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X-WR-CALNAME:Institute of Mathematics and Informatics
X-ORIGINAL-URL:https://math.bas.bg
X-WR-CALDESC:Събития за Institute of Mathematics and Informatics
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DTSTART:20260329T010000
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BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20260310T130000
DTEND;TZID=Europe/Sofia:20260310T143000
DTSTAMP:20260530T105744
CREATED:20260308T223413Z
LAST-MODIFIED:20260308T223413Z
UID:18961-1773147600-1773153000@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Two lectures by Milen Yakimov\,\nchair of the group on Cluster Algebras and Quantum Groups at the ICMS\, IMI-BAS.\n\nTuesday\, March 10\, at 13:00 in room 403\, IMI-BAS.\nCluster structures on quantum groups and the full Berenstein-Zelevinsky conjecture\n\nTuesday\, March 17\, at 13:00 in room 403\, IMI-BAS.\nReflective centres of module categories and quantum K-matrices\n\nAbstracts:\nMarch 10: Cluster Algebras were invented by Fomin and Zelevinsky in the early 2000s and quickly turned into an indispensable tool in many areas of mathematics. In this talk\, we will provide a gentle introduction to the subject. From the early days of the theory of cluster algebras\, one of the desired constructions was to turn the quantized coordinate rings of complex simple Lie groups into quantum cluster algebras. This remained elusive. We will present a resolution of this conjecture and of the Berenstein-Zelevinsky conjecture on cluster structures on quantum double Bruhat cells. This is a joint work with Fan Qin and Hironori Oya.\n\nMarch 17: Braided monoidal categories have applications in various situations. In particular\, their universal R-matrices give solutions of the quantum Yang-Baxter equation and representations of braid groups of type A. There are powerful methods for constructing them: Drinfeld doubles of Hopf algebras and Drinfeld centres of monoidal categories. On the other hand\, universal K-matrices\, leading to solutions of the reflection equation and representations of braid groups of type B are much less well understood and there are no general constructions for them. We will describe a construction of reflective centers of module categories. It gives rise to a quantum double construction for universal K-matrices\, which can be viewed as a type B analog of Drinfeld’s double construction. This is a joint work with Robert Laugwitz and Chelsea Walton.\n\nMore information can be found on the seminar’s web-page:\nhttps://icms.bg/category/icms-seminar/
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-42/
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:20260317T130000
DTEND;TZID=Europe/Sofia:20260317T143000
DTSTAMP:20260530T105744
CREATED:20260308T223545Z
LAST-MODIFIED:20260308T223648Z
UID:18966-1773752400-1773757800@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Two lectures by Milen Yakimov\,\nchair of the group on Cluster Algebras and Quantum Groups at the ICMS\, IMI-BAS.\n\nTuesday\, March 10\, at 13:00 in room 403\, IMI-BAS.\nCluster structures on quantum groups and the full Berenstein-Zelevinsky conjecture\n\nTuesday\, March 17\, at 13:00 in room 403\, IMI-BAS.\nReflective centres of module categories and quantum K-matrices\n\nAbstracts:\nMarch 10: Cluster Algebras were invented by Fomin and Zelevinsky in the early 2000s and quickly turned into an indispensable tool in many areas of mathematics. In this talk\, we will provide a gentle introduction to the subject. From the early days of the theory of cluster algebras\, one of the desired constructions was to turn the quantized coordinate rings of complex simple Lie groups into quantum cluster algebras. This remained elusive. We will present a resolution of this conjecture and of the Berenstein-Zelevinsky conjecture on cluster structures on quantum double Bruhat cells. This is a joint work with Fan Qin and Hironori Oya.\n\nMarch 17: Braided monoidal categories have applications in various situations. In particular\, their universal R-matrices give solutions of the quantum Yang-Baxter equation and representations of braid groups of type A. There are powerful methods for constructing them: Drinfeld doubles of Hopf algebras and Drinfeld centres of monoidal categories. On the other hand\, universal K-matrices\, leading to solutions of the reflection equation and representations of braid groups of type B are much less well understood and there are no general constructions for them. We will describe a construction of reflective centers of module categories. It gives rise to a quantum double construction for universal K-matrices\, which can be viewed as a type B analog of Drinfeld’s double construction. This is a joint work with Robert Laugwitz and Chelsea Walton.\n\nMore information can be found on the seminar’s web-page:\nhttps://icms.bg/category/icms-seminar/
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-43/
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:20260512T130000
DTEND;TZID=Europe/Sofia:20260512T143000
DTSTAMP:20260530T105744
CREATED:20260507T084122Z
LAST-MODIFIED:20260507T084203Z
UID:19205-1778590800-1778596200@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Дата и място: Tuesday\, May 12-th\, 13:00\, room 403 IMI-BAS.\nЛектор: Ina Petkova (Darmouth College)\nЗаглавие: Khovanov homology and Lagrangian cobordisms \nРезюме: We provide a partial answer to a question of Ekholm\, Honda\, and Kalman about the relationship between Khovanov homology and decomposable Lagrangian cobordisms. We also utilize previously defined filtered invariants to give a family of obstructions to decomposable Lagrangian cobordisms from Khovanov homology. Joint with Gage Martin and Zachary Winkeler. \n\nЗа допълнителна информация:\nhttps://icms.bg/khovanov-homology-and-lagrangian-cobordisms-icms-seminar-talk-by-ina-petkova/\nhttps://icms.bg/category/icms-seminar/
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-44/
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:20260602T130000
DTEND;TZID=Europe/Sofia:20260602T143000
DTSTAMP:20260530T105744
CREATED:20260527T072127Z
LAST-MODIFIED:20260527T072127Z
UID:19431-1780405200-1780410600@math.bas.bg
SUMMARY:Съвместен семинар на МЦМН и секция АГТ
DESCRIPTION:Date and time: Tuesday\, June 2-nd\, 2026\, 13:00\, room 403 IMI-BAS \nLecturer: Bogdan Djordjevic\, (Serbian Academy of Arts and Sciences\, visitor at ICMS\, IMI-BAS) \nTitle: Application of the Laplace transform for evaluating sums of hyperharmonic-like series in Banach algebras and modules \nAbstract: In this talk it will be shown how the Laplace transform (in respective Banach spaces) can be utilized for evaluating sums of Banach-space-valued series. We demonstrate the technique on various abstract generalizations of the numerical hyperharmonic series\, including noncommutative setting and non-invertible setting. As an application\, we obtain new necessary consistency condition for the Sylvester equation \(\)ax-xb=c[\latex].
URL:https://math.bas.bg/event/%d1%81%d1%8a%d0%b2%d0%bc%d0%b5%d1%81%d1%82%d0%b5%d0%bd-%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-%d0%b8-%d1%81%d0%b5%d0%ba%d1%86%d0%b8%d1%8f-%d0%b0%d0%b3%d1%82-3/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
CATEGORIES:Редовен семинар
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