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X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART:20230326T010000
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DTSTART;TZID=Europe/Sofia:20231010T140000
DTEND;TZID=Europe/Sofia:20231010T153000
DTSTAMP:20260418T024753
CREATED:20231010T072649Z
LAST-MODIFIED:20231010T073059Z
UID:15105-1696946400-1696951800@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:На 10.10.2023 г. (вторник) от 14:00 часа в зала 403 на ИМИ\nще се състои първата сбирка на семинара на МЦМН за 2023/2024 г. \nДоклад на тема: \nAbout a generalisation of Sylvester’s law of inertia\nще изнесе Stéphanie Cupit-Foutou (Ruhr Universitat\, Bohum). \nhttps://icms.bg/about-a-generalisation-of-sylvesters-law-of-inertia-talk-by-stephanie-cupit-foutou/ \nРезюме. Sylvester’s law of inertia can be formulated in terms of group actions when considering real linear groups acting on real quadratic forms by base change. After reviewing this celebrated result from this perspective\, I will give a generalisation of it in the setting of so-called spherical varieties (a class of complex varieties including flag varieties\, toric varieties\, symmetric spaces\, etc.). This is a joint work with D. Timashev
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d0%bc%d1%86%d0%bc%d0%bd-3/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
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BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20231017T140000
DTEND;TZID=Europe/Sofia:20231017T153000
DTSTAMP:20260418T024753
CREATED:20231010T074351Z
LAST-MODIFIED:20231010T074351Z
UID:15108-1697551200-1697556600@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Дата: 17.10.2023 г.\, 14:00 ч. \nМясто: Зала 403\, ИМИ – БАН \nДокладчик: Михаил Школников\, ИМИ – БАН \nДоклад: Tropical structures in sandpile model \nРезюме: The sandpile model is a cellular automaton that can be defined on any graph. Though it has appeared independently in a variety of contexts\, it attracted tremendous attention from the wide scientific community when its instance on a large domain of the square lattice was put forward as the simplest rigorous example of self-organized criticality. Such phenomena\, real-life examples of which are earthquakes\, solar flares\, or neuronal avalanches\, could be vaguely described as being between order and chaos\, demonstrating power laws without being finely tuned\, and transcending the scale. Tropical geometry\, on the other hand\, is a field of pure mathematics often presented as a combinatorial version of algebraic geometry. I will tell how tropical curves arise in the scaling limit of the sandpile model in the vicinity of the maximal stable state and explain two major consequences inspired by this fact. The first one is that there is a continuous model for self-organized criticality\, the only known model of a kind\, defined in the realm of tropical geometry. The second is that the totality of recurrent states in the original sandpile model\, the sandpile group\, approximates a continuous group\, a tropical Abelian variety\, which is functorial with respect to inclusions of domains\, allowing to compute its scaling limit as a space of circle-valued harmonic functions on the whole lattice. \n\nTropical structures in sandpile model\, talk by Mikhail Shkolnikov\, IMI-BAS \n\n 
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d0%bc%d1%86%d0%bc%d0%bd-4/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20231030T140000
DTEND;TZID=Europe/Sofia:20231030T153000
DTSTAMP:20260418T024753
CREATED:20231010T080439Z
LAST-MODIFIED:20231010T080439Z
UID:15119-1698674400-1698679800@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Дата: 30.10.2023 г.\, 14:00 ч. \nМясто: Зала 403\, ИМИ – БАН \nДокладчик: Петър Далаков\, ИМИ – БАН \nКурс: Introduction to Projective Structures and Opers \nРезюме: 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. \n\nIntroduction to Projective Structures and Opers\, course by Peter Dalakov \n\n  \n 
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d0%bc%d1%86%d0%bc%d0%bd-6/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20231031T140000
DTEND;TZID=Europe/Sofia:20231031T153000
DTSTAMP:20260418T024753
CREATED:20231010T080721Z
LAST-MODIFIED:20231010T080721Z
UID:15124-1698760800-1698766200@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Дата: 31.10.2023 г.\, 14:00 ч. \nМясто: Зала 403\, ИМИ – БАН \nДокладчик: Петър Далаков\, ИМИ – БАН \nКурс: Introduction to Projective Structures and Opers \nРезюме: 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. \n\nIntroduction to Projective Structures and Opers\, course by Peter Dalakov \n\n  \n 
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bd%d0%b0-%d0%bc%d1%86%d0%bc%d0%bd-7/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
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