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BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20230210T130000
DTEND;TZID=Europe/Sofia:20230210T143000
DTSTAMP:20230207T091426Z
CREATED:20230207T091426Z
LAST-MODIFIED:20230207T091426Z
UID:13780-1676034000-1676039400@math.bas.bg
SUMMARY:Семинар "Алгебра и логика"
DESCRIPTION:На 10 февруари 2023 г. (петък) от 13:00 часа ще се проведе дистанционно заседание на семинара по „Алгебра и логика”. \nДоклад на тема: \nA New Approach to the Characteristic Polynomial of a Random Unitary Matrix\nще изнесе Yacine Barhoumi-Andréani (Ruhr-Universität Bochum\, Germany). \n\nАбстракт. The characteristic polynomial of a random (Haar-distributed) unitary matrix is considered as an interesting toy model for the probabilistic study of the Riemann Zeta function. We will recall the history of the topic starting with the Montgommery-Dyson correspondance\, the Keating-Snaith moments conjecture and some recent developments on other functionals. We will then give a conceptual comparison of some of the techniques used in the field and a zoo of results one can achieve\, with a particular focus on a recent technique that allows to rederive all the results in a unified way using symmetric function theory and local Central Limit Theorems. \n  \n\n\nСеминарът ще се проведе посредством платформата Zoom и всеки желаещ може да се присъедини като последва линка: \nhttps://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09 \nTopic: Онлайн семинар на секция “Алгебра и логика”\nTime: Feb 10\, 2023 01:00 PM Sofia\nMeeting ID: 851 3737 5021\nPasscode: 035647 \n\n\nОт секция „Алгебра и логика” на ИМИ – БАН\nhttp://www.math.bas.bg/algebra/seminarAiL/\n============================== =====================
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%b0%d0%bb%d0%b3%d0%b5%d0%b1%d1%80%d0%b0-%d0%b8-%d0%bb%d0%be%d0%b3%d0%b8%d0%ba%d0%b0-95/
LOCATION:Zoom
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F %D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0 %D0%B8 %D0%BB%D0%BE%D0%B3%D0%B8%D0%BA%D0%B0":MAILTO:algebra_logic_seminar@math.bas.bg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20230217T130000
DTEND;TZID=Europe/Sofia:20230217T143000
DTSTAMP:20230214T123832Z
CREATED:20230214T123832Z
LAST-MODIFIED:20230214T123832Z
UID:13877-1676638800-1676644200@math.bas.bg
SUMMARY:Семинар "Алгебра и логика"
DESCRIPTION:На 17 февруари 2023 г. (петък) от 13:00 часа ще се проведе дистанционно заседание на семинара по „Алгебра и логика”. \nДоклад на тема: \nInvariant theory for reductive subgroups of reductive groups\nще изнесе Валдемар Цанов (ИМИ-БАН). \n\nАбстракт. Let H ⸦ G be an embedding of connected complex reductive linear algebraic groups. A classical question with several important interpretations is: which irreducible G-modules contain nonzero H-invariant vectors? An approach based on the Geometric Invariant Theory of Hilbert-Mumford was developed in works of Heckman\, Berenstein-Sjamaar\, Belkale-Kumar and Ressayre\, culminating in a description of the generalized Littlewood-Richadson cone – the convex hull of set of the highest weights of the G-modules containing H-invariants. The discrepancy between the convex hull and the actual set of weights presents the so-called saturation problem\, famously solved by Knutson and Tao for diagonal embeddings of GL_n\, and widely open in general. Ressayre’s description of the cone demands extensive calculations even in relatively tame cases\, which makes applications difficult. Further development of the structure theory seems desirable.\nIn this talk\, based on joint works with Seppänen and Staneva\, I will present some structural properties of generalized Littlewood-Richardson cones\, allowing to partition the subgroups of a given G into types according to the properties of the cones. We derive a new numerical invariant of reductive groups\, and use it to show that for “generic” subgroups the cone fills the entire Weyl chamber of G. This greatly reduces the difficulty of the saturation problem and allows it to be solved for some new cases\, e.g. SL_2-subgroups of classical groups. \n  \n\n\nСеминарът ще се проведе посредством платформата Zoom и всеки желаещ може да се присъедини като последва линка: \nhttps://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09 \nTopic: Онлайн семинар на секция “Алгебра и логика”\nTime: Feb 17\, 2023 01:00 PM Sofia\nMeeting ID: 851 3737 5021\nPasscode: 035647 \n\n\nОт секция „Алгебра и логика” на ИМИ – БАН\nhttp://www.math.bas.bg/algebra/seminarAiL/\n============================== =====================
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%b0%d0%bb%d0%b3%d0%b5%d0%b1%d1%80%d0%b0-%d0%b8-%d0%bb%d0%be%d0%b3%d0%b8%d0%ba%d0%b0-96/
LOCATION:Zoom
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F %D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0 %D0%B8 %D0%BB%D0%BE%D0%B3%D0%B8%D0%BA%D0%B0":MAILTO:algebra_logic_seminar@math.bas.bg
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BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20230224T130000
DTEND;TZID=Europe/Sofia:20230224T143000
DTSTAMP:20230220T100158Z
CREATED:20230220T100158Z
LAST-MODIFIED:20230220T100158Z
UID:13930-1677243600-1677249000@math.bas.bg
SUMMARY:Семинар "Алгебра и логика"
DESCRIPTION:На 24 февруари 2023 г. (петък) от 13:00 часа ще се проведе дистанционно заседание на семинара по „Алгебра и логика”. \nДоклад на тема: \nReal Hamiltonian forms of affine Toda field theories: spectral aspects\nще изнесе Владимир Герджиков (съвместна работа с Г. Г. Граховски и А. А. Стефанов). \n\nАбстракт. \nThe talk is devoted to real Hamiltonian forms of 2-dimensional Toda field theories related to exceptional simple Lie algebras\, and to the spectral theory of the associated Lax operators. Real Hamiltonian forms are a special type of reductions of Hamiltonian systems\, similar to real forms of semisimple Lie algebras. The real Hamiltonian forms of affine Toda field theories related to exceptional complex untwisted affine Kac – Moody algebras are studied. Along with the associated Lax representations\, we also formulate the relevant Riemann – Hilbert problems and derive the minimal sets of scattering data that uniquely determine the scattering matrices and the potentials of the Lax operators. \nReferences\n[1] V. S. Gerdjikov\, G. G. Grahovski\, A. A. Stefanov. Real Hamiltonian forms of affine Toda field theories: spectral aspects. Theoretical and Mathematical Physics\, 212(2): 1053-1072 (2022); arXiv:2205.03844v1 [nlin.SI] \n  \n\n\nСеминарът ще се проведе посредством платформата Zoom и всеки желаещ може да се присъедини като последва линка: \nhttps://us02web.zoom.us/j/85137375021?pwd=RE5QczdFTE1xL1R6MnI2b1lkcGczQT09 \nTopic: Онлайн семинар на секция “Алгебра и логика”\nTime: Feb 24\, 2023 01:00 PM Sofia\nMeeting ID: 851 3737 5021\nPasscode: 035647 \n\n\nОт секция „Алгебра и логика” на ИМИ – БАН\nhttp://www.math.bas.bg/algebra/seminarAiL/\n============================== =====================
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%b0%d0%bb%d0%b3%d0%b5%d0%b1%d1%80%d0%b0-%d0%b8-%d0%bb%d0%be%d0%b3%d0%b8%d0%ba%d0%b0-97/
LOCATION:Zoom
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%A1%D0%B5%D0%BA%D1%86%D0%B8%D1%8F %D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0 %D0%B8 %D0%BB%D0%BE%D0%B3%D0%B8%D0%BA%D0%B0":MAILTO:algebra_logic_seminar@math.bas.bg
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