 и онлайн в Zoom: Доклад на тема Tropical compactifications of moduli spaces ще изнесе Лайънъл Ланг, Международен център по математически науки (МЦМН - София). Abstract: In this talk I will describe various tropical compactifications of the moduli spaces of curves. I will discuss some motivations and applications coming from tropical geometry (joint with M. Melo, J. Rau and F. Viviani). Zoom link: https://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09

Дата: 10.09.2024 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Боаз Моерман (Утрехтски университет) Доклад: Generalized integral points and strong approximation Допълнителна информация: https://icms.bg/generalized-integral-points-and-strong-approximation-talk-by-boaz-moerman/ Резюме. 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 \equiv a_i \mbox{ 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 \mathbb{Z} and the polynomials k[x] over a field k ). In this talk we will consider [...]