BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Yang Jinwei (Shanghai Jiaotong University\, China) DTSTART:20230831T113000Z DTEND:20230831T121000Z DTSTAMP:20260404T094428Z UID:RLRT23/1 DESCRIPTION:Title: Tensor categories arising from the Virasoro algebra\nby Yang Jin wei (Shanghai Jiaotong University\, China) as part of Representations of L ie Superalgebras and Related Topics\n\n\nAbstract\nVirasoro algebra is one of the most fundamental infinite dimensional Lie algebras and also founda tional in two dimensional conformal field theory. In this talk\, we will p rove the existence of the tensor structure on the representation category of Virasoro algebra using vertex operator algebra tensor category theory\, and then study the detailed tensor structures such as the fusion rules an d rigidity of these tensor categories.\n\nMeeting ID: 925 4420 8640 Passco de: 123089\n LOCATION:https://stable.researchseminars.org/talk/RLRT23/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Adamovic Drazen (University of Zagreb\, Croatia) DTSTART:20230831T121500Z DTEND:20230831T125500Z DTSTAMP:20260404T094428Z UID:RLRT23/2 DESCRIPTION:Title: Realizations of affine vertex algebras and logarithmic vertex algebr as\nby Adamovic Drazen (University of Zagreb\, Croatia) as part of Rep resentations of Lie Superalgebras and Related Topics\n\n\nAbstract\nWe sha ll first discuss our realization of affine vertex algebra $L_k(sl(2))$ and present some applications in the representation theory. We present applic ations to logarithmic vertex algebras using inverse quantum hamiltonian re duction. We shall also study a duality between N=4 superconformal vertex a lgebra with central charge c=-9 and the affine vertex algebra $L_k(osp(1\, 2))$ at the critical level (jointly with Q. Wang).\n\nMeeting ID: 925 4420 8640 Passcode: 123089\n LOCATION:https://stable.researchseminars.org/talk/RLRT23/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Elduque Alberto (University of Zaragoza\, Spain) DTSTART:20230831T131500Z DTEND:20230831T135500Z DTSTAMP:20260404T094428Z UID:RLRT23/3 DESCRIPTION:Title: Tensor categories\, algebras\, and superalgebras\nby Elduque Alb erto (University of Zaragoza\, Spain) as part of Representations of Lie Su peralgebras and Related Topics\n\n\nAbstract\nAfter reviewing the basic de finitions of tensor categories and the notion of semisimplification of sym metric tensor categories\, it will be shown how the semisimplification of the category of representations of the cyclic group of order 3 over a fiel d of characteristic 3 is naturally equivalent to the category of vector su perspaces over this field. This allows to define a superalgebra starting w ith any algebra endowed with an order 3 automorphism.As a noteworthy examp le\, the exceptional composition superalgebras will be obtained\, in a sys tematic way\, from the split octonion algebra\, and all the Lie superalgeb ras in the extended Freudenthal Magic Square in characteristic 3\, which a re specific of this characteristic\, will be obtained from the exceptional simple Lie algebra of type E8.\n\nMeeting ID: 925 4420 8640 Passcode: 123 089\n LOCATION:https://stable.researchseminars.org/talk/RLRT23/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Billig Yuly (University of Carleton\, Canada) DTSTART:20230831T140000Z DTEND:20230831T144000Z DTSTAMP:20260404T094428Z UID:RLRT23/4 DESCRIPTION:Title: Sheaves of AV-modules over projective varieties\nby Billig Yuly (University of Carleton\, Canada) as part of Representations of Lie Supera lgebras and Related Topics\n\n\nAbstract\nAV-modules are representations o f Lie algebra V of vector fields that admit a compatible action of the com mutative algebra A of functions. This notion is a natural generalization o f D-modules. In this talk we shall start by reviewing the theory of AV-mod ules over smooth irreducible affine varieties. When variety X is projectiv e\, it is necessary to consider sheaves of AV-modules. We describe associa tive algebras that control the category of AV-modules\, and construct a fu nctor from the category of strong representations of Lie algebra of jets o f vector fields to the category of AV-modules. This talk is based on the j oint work with Colin Ingalls\, as well as the work of Emile Bouaziz and He nrique Rocha.\n\nMeeting ID: 925 4420 8640 Passcode: 123089\n LOCATION:https://stable.researchseminars.org/talk/RLRT23/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Mazorchuk Volodymyr (Uppsala university\, Sweden) DTSTART:20230901T103000Z DTEND:20230901T111000Z DTSTAMP:20260404T094428Z UID:RLRT23/5 DESCRIPTION:Title: Recent progress on Kostant's problem\nby Mazorchuk Volodymyr (Up psala university\, Sweden) as part of Representations of Lie Superalgebras and Related Topics\n\n\nAbstract\nLet g be a semi-simple complex finite d imensional Lie algebra. Kostant's problem for a g-module L asks whether th e universal enveloping algebra of g surjects onto the algebra of all local ly ad(g)-finite endomorphisms of L. Although the answer to Kostant's probl em is known for some special classes of modules (for example\, the answer is positive for all Verma modules)\, no complete answer is known\, for exa mple\, for simple highest weight modules. In this talk I will describe som e recent progress in understanding the answer to Kostant's problem for sim ple highest weight modules indexed by fully commutative permutations and f or some parabolic Verma modules. Based on a joint work with Marco Mackaay and Venessa Miemietz and another joint work with Shraddha Srivastava.\n\nM eeting ID: 925 4420 8640 Passcode: 123089\n LOCATION:https://stable.researchseminars.org/talk/RLRT23/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Luo Li (East China Normal University\, China) DTSTART:20230901T111500Z DTEND:20230901T115500Z DTSTAMP:20260404T094428Z UID:RLRT23/6 DESCRIPTION:Title: Blocks and characters of modules of non-integral weights for excepti onal Lie superalgebras\nby Luo Li (East China Normal University\, Chin a) as part of Representations of Lie Superalgebras and Related Topics\n\n\ nAbstract\nWe classify blocks in the BGG category O of modules of non-inte gral weights for the exceptional Liesuperalgebras D(2|1\,zeta) and G(3). F urthermore\, we compute the characters for their irreducible modules of no n-integral weights in O. This is joint work with Chih-Whi Chen and Shun-Je n Cheng.\n\nMeeting ID: 925 4420 8640 Passcode: 123089\n LOCATION:https://stable.researchseminars.org/talk/RLRT23/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Palmkvist Jakob (Orebro University\, Sweden) DTSTART:20230901T121500Z DTEND:20230901T125500Z DTSTAMP:20260404T094428Z UID:RLRT23/7 DESCRIPTION:Title: Generalised vector fields\nby Palmkvist Jakob (Orebro University \, Sweden) as part of Representations of Lie Superalgebras and Related Top ics\n\n\nAbstract\nGiven any semisimple Kac-Moody algebra g\, any dominant integral weight of g and any symmetric invariant bilinear form on g\, I w ill generalise the Lie superalgebra W(n) of formal vector fields on n odd coordinates. The Lie superalgebra of generalised vector fields has a consi stent Z-grading where a central extension of g generalises gl(n) at degree 0\, and the irreducible module with the given highest weight is the subsp ace at degree -1\, generalising the n-dimensional fundamental module of gl (n). Many well known Lie superalgebras appear as special cases (possibly a fter imposing a restriction on the subspace at degree 1)\, but also new on es that have not been studied before. Under certain conditions\, they are isomorphic to tensor hierarchy algebras\, which are defined from a Cartan matrix by generators and relations. The tensor hierarchy algebras have bee n useful in the description of extended gravity theories in physics\, wher e ordinary diffeomorphisms are generalised and unified with additional gau ge transformations. The talk is based on collaborations with Martin Cederw all: 2207.12417 and work in progress.\n\nMeeting ID: 925 4420 8640 Passcod e: 123089\n LOCATION:https://stable.researchseminars.org/talk/RLRT23/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Zhao Kaiming (Wilfrid Laurier University\, Canada) DTSTART:20230901T130000Z DTEND:20230901T133000Z DTSTAMP:20260404T094428Z UID:RLRT23/8 DESCRIPTION:Title: Smooth representations of affine Lie algebras\nby Zhao Kaiming ( Wilfrid Laurier University\, Canada) as part of Representations of Lie Sup eralgebras and Related Topics\n\n\nAbstract\nIn this talk\, I will provide a method to construct a class of simple smooth weight modules over affine Lie algebras which are not highest weight modules. Such simple modules ov er the Virasoro algebra or the Neveu-Schwarz superalgebra do not exist.\n\ nMeeting ID: 925 4420 8640 Passcode: 123089\n LOCATION:https://stable.researchseminars.org/talk/RLRT23/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Grantcharov Dimitar (University of Texas at Arlington\, United Sta tes of America) DTSTART:20230901T133500Z DTEND:20230901T140500Z DTSTAMP:20260404T094428Z UID:RLRT23/9 DESCRIPTION:Title: Weight modules of Lie superalgebras at infinity\nby Grantcharov Dimitar (University of Texas at Arlington\, United States of America) as p art of Representations of Lie Superalgebras and Related Topics\n\n\nAbstra ct\nIn this talk we will discuss bounded weight modules\, i.e.\, modules t hat decompose as direct sums of weight spaces and whose sets of weight mul tiplicities are uniformly bounded. Our main focus will be on the direct li mits of classical Lie (super)algebras. In particular\, we will present the classification of the simple bounded weight modules over $\\mathfrak{sl} (\\infty)$\, $\\mathfrak{o} (\\infty)$\, $\\mathfrak{sp} (\\infty)$\, as w ell as over their super-analogs. A key role in the study plays the theory of weight modules over Weyl and Clifford superalgebras of infinitely many variables. The talk is based on joint works with I. Penkov and V. Serganov a.\n\nMeeting ID: 925 4420 8640 Passcode: 123089\n LOCATION:https://stable.researchseminars.org/talk/RLRT23/9/ END:VEVENT END:VCALENDAR