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X-WR-CALNAME:Institute of Mathematics and Informatics
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X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20240206T140000
DTEND;TZID=Europe/Sofia:20240206T153000
DTSTAMP:20260420T193721
CREATED:20240205T114758Z
LAST-MODIFIED:20240205T120046Z
UID:15908-1707228000-1707233400@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Дата: 06.02.2024 г.\, 14:00 ч. \nМясто: Зала 403\, ИМИ – БАН \nДокладчик: Paul Horja\, University of Miami\, USA \nДоклад: A categorical view of singularity theory I \nДопълнителна информация: https://icms.bg/a-categorical-view-of-singularity-theory-i-and-ii-talks-by-paul-horja/ \nРезюме. 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 L. Katzarkov about classical problems on discriminants and singularity theory.
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-19/
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:20240207T160000
DTEND;TZID=Europe/Sofia:20240207T173000
DTSTAMP:20260420T193721
CREATED:20240205T211554Z
LAST-MODIFIED:20240205T211820Z
UID:15925-1707321600-1707327000@math.bas.bg
SUMMARY:Семинар по геометрия на МЦМН
DESCRIPTION:Следващата сбирка на Семинара по геометрия на МЦМН\nще се проведе в сряда\, 7 февруари 2024 г. от 16:00 ч. в зала 403 и онлайн в Zoom: \nДоклад на тема \nIntroduction to curve counting\n\nще изнесе Михаил Школников\, ИМИ – БАН. \n\nZoom link:\n\nhttps://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09\n\nAbstract: 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 a different context; the number of points is just right for a problem to be well-stated — there are infinitely many circles passing through any two points and a collection of four points lying on a circle is special. A less trivial example\, which will be considered in detail\, is the question “How many rational cubic curves on the plane pass through a generic collection of eight points?”. “Rational” here means that a curve has a parametrization by rational functions\, and “cubic” refers to a curve defined as a zero locus of a degree three polynomial. The number of points is again chosen just right so that one may expect a non-trivial answer. In the case of real algebraic geometry\, the number of cubics may vary depending on the position of the eight generic points\, and a priori it is even not clear if such curves exist for all configurations. On the other hand\, if we state the same problem over complex numbers the answer becomes definite and independent of the position of the generic points. By an elegant\, yet quite elementary\, topological reasoning we will deduce that this answer is 12. Adapting the same argument in the real case\, we will see that real rational cubics should be counted with signs and the result of this new count becomes a definite -8\, proving in particular that for any generic configuration of eight points on the real plane\, there exist at least eight rational real cubics passing through them.
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bf%d0%be-%d0%b3%d0%b5%d0%be%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%8f-%d0%bd%d0%b0-%d0%bc%d1%86%d0%bc%d0%bd-8/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%98%D0%BD%D1%81%D1%82%D0%B8%D1%82%D1%83%D1%82%20%D0%BF%D0%BE%20%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%20%D0%B8%20%D0%B8%D0%BD%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%20-%20%D0%91%D0%90%D0%9D":MAILTO:office@math.bas.bg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20240208T140000
DTEND;TZID=Europe/Sofia:20240208T153000
DTSTAMP:20260420T193721
CREATED:20240205T115818Z
LAST-MODIFIED:20240205T120340Z
UID:15912-1707400800-1707406200@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Дата: 08.02.2024 г.\, 14:00 ч. \nМясто: Зала 403\, ИМИ – БАН \nДокладчик: Paul Horja\, University of Miami\, USA \nДоклад: A categorical view of singularity theory II \nДопълнителна информация: https://icms.bg/a-categorical-view-of-singularity-theory-i-and-ii-talks-by-paul-horja/ \nРезюме. 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 L. Katzarkov about classical problems on discriminants and singularity theory.
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-20/
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:20240213T140000
DTEND;TZID=Europe/Sofia:20240213T153000
DTSTAMP:20260420T193721
CREATED:20240209T094253Z
LAST-MODIFIED:20240209T094439Z
UID:15953-1707832800-1707838200@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Дата: 13.02.2024 г.\, 14:00 ч. \nМясто: Зала 403\, ИМИ – БАН \nДокладчик: Jean-Pierre Gazeau (APC\, Université Paris – Cité) \nДоклад: Quantum circuit complexity for light polarisation or complexity with no complex numbers \nДопълнителна информация: https://icms.bg/quantum-circuit-complexity-for-light-polarisation-or-complexity-with-no-complex-number-talk-by-jean-pierre-gazeau/ \nРезюме. 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 an upper limit for the cost function\, the optimal number of gates follows a power-law relationship.
URL:https://math.bas.bg/event/copy-%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/
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:20240214T160000
DTEND;TZID=Europe/Sofia:20240214T173000
DTSTAMP:20260420T193721
CREATED:20240212T133658Z
LAST-MODIFIED:20240212T133658Z
UID:15958-1707926400-1707931800@math.bas.bg
SUMMARY:Семинар по геометрия на МЦМН
DESCRIPTION:Следващата сбирка на Семинара по геометрия на МЦМН\nще се проведе в сряда\, 14 февруари 2024 г. от 16:00 ч. в зала 403 и онлайн в Zoom: \nДоклад на тема \nRefined curve counting\n\nще изнесе Михаил Школников\, ИМИ – БАН. \n\nZoom link:\n\nhttps://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09\n\nAbstract: 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.
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bf%d0%be-%d0%b3%d0%b5%d0%be%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%8f-%d0%bd%d0%b0-%d0%bc%d1%86%d0%bc%d0%bd-9/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%98%D0%BD%D1%81%D1%82%D0%B8%D1%82%D1%83%D1%82%20%D0%BF%D0%BE%20%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%20%D0%B8%20%D0%B8%D0%BD%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%20-%20%D0%91%D0%90%D0%9D":MAILTO:office@math.bas.bg
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20240228T160000
DTEND;TZID=Europe/Sofia:20240228T173000
DTSTAMP:20260420T193721
CREATED:20240222T091637Z
LAST-MODIFIED:20240222T091637Z
UID:15979-1709136000-1709141400@math.bas.bg
SUMMARY:Семинар по геометрия на МЦМН
DESCRIPTION:Следващата сбирка на Семинара по геометрия на МЦМН\nще се проведе в сряда\, 28 февруари 2024 г. от 16:00 ч. в зала 403 и онлайн в Zoom: \nДоклад на тема \nLinear embeddings of complex Grassmannians\n\nще изнесе Иван Пенков\, Constructor University Bremen. \n\nZoom link:\n\nhttps://us02web.zoom.us/j/83740034721?pwd=VnBtcVpGUktscHQ4a09jZkNZTURyZz09\n\nAbstract: 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 at the end of the talk.
URL:https://math.bas.bg/event/%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80-%d0%bf%d0%be-%d0%b3%d0%b5%d0%be%d0%bc%d0%b5%d1%82%d1%80%d0%b8%d1%8f-%d0%bd%d0%b0-%d0%bc%d1%86%d0%bc%d0%bd-10/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
ORGANIZER;CN="%D0%98%D0%BD%D1%81%D1%82%D0%B8%D1%82%D1%83%D1%82%20%D0%BF%D0%BE%20%D0%BC%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%20%D0%B8%20%D0%B8%D0%BD%D1%84%D0%BE%D1%80%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0%20-%20%D0%91%D0%90%D0%9D":MAILTO:office@math.bas.bg
END:VEVENT
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