Дата: 06.02.2024 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Paul Horja, University of Miami, USA Доклад: A categorical view of singularity theory I Допълнителна информация: https://icms.bg/a-categorical-view-of-singularity-theory-i-and-ii-talks-by-paul-horja/ Резюме. The mirror symmetry phenomenon was discovered by string theorists more than thirty years ago as an equivalence of two physical theories associated with very different geometries. The categorical point of view on this remarkable conjecture was famously introduced by M. Kontsevich in his 1994 ICM talk. As it became clear over time, homological mirror symmetry provides new approaches to many topics in symplectic and algebraic geometry. In these two talks, I will present a brief overview of the conjecture as well as some results inspired by mirror symmetry and obtained in joint work with […]

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 7 февруари 2024 г. от 16:00 ч. в зала 403 и онлайн в Zoom: Доклад на тема Introduction to curve counting ще изнесе Михаил Школников, ИМИ - БАН. Zoom link: https://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09 Abstract: This talk is intended as a very gentle introduction to the classical subject of enumerative geometry concerned with problems of counting algebraic curves with prescribed properties. In the realm of classical planimetry, we know that there exists a single circle passing through a collection of three points, provided that these points are generic. Here “generic” simply means that the points are not collinear, i.e. don’t belong to the same line but could refer to some other open condition in […]

Дата: 08.02.2024 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Paul Horja, University of Miami, USA Доклад: A categorical view of singularity theory II Допълнителна информация: https://icms.bg/a-categorical-view-of-singularity-theory-i-and-ii-talks-by-paul-horja/ Резюме. The mirror symmetry phenomenon was discovered by string theorists more than thirty years ago as an equivalence of two physical theories associated with very different geometries. The categorical point of view on this remarkable conjecture was famously introduced by M. Kontsevich in his 1994 ICM talk. As it became clear over time, homological mirror symmetry provides new approaches to many topics in symplectic and algebraic geometry. In these two talks, I will present a brief overview of the conjecture as well as some results inspired by mirror symmetry and obtained in joint work with […]

На 8 февруари 2024 г. (четвъртък) от 15:00 часа в зала 256 на ИМИ-БАН ще се проведе заседание на семинара на секция „Математически основи на информатиката". Доклад на тема  Extremal problems in Euclidean combinatorial geometry ще изнесе доц. д-р Данила Черкашин Абстракт.  I will talk about several problems in the intersection of extremal combinatorics and Euclidean geometry. Recent results on the Steiner tree problem, Gilbert-Steiner problem, and Nelson-Hadwiger problem will be presented. Семинарът може да бъде проследен и на https://meet.jit.si/IMI-MOI-14400

Дата: 13.02.2024 г., 14:00 ч. Място: Зала 403, ИМИ - БАН Докладчик: Jean-Pierre Gazeau (APC, Université Paris - Cité) Доклад: Quantum circuit complexity for light polarisation or complexity with no complex numbers Допълнителна информация: https://icms.bg/quantum-circuit-complexity-for-light-polarisation-or-complexity-with-no-complex-number-talk-by-jean-pierre-gazeau/ Резюме. I will present a form of quantum circuit complexity that extends to open systems. To illustrate the methodology, I focus on a basic model where the Hilbert space of states is represented by the Euclidean plane. Specifically, the investigation is about the dynamics of mixed quantum states as they undergo interactions with a sequence of gates. The approach involves the analysis of sequences of density matrices. Each density matrix evolves within the framework of a Gorini-Kossakowski-Lindblad-Sudarshan (GKLS) process during the time interval between consecutive gates. Notably, when considering […]

Поредната сбирка на Националния семинар по стохастика ще се проведе на 14 февруари 2024 г. (сряда) от 14:00 часа в зала 503 на ИМИ - БАН. Доклад на тема Computable inference for generalised Wright-Fisher processes ще изнесе Nathan Judd (University of Warwick, UK). Абстракт.In this talk, we will introduce a class of -valued Markov processes with jumps that, as signals in hidden Markov models, admits a computable (exact) filter. By computable filter we mean that each filtering distribution, i.e., the law of the signal at a time t given the data up to time t, is explicitly and exactly available as a finite mixture of Dirichlet distributions. We exploit the tractability of the Wright-Fisher diffusion, in particular, its infinite-sum transition function and its dual process, […]

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 14 февруари 2024 г. от 16:00 ч. в зала 403 и онлайн в Zoom: Доклад на тема Refined curve counting ще изнесе Михаил Школников, ИМИ - БАН. Zoom link: https://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09 Abstract: Refining an enumerative problem upgrades the numerical solution to a polynomial so that its specialization gives the original number. A prototypical example of such refinement arises in the tropical curve counting from replacing Mikhalkin multiplicities, corresponding to counting complex curves, with Block-Goettsche multiplicities. I will speak about the invariance of this count and its various interpretations.

На 22 февруари (четвъртък), от 14 ч., в зала 503 на ИМИ-БАН, ще се проведе научен семинар на ВНЗ "Информационно моделиране". Доклад на тема: Интегриране на релационни данни и неструктурирани големи данни с подобен на SQL функционален език ще изнесе гл. ас. д-р Боян Колев. Резюме: Polystore systems have been proposed to provide integrated access to multiple, heterogeneous data stores through a single query engine. In particular, much attention is being paid on the integration of relational data with unstructured big data typically stored in HDFS. One typical legacy solution is to use a relational query engine that allows SQL-like queries to retrieve data from HDFS, which requires the system to provide a relational view of the unstructured data and hence is not always […]

На 23 февруари 2024 г. (петък) от 13:00 часа ще се проведе дистанционно заседание на семинара по „Алгебра и логика”. Доклад на тема: Invariant subalgebras of the rational Cherednik algebra ще изнесе Niall Hird (University of Glasgow, UK). Абстракт. The rational Cherednik algebra is a degeneration of the double affine Hecke algebra and an object of interest to many representation theorists, it also has strong connections to integrable systems. In my talk I will discuss two subalgebras that arise from considering the invariants of the action of reductive subgroups of the special linear group. In particular we will examine the centres of these invariant subalgebras and compare with the algebra of invariants of the centre of the entire rational Cherednik algebra under the same […]

Следващата сбирка на Семинара по геометрия на МЦМН ще се проведе в сряда, 28 февруари 2024 г. от 16:00 ч. в зала 403 и онлайн в Zoom: Доклад на тема Linear embeddings of complex Grassmannians ще изнесе Иван Пенков, Constructor University Bremen. Zoom link: https://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09 Abstract: A linear embedding of Grassmannians, one of which could possibly be isotropic, is an embedding which respects the generators of Picard groups. Several years ago A.S. Tikhomirov and I classified such embeddings when both Grassmannians are simultaneously usual Grassmannians or isotropic Grassmannians of the same type(orthogonal or symplectic). In this talk I will discuss also the mixed case. A classification as above has an application to the classification of infinite-dimensional linear ind-Grassmannians, and I shall  briefly explain this […]