Събития

Дата: 30.10.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Петър Далаков, ИМИ - БАН Курс: Introduction to Projective Structures and Opers Резюме: A complex projective structure on a Riemann surface is determined by an atlas, whose transition functions are Moebius (fractional-linear) transformations. There are multiple   descriptions of these structures: as certain flat PGL_2-bundles, as Sturm-Liouville operators, as holomorphic connections on the (first) jet bundle of the dual of a theta-characteristic, etc. This mini-course is an introduction to the fundamentals of projective structures, accessible to students and non-specialists. We will also explore links to some classical geometric objects (such as quadratic differentials and Schwarzian derivatives), as well as some generalisations (G-opers) introduced by Beilinson and Drinfeld. https://icms.bg/introduction-to-projective-structures-and-opers/    

Дата: 31.10.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Петър Далаков, ИМИ - БАН Курс: Introduction to Projective Structures and Opers Резюме: A complex projective structure on a Riemann surface is determined by an atlas, whose transition functions are Moebius (fractional-linear) transformations. There are multiple   descriptions of these structures: as certain flat PGL_2-bundles, as Sturm-Liouville operators, as holomorphic connections on the (first) jet bundle of the dual of a theta-characteristic, etc. This mini-course is an introduction to the fundamentals of projective structures, accessible to students and non-specialists. We will also explore links to some classical geometric objects (such as quadratic differentials and Schwarzian derivatives), as well as some generalisations (G-opers) introduced by Beilinson and Drinfeld. https://icms.bg/introduction-to-projective-structures-and-opers/    

На 31 октомври 2023 г. (вторник) от 16:00 часа в зала 578 на ИМИ-БАН ще се проведе заседание на семинара на секция „Математически основи на информатиката". Доклад ще изнесе д-р Константин Воробьов (ИМИ - БАН). Абстракт. In this work, we consider the problem of determining the exact value of A_2(n, {d, d+2}) defined as the maximal cardinality of a binary code of length n with two possible distances d and d+2. We prove that for fixed even d and n big enough, an optimal code must be a constant-weight code of weight d/2+1 with possibly no more than one additional codeword of a different weight. We also find exact values A_2(n, {4, 6}) and A_2(n, {6, 8}) starting from some n. This is a joint [...]

Дата: 02.11.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Петър Далаков, ИМИ - БАН Курс: Introduction to Projective Structures and Opers Резюме: A complex projective structure on a Riemann surface is determined by an atlas, whose transition functions are Moebius (fractional-linear) transformations. There are multiple   descriptions of these structures: as certain flat PGL_2-bundles, as Sturm-Liouville operators, as holomorphic connections on the (first) jet bundle of the dual of a theta-characteristic, etc. This mini-course is an introduction to the fundamentals of projective structures, accessible to students and non-specialists. We will also explore links to some classical geometric objects (such as quadratic differentials and Schwarzian derivatives), as well as some generalisations (G-opers) introduced by Beilinson and Drinfeld. https://icms.bg/introduction-to-projective-structures-and-opers/    

На 3 ноември 2023 г. (петък) от 13:00 часа ще се проведе дистанционно заседание на семинара по „Алгебра и логика”. Доклад на тема: A Reduction of Temporary Coalitions in Infinite Multiplayer Games ще изнесе Димитър Гелев. Абстракт. We propose a transformation of Concurrent Game Models which enables the reduction of infinite multiplayer games where players can form temporary coalitions to games with no coalitions by extending moves to include the negotiation steps that lead to the formation of coalitions. We adopt conditional promises as the building blocks of negotiation. Temporary coalitions and their agendas arise as the logical consequences of mutual promises. The transformation enables the use of established solution concepts about games with no coalitions for the analysis of games with temporary coalitions. [...]

Дата: 06.11.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Петър Далаков, ИМИ - БАН Курс: Introduction to Projective Structures and Opers Резюме: A complex projective structure on a Riemann surface is determined by an atlas, whose transition functions are Moebius (fractional-linear) transformations. There are multiple   descriptions of these structures: as certain flat PGL_2-bundles, as Sturm-Liouville operators, as holomorphic connections on the (first) jet bundle of the dual of a theta-characteristic, etc. This mini-course is an introduction to the fundamentals of projective structures, accessible to students and non-specialists. We will also explore links to some classical geometric objects (such as quadratic differentials and Schwarzian derivatives), as well as some generalisations (G-opers) introduced by Beilinson and Drinfeld. https://icms.bg/introduction-to-projective-structures-and-opers/    

Поредното заседание на Общия семинар на секция "Анализ, геометрия и топология" ще се проведе на 7 ноември 2023 г. от 14:00 часа в зала 478 на ИМИ - БАН. Доклад на тема: New and little known properties of the Fox and Fox-Wright functions ще изнесе Dmitrii Karp, Holon Institute of Technology, Holon, Israel. Поканват се всички интересуващи се. Резюме. In the talk, I will introduce the functions H of Fox and W of Wright (its general case known as Fox-Wright function) and some motivation behind them. Then, I will discuss the extension of Gauss' expansion and summation formulas for the hypergeometric function to the case of general Fox-Wright function and Norlund's expansion for the Meijer's G function to the case of Fox's H function. [...]

Поредната сбирка на Националния семинар по стохастика ще се проведе на 8 ноември 2023 г. (сряда) от 14:00 часа в зала 503 на ИМИ - БАН. Доклад на тема Hamiltonicity of randomly perturbed graphs ще изнесе Alberto Espuny Díaz (Postdoctoral researcher at Universität Heidelberg, Germany). Абстракт: In parallel to the development of smoothed analysis of algorithms, the study of randomly perturbed graphs has thrived in the combinatorics community. The setup is the following: one considers a dense graph $H$ which fails to satisfy some increasing property and then sprinkles edges randomly until the property appears. A main goal in the area is to understand how many random edges are needed, and which graphs $H$ are "worst" for this problem. In this talk I will survey [...]

Поредната сбирка на Националния семинар по стохастика ще се проведе на 15 ноември 2023 г. (сряда) от 14:00 часа в зала 503 на ИМИ - БАН. Доклад на тема Anti-concentration of Rademacher sums and Tomaszewski's counterpart problem ще изнесе Julien Portier, University of Cambridge. Абстракт  

Следващото заседание на семинара по геометрия на МЦМН ще се проведе на 8 ноември 2023 г., сряда, от 16:00 ч. в зала 403 и онлайн. Доклад на тема Tropicalizations II ще изнесе Михаил Школников, ИМИ - БАН. Абстракт: I will start by briefly recalling the two approaches to tropicalizing subvarieties of algebraic tori. We then transition to the compactified version, substituting the torus with a toric variety, and formalizing the concept of embedded tropical varieties together with a notion of their smoothness. Notably, not all such varieties can be realized as tropicalizations of classical varieties, and different embeddings of classical varieties yield combinatorially distinct tropicalizations, which we equate through so-called modifications. We will conclude by addressing the question of recovering information about classical varieties [...]

На 10 ноември 2023 г. (петък) от 13:00 часа ще се проведе хибридно заседание (присъствено в зала 578 на ИМИ-БАН и онлайн чрез платформата zoom) на семинара по „Алгебра и логика”. Доклад на тема: Transfinite version of the Mittag-Leffler condition for the vanishing of the derived limit ще изнесе Mishel Carelli (Technion – Israel Institute of Technology, Israel). Абстракт. We give a necessary and sufficient condition for an inverse sequence  S0 ← S1 ← . . . indexed by natural numbers to have lim¹S = 0. This condition can be treated as a transfinite version of the Mittag-Leffler condition. We consider inverse sequences in the category of abelian groups. We also show that the class of inverse sequences S such that lim S = lim¹S = [...]

На 10 ноември 2023 г. (вторник) от 14:00 часа в зала 478 на ИМИ-БАН ще се проведе заседание на семинара на секция „Математически основи на информатиката". Доклад на тема On induced C_4-free graphs with high average degree ще изнесе Антонио Жирао. Абстракт.  A long-standing conjecture of Thomassen from the 80's states that every graph with sufficiently high average degree contains a subgraph with high girth and still preserving large enough average degree. This conjecture has only been resolved in the early 2000's by Kühn and Osthus in the first non-trivial case i.e. they showed that for every k, there is f(k) such the every graph with average degree at least f(k) contains a subgraph which is C_4-free with average degree k. We will talk [...]

Дата: 14.11.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Валдемар Цанов, ИМИ - БАН Курс: Invariant theory, homogeneous projective varieties, and momentum maps Резюме: Let f:K\to U(V) be a unitary representation of a compact Lie group K with Lie algebra \mathfrak k. This series of talks will be devoted to some recent developments based on relations between the following three classical notions. The ring of K-invariant polynomials \mathbb C^K is finitely generated by homogeneous elements, by a theorem of Hilbert, but the proof is notoriously nonconstructive. The degrees of a minimal set of generators are canonically determined by f, and will be the focus of the discussion. The K-equivariant momentum map \mu:\mathbb P(V)\to \mathfrak k^* associated to the Fubini-Study form encodes [...]

How log-concavity fought lottery frauds in Florida and what it did after winning Докладчик: Дмитри Карп Дата: 14.11.2023 г. Час: 14:00 ч. Място: Зала 503 на ИМИ-БАН Резюме: In the talk I will first discuss the log-concavity in parameters of the normalized beta function (which represents the cumulative distribution function of beta distributed random variable) that has been used recently in an investigation of lottery frauds in Florida.  I will then present some related  properties of incomplete beta function and proceed to general log-concavity problems and their particular cases motivated by various problems in statistics, probability and analysis. Фейсбук страница на семинара: Семинар по Приложна математика

СЪЮЗ НА МАТЕМАТИЦИТЕ В БЪЛГАРИЯ ИНСТИТУТ ПО МАТЕМАТИКА И ИНФОРМАТИКА – БАН НАЦИОНАЛЕН КОЛОКВИУМ ПО МАТЕМАТИКА ​Поредната сбирка на Колоквиума ще се състои на 14 ноември 2023 г. (вторник)  от 16:15 часа в Заседателната зала на ИМИ - БАН. Доклад на тема: Arcs of High Divisibility and Their Applications to Coding Theory ще изнесе проф. дмн Иван Ланджев, Институт по матем​атика и информатика, Българска академия на науките. ​Резюме

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 15 ноември 2023 г. от 16:00 ч. в зала 403 и онлайн в Zoom: Topics in non-archimedean analytic geometry (I), by Jiachang Xu – International Center for Mathematical Sciences (ICMS – Sofia) Zoom link: https://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09

Дата: 16.11.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Валдемар Цанов, ИМИ - БАН Курс: Invariant theory, homogeneous projective varieties, and momentum maps Резюме: Let f:K\to U(V) be a unitary representation of a compact Lie group K with Lie algebra \mathfrak k. This series of talks will be devoted to some recent developments based on relations between the following three classical notions. The ring of K-invariant polynomials \mathbb C^K is finitely generated by homogeneous elements, by a theorem of Hilbert, but the proof is notoriously nonconstructive. The degrees of a minimal set of generators are canonically determined by f, and will be the focus of the discussion. The K-equivariant momentum map \mu:\mathbb P(V)\to \mathfrak k^* associated to the Fubini-Study form encodes [...]

На 17 ноември 2023 г. (петък) от 13:00 часа ще се проведе хибридно заседание (присъствено в зала 578 на ИМИ-БАН и онлайн чрез платформата zoom) на семинара по „Алгебра и логика”. Доклад на тема: Noncommutative invariants of dihedral groups ще изнесе Боян Костадинов, ИМИ - БАН. Абстракт. We consider the 2-generated free metabelian associative and Lie algebras over the complex field and the invariants of the dihedral groups of finite order acting on these algebras. In the associative case we find a finite set of generators of the algebra of invariants. In the Lie case, when the algebra of invariants is not finitely generated, we give a minimal system of generators of the invariants in the commutator ideal as a module of the algebra [...]

Поредната сбирка на семинара Дидактическо моделиране ще се проведе на 20.11.2023 г. от 14:30 ч. в зала 278 на ИМИ. Доклад на тема Точкуване на задачи и използване на скàли при стандартизирани оценявания ще изнесe проф. Кирил Банков.

Дата: 21.11.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Валдемар Цанов, ИМИ - БАН Курс: Invariant theory, homogeneous projective varieties, and momentum maps Резюме: Let f:K\to U(V) be a unitary representation of a compact Lie group K with Lie algebra \mathfrak k. This series of talks will be devoted to some recent developments based on relations between the following three classical notions. The ring of K-invariant polynomials \mathbb C^K is finitely generated by homogeneous elements, by a theorem of Hilbert, but the proof is notoriously nonconstructive. The degrees of a minimal set of generators are canonically determined by f, and will be the focus of the discussion. The K-equivariant momentum map \mu:\mathbb P(V)\to \mathfrak k^* associated to the Fubini-Study form encodes [...]

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 22 ноември 2023 г. от 16:00 ч. в зала 403 и онлайн в Zoom: Topics in non-archimedean analytic geometry (II) by Jiachang Xu – International Center for Mathematical Sciences (ICMS – Sofia) Zoom link: https://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09

Дата: 23.11.2023 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Валдемар Цанов, ИМИ - БАН Курс: Invariant theory, homogeneous projective varieties, and momentum maps Резюме: Let f:K\to U(V) be a unitary representation of a compact Lie group K with Lie algebra \mathfrak k. This series of talks will be devoted to some recent developments based on relations between the following three classical notions. The ring of K-invariant polynomials \mathbb C^K is finitely generated by homogeneous elements, by a theorem of Hilbert, but the proof is notoriously nonconstructive. The degrees of a minimal set of generators are canonically determined by f, and will be the focus of the discussion. The K-equivariant momentum map \mu:\mathbb P(V)\to \mathfrak k^* associated to the Fubini-Study form encodes [...]

На 24 ноември 2023 г. (петък) от 13:00 часа ще се проведе дистанционно заседание на семинара по „Алгебра и логика”, на който ще бъдат изнесени два доклада. От 13:00 ч. Димитринка Владева (ИМИ-БАН) ще изнесе доклад на тема Catalan numbers and additively idempotent semirings От 14:00 ч. Русанка Луканова (ИМИ-БАН) ще изнесе доклад на тема Semantics of Propositional Attitudes in Type-Theory of Algorithms   Заглавие: Catalan numbers and additively idempotent semirings Абстракт. The purpose of the present talk is to provide new applications of remarkable Catalan numbers. In Richard Stanley’s book Enumerative Combinatorics, Volume II (Cambridge University Press) there are many combinatorial objects that are counted by the Catalan numbers as well as applications in graph theory, Young diagrams, lattice theory, real matrices, real polynomials and so on. [...]

Семинарът на секция "Математическо моделиране и числен анализ" ще продължи своята работа. Дата: 28.11.2023 г., 14:00 ч. Място: Заседателната зала на ИМИ – БАН Тема: Приложение на математически и статистически модели и методи в областта на мониторинга на горите и земеделските земи с използване на данни от дистанционни изследвания Докладчици: Проф. д-р Лъчезар Филчев, гл. ас. д-р Десислава Ганева, гл. ас. д-р Илина Каменова и гл. ас. д-р Златомир Димитров от ИКИТ-БАН Резюме: Темата изследва как да се използват математически и статистически модели и методи за мониторинг на горите и земеделските земи с данни от  дистанционни изследвания. Тя цели да се подобри управлението на екосистемите  и хранителната сигурност чрез оценка на рисковете и възможностите, свързани с тези области. Тя има много приложения в областта на картографията, [...]

На 28 ноември (вторник), от 14 ч., в зала 578 на ИМИ-БАН, ще се проведе научен семинар на ВНЗ "Информационно моделиране". Доклад ще изнесе редовният докторант Светослав Хаджииванов на тема: Revolutionizing .NET with the Actor Model: The End of Traditional Encapsulation? Abstract: The actor model is revolutionizing the way we build applications by moving past the traditional idea of encapsulation in object-oriented programming. This model is perfect for today's computers with multiple CPU cores, where old-school methods fall short, leading to race conditions and other concurrency issues. In this seminar, we'll introduce you to the basics of this effective approach. Proto.Actor, our toolkit of choice, blends the strength of both new and time-tested practices, making it a solid fit for industries from banking to healthcare. [...]

На 1 декември 2023 г. (петък) от 13:00 часа ще се проведе хибридно заседание (присъствено в зала 578 на ИМИ-БАН и онлайн чрез платформата zoom) на семинара по „Алгебра и логика”. Доклад на тема: Characterization of Ideals of Q-algebras Related to its G-part ще изнесе доц. Йорг Копиц, ИМИ - БАН. Абстракт. In this presentation, we study the G-part of Q-algebras X, i.e. the set G(X)=\{x\in X:0x=x\}. We show that G(X) is an abelian group, whenever G(X) is an ideal and characterize all Q-algebras X such that G(X) is an ideal of X. Moreover, we show that, up to isomorphism, there is only one Q-algebra X with G(X)=X, which is only possible if |X|=2^{k} (k\in \mathbb{N}). Линк към Zoom-стаята на семинара: https://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09 От секция [...]