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BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20250603T140000
DTEND;TZID=Europe/Sofia:20250603T153000
DTSTAMP:20260405T064002
CREATED:20250530T114116Z
LAST-MODIFIED:20250530T114116Z
UID:17828-1748959200-1748964600@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Семинарът на МЦМН продължава със серия от четири лекции на д-р Петър Далаков\, както следва: \nДати: 3\, 6\, 10\, 13-ти юни\, 14:00 часа \nМясто: стая 403\, ИМИ-БАН \nЛектор: Петър Далаков (ИМИ и АУБГ) \nТема: Special Kaehler Geometry and some applications \nРезюме: In this short sequence of lectures we will discuss the notion of special Kaehler structure and some of its links to complex algebraic geometry\, in particular\, complex Lagrangians\, variations of Hodge structures and algebraic integrable systems. The sequence will conclude with examples related to various moduli spaces of Higgs bundles on curves. \nПовече информация можете да намерите на страницата на семинара:\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-32/
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:20250606T140000
DTEND;TZID=Europe/Sofia:20250606T153000
DTSTAMP:20260405T064002
CREATED:20250530T115133Z
LAST-MODIFIED:20250530T115133Z
UID:17831-1749218400-1749223800@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Семинарът на МЦМН продължава със серия от четири лекции на д-р Петър Далаков\, както следва: \nДати: 3\, 6\, 10\, 13-ти юни\, 14:00 часа \nМясто: стая 403\, ИМИ-БАН \nЛектор: Петър Далаков (ИМИ и АУБГ) \nТема: Special Kaehler Geometry and some applications \nРезюме: In this short sequence of lectures we will discuss the notion of special Kaehler structure and some of its links to complex algebraic geometry\, in particular\, complex Lagrangians\, variations of Hodge structures and algebraic integrable systems. The sequence will conclude with examples related to various moduli spaces of Higgs bundles on curves. \nПовече информация можете да намерите на страницата на семинара:\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-33/
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:20250606T140000
DTEND;TZID=Europe/Sofia:20250606T170000
DTSTAMP:20260405T064002
CREATED:20250605T152545Z
LAST-MODIFIED:20250605T152545Z
UID:17864-1749218400-1749229200@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:The ICMS Seminar will meet this Friday\, June 6-th\, at 14:00\, with three lectures by\nPeter Dalakov\, Lyudmil Katzarkov and Ernesto Lupercio from IMI-BAS. \nThe schedule is the following. \nJune 6-th. Room 403 IMI-BAS. \n14:00 – 14:50.  Peter Dalakov\nSpecial Kaehler Geometry and some applications (Part II) \n15:00 – 15:50.  Lyudmil Katzarkov\nAtoms and Minimal Model Program \n16:00 – 16:50. Ernesto Lupercio\nElliptic genus and applications \nAbstracts and more information can be found at\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-36/
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:20250610T140000
DTEND;TZID=Europe/Sofia:20250610T153000
DTSTAMP:20260405T064002
CREATED:20250530T115318Z
LAST-MODIFIED:20250530T115318Z
UID:17835-1749564000-1749569400@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Семинарът на МЦМН продължава със серия от четири лекции на д-р Петър Далаков\, както следва: \nДати: 3\, 6\, 10\, 13-ти юни\, 14:00 часа \nМясто: стая 403\, ИМИ-БАН \nЛектор: Петър Далаков (ИМИ и АУБГ) \nТема: Special Kaehler Geometry and some applications \nРезюме: In this short sequence of lectures we will discuss the notion of special Kaehler structure and some of its links to complex algebraic geometry\, in particular\, complex Lagrangians\, variations of Hodge structures and algebraic integrable systems. The sequence will conclude with examples related to various moduli spaces of Higgs bundles on curves. \nПовече информация можете да намерите на страницата на семинара:\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-34/
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:20250613T140000
DTEND;TZID=Europe/Sofia:20250613T170000
DTSTAMP:20260405T064002
CREATED:20250530T115921Z
LAST-MODIFIED:20250612T122953Z
UID:17840-1749823200-1749834000@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Семинарът на МЦМН продължава със серия от четири лекции на д-р Петър Далаков\, както следва: \nДата: 13-ти юни  \nМясто: стая 403\, ИМИ-БАН \n14:00 – 15:30.  Peter Dalakov\nSpecial Kaehler geometry and some applications (Part IV) \n16:00 – 17:00. Ernesto Lupercio\nElliptic genera and the geometry of loop spaces and applications \nРезюмета и допълнителна информация можете да намерите на страницата на семинара:\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-35/
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:20250620T153000
DTEND;TZID=Europe/Sofia:20250620T180000
DTSTAMP:20260405T064002
CREATED:20250616T133106Z
LAST-MODIFIED:20250616T133123Z
UID:17940-1750433400-1750442400@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Следващото заседание на семинара на МЦМН ще се състои в петък\, с доклади на Алексанър Стоколос и Ернесто Луперсио. \nICMS Seminar\nFriday\, June 20-th. Room 403 IMI-BAS. \n15:30 – 16:30.  Alexander Stokolos (Georgia Southern University)\nOn extremal polynomials \nAbstract: I will present known and new polynomials emerging from the extremal problems of geometric complex analysis. \n16:45 – 17:45. Ernesto Lupercio (IMI-BAS and Cinvestav IPN México)\nAnalysis in Loop Spaces and Genera \nAbstract: Analysis on loop spaces\, motivated by ideas from conformal field theory\, leads naturally to the construction of elliptic genera—topological invariants with deep modular and representation-theoretic properties. \nМore information can be found at the seminar’s website\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-37/
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:20251104T130000
DTEND;TZID=Europe/Sofia:20251104T143000
DTSTAMP:20260405T064002
CREATED:20251031T130526Z
LAST-MODIFIED:20251031T131026Z
UID:18421-1762261200-1762266600@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Семинар на МЦМН \nВторник\, 4.11.2025\, 13:00 ч.\, Зала 403\, ИМИ – БАН \nЛектор: Leonardo Cavenaghi (МЦМН\, ИМИ – БАН) \nТема на доклада: Exotic phenomena in topology and geometry \n  \nРезюме: This talk\, aimed at a general audience of mathematicians\, discusses very geometric models of exotic spheres. \nExotic spheres are manifolds homeomorphic to classical spheres but not diffeomorphic to them. We will outline some constructions via group actions and discuss their admissible geometries. For instance\, until this day\, it is not known whether an exotic sphere admits a metric of positive sectional curvature\, but some do not even admit positive scalar curvature. \nIn this talk\, we also outline how one can indirectly study their geometries\, aiming to gain a better understanding of their admissible geometries\, for example\, regarding the existence of Lorentzian metrics and the spectral problem. \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-38/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20251118T130000
DTEND;TZID=Europe/Sofia:20251118T153000
DTSTAMP:20260405T064002
CREATED:20251118T095857Z
LAST-MODIFIED:20251118T095857Z
UID:18584-1763470800-1763479800@math.bas.bg
SUMMARY:Съвместно заседание на Семинара по особености и Семинара на МЦМН
DESCRIPTION:Joint meeting of the Seminar on Singularities and the ICMS Seminar\, with a lecture by Pablo Cuadrado. The program is as follows.\n\nTuesday\, November 18\, room 403\, IMI-BAS.\n\n13:00 — Giovane Galindo (ICMS\, IMI-BAS)\nBundle-type sub-Riemannian structures on holonomy bundles\n\n14:00 — Pablo Portilla Cuadrado (Universidad Politécnica de Madrid)\nThe medial axis of the Milnor fiber\n\nAbstract (Galindo): In this talk we present the notion of Gromov-Hausdorff distance\, a novel field of study that aims to understand the topology of the moduli space of Riemannian metrics on a given manifold. We will then present new results on the subject concerning the collapse of principal bundles onto reductive homogeneous spaces.\n\nAbstract (Cuadrado): Let f(x\,y) define an isolated singularity at the origin. In this talk we explore a new flat metric induced on the Milnor fiber of f by the associated complex Hamiltonian vector field. With the help of this metric we can define a spine on each Milnor fiber via the classical method of the medial axis. This spine depends on the choice of boundary for the Milnor fiber. It is subanalytic and comes equipped with a retraction from the boundary onto it. We hope to understand the geometry of the versal unfolding space via these spines. This ongoing joint work with Norbert A’Campo.
URL:https://math.bas.bg/event/%d1%81%d1%8a%d0%b2%d0%bc%d0%b5%d1%81%d1%82%d0%bd%d0%be-%d0%b7%d0%b0%d1%81%d0%b5%d0%b4%d0%b0%d0%bd%d0%b8%d0%b5-%d0%bd%d0%b0-%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80%d0%b0-%d0%bf%d0%be-%d0%be%d1%81/
LOCATION:Институт по математика и информатика – БАН\, Block 8\, 1113 БАН IV км.\, София\, Bulgaria
END:VEVENT
BEGIN:VEVENT
DTSTART;TZID=Europe/Sofia:20251125T130000
DTEND;TZID=Europe/Sofia:20251125T143000
DTSTAMP:20260405T064002
CREATED:20251121T194854Z
LAST-MODIFIED:20251121T195038Z
UID:18595-1764075600-1764081000@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Вторник\, 25 ноември 2025 г.\, 13:00\, room 403\, IMI-BAS.\n\nDeepanshu Prasad (МЦМН\, ИМИ – БАН)\nAn Extension of Sato-Kimura Theorem for Semi-invariant rings\n\nРезюме: We give an analog of a result of Sato-Kimura in the context of a semi-invariant  ring for a finite dimensional algebra over an algebraically closed field K of characteristics 0. Then\, we examine the case of finite dimensional hereditary algebras over K. This is joint work with Charles Paquette and David Wehlau. \n\nAn Extension of Sato-Kimura Theorem for Semi-invariant rings\, ICMS seminar talk by Deepanshu Prasad
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-39/
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:20251126T160000
DTEND;TZID=Europe/Sofia:20251126T173000
DTSTAMP:20260405T064002
CREATED:20251121T195900Z
LAST-MODIFIED:20251126T094131Z
UID:18602-1764172800-1764178200@math.bas.bg
SUMMARY:Съвместно заседание на семинара на МЦМН и семинара на секция МОИ
DESCRIPTION:26 ноември 2025 г.\, сряда\, от 16:00 ч. в Зала 403 на ИМИ – БАН. \nСъвместно заседание на Семинара на МЦМН и Семинара на секция Математически основи на информатиката \nFrank Vallentin (Universität zu Köln) \nLeast distortion Euclidean embeddings of flat tori\nРезюме: In the emerging field of bi-Lipschitz invariant theory\, one studies embeddings of orbit spaces H/G (H a Hilbert space\, G a subgroup of its automorphisms) into simpler Hilbert spaces via distance-preserving maps up to a constant factor. \n\nIn this talk\, I present an infinite-dimensional semidefinite program that computes least-distortion embeddings of flat tori Rn/L\, where L is an n-dimensional lattice\, into Hilbert spaces. Using symmetry reduction techniques\, this infinite-dimensional semidefinite program reduces to an infinite-dimensional linear program. \nEven with this simplification\, solving the program remains challenging. By combining this approach with the linear programming bound for spherical designs\, combined with brute-force methods\, we finally are able to determine the least-distortion embeddings of Rn/Zn\, R2/A2\, and R8/E8. \n(Based on joint work with Arne Heimendahl\, Moritz Lücke\, Philippe Moustrou\, and Marc Christian Zimmermann) \n\nLeast distortion Euclidean embeddings of flat tori\, ICMS seminar talk by Frank Vallentin
URL:https://math.bas.bg/event/%d1%81%d1%8a%d0%b2%d0%bc%d0%b5%d1%81%d1%82%d0%bd%d0%be-%d0%b7%d0%b0%d1%81%d0%b5%d0%b4%d0%b0%d0%bd%d0%b8%d0%b5-%d0%bd%d0%b0-%d1%81%d0%b5%d0%bc%d0%b8%d0%bd%d0%b0%d1%80%d0%b0-%d0%bd%d0%b0-%d0%bc%d1%86/
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:20251202T130000
DTEND;TZID=Europe/Sofia:20251202T160000
DTSTAMP:20260405T064002
CREATED:20251202T105711Z
LAST-MODIFIED:20251202T105711Z
UID:18623-1764680400-1764691200@math.bas.bg
SUMMARY:Семинар на МЦМН и съвместно заседание със семинара АГТ
DESCRIPTION:Следващото заседание на семинара на МЦМН ще се състои във вторник\, 2 декември 2025 г. Доклади ще изнесат Рой Маген от МЦМН и Ливиу Орнеа от Букурещския университет\, като вторият доклад е в рамките на съвместно заседание със семинара на секция “Анализ\, Геометрия и Топология”. Програмата е следната.\n\nICMS Seminar and AGT Seminar\n\nTuesday\, December 2nd\, room 403 IMI-BAS. \n\n\n13:00 — Roy Magen (ICMS\, IMI-BAS) \n\n Flavours of homotopy theory \n\n\n14:00 — Liviu Ornea (University of Bucarest) \n\n Distinguished non-Kähler metrics on compact complex manifolds \n\nAbstract (Magen): \n   In this talk we will consider different flavours of homotopy theory for different types of geometric contexts. First we will recall the usual definitions of the homotopy category\, and equivariant homotopy categories\, and we will show how we can think of these in terms of (equivariant) smooth manifolds. This will give us a suitable framework with which to adapt the notion of homotopy theory to different geometries.\nWe first use this framework to give a brief overview of the story in algebraic geometry\, which produces motivic homotopy theory. Next\, we will use our framework to discuss notions of homotopy theories parametrized by a geometric object\, and discuss some consequences.\nDepending on time constraints and interest\, we will end either by discussing work relating this homotopical framework to 6-functor formalisms\, by going over a version of this story in the complex analytic setting\, or by introducing C∞-schemes and discussing possibilities for an extension of the story for manifolds to this setting. \nAbstract (Ornea):\n\n   I shall review the definitions of LCK\, pluriclosed and balanced metrics and discuss their incompatibility on the same compact complex manifold.
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-%d0%b8-%d1%81%d1%8a%d0%b2%d0%bc%d0%b5%d1%81%d1%82%d0%bd%d0%be-%d0%b7%d0%b0%d1%81%d0%b5%d0%b4%d0%b0%d0%bd%d0%b8%d0%b5/
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:20260120T130000
DTEND;TZID=Europe/Sofia:20260120T143000
DTSTAMP:20260405T064002
CREATED:20260115T144514Z
LAST-MODIFIED:20260115T144532Z
UID:18781-1768914000-1768919400@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Дата и място: Вторник\, 20.01.2026 г.\, 13:00 ч.\, Зала 403\, ИМИ – БАН \nДокладчик: Bogdan Đorđević (Serbian Academy of Arts and Sciences) \nЗаглавие: Applications of Banach algebras and Banach modules to some contemporary analysis problems \nAbstract:\nIn recent years applied mathematics has experienced a historical progress\, blurring the lines between the previously clear research paths and directions. Accordingly\, contemporary mathematical analysis is at the verge of unifying seemingly different research areas and topics. With this in mind\, I’d like to talk about my humble contribution to this cause: my lecture will concern how Banach algebras and modules\, combined with spectral theory\, functional calculus\, and generalized inverses\, help in various problems that emerge in applied mathematics in general: from solving operator and matrix equations\, to evaluating sums of some Banach-space-valued series\, to analyzing some unstable abstract Cauchy problems\, and finally to approximating solutions to functional stochastic differential equations. \nДопълнителна информация можете да намерите на сайта на семинара:\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-40/
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:20260127T130000
DTEND;TZID=Europe/Sofia:20260127T143000
DTSTAMP:20260405T064002
CREATED:20260127T141628Z
LAST-MODIFIED:20260127T141628Z
UID:18826-1769518800-1769524200@math.bas.bg
SUMMARY:Семинар на МЦМН
DESCRIPTION:Дата и място: Вторник\, 27.01.2026 г.\, 13:00 ч.\, Зала 403\, ИМИ – БАН \nДокладчик: Jean-Pierre Gazeau (Université Paris Cité\, CNRS\, and University of Białystok) \nЗаглавие: Spectral and angular variables for open qudit dynamics \nAbstract:  In this talk\, I introduce a parametrization of finite-dimensional quantum states that is particularly adapted to the study of open qudit dynamics. Any generic density matrix in Cn can be described by separating spectral variables\, which encode the eigenvalue content\, from angular variables associated with the unitary degrees of freedom. These angular variables naturally live on the coset space SU(n)/T\, in the spirit of the Tilma–Sudarshan construction.\nA key outcome of this parametrization is a partial decoupling of the GKLS evolution: while the angular variables are driven by both the Hamiltonian and the dissipative contributions\, the spectral variables evolve under the dissipative part only. This separation provides a transparent geometric picture of decoherence and dissipation. Simple examples for qubits and qutrits are discussed\, together with an alternative\, geometrically motivated notion of purity expressed solely in terms of the spectral variables in a linear way. \nДопълнителна информация можете да намерите на сайта на семинара:\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-41/
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:20260310T130000
DTEND;TZID=Europe/Sofia:20260310T143000
DTSTAMP:20260405T064002
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:20260405T064002
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
END:VCALENDAR