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:20260422T212731Z UID:RLRT23/1 DESCRIPTION:Title: T ensor categories arising from the Virasoro algebra\nby Yang Jinwei (Sh anghai Jiaotong University\, China) as part of Representations of Lie Supe ralgebras and Related Topics\n\n\nAbstract\nVirasoro algebra is one of the most fundamental infinite dimensional Lie algebras and also foundational in two dimensional conformal field theory. In this talk\, we will prove th e existence of the tensor structure on the representation category of Vira soro algebra using vertex operator algebra tensor category theory\, and th en study the detailed tensor structures such as the fusion rules and rigid ity of these tensor categories.\n\nMeeting ID: 925 4420 8640 Passcode: 123 089\n LOCATION:https://researchseminars.org/talk/RLRT23/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Adamovic Drazen (University of Zagreb\, Croatia) DTSTART:20230831T121500Z DTEND:20230831T125500Z DTSTAMP:20260422T212731Z UID:RLRT23/2 DESCRIPTION:Title: R ealizations of affine vertex algebras and logarithmic vertex algebras\ nby Adamovic Drazen (University of Zagreb\, Croatia) as part of Representa tions of Lie Superalgebras and Related Topics\n\n\nAbstract\nWe shall firs t discuss our realization of affine vertex algebra $L_k(sl(2))$ and presen t some applications in the representation theory. We present applications to logarithmic vertex algebras using inverse quantum hamiltonian reduction . We shall also study a duality between N=4 superconformal vertex algebra 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 P asscode: 123089\n LOCATION:https://researchseminars.org/talk/RLRT23/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Elduque Alberto (University of Zaragoza\, Spain) DTSTART:20230831T131500Z DTEND:20230831T135500Z DTSTAMP:20260422T212731Z UID:RLRT23/3 DESCRIPTION:Title: T ensor categories\, algebras\, and superalgebras\nby Elduque Alberto (U niversity of Zaragoza\, Spain) as part of Representations of Lie Superalge bras and Related Topics\n\n\nAbstract\nAfter reviewing the basic definitio ns of tensor categories and the notion of semisimplification of symmetric tensor categories\, it will be shown how the semisimplification of the cat egory of representations of the cyclic group of order 3 over a field of ch aracteristic 3 is naturally equivalent to the category of vector superspac es over this field. This allows to define a superalgebra starting with any algebra endowed with an order 3 automorphism.As a noteworthy example\, th e exceptional composition superalgebras will be obtained\, in a systematic way\, from the split octonion algebra\, and all the Lie superalgebras in the extended Freudenthal Magic Square in characteristic 3\, which are spec ific of this characteristic\, will be obtained from the exceptional simple Lie algebra of type E8.\n\nMeeting ID: 925 4420 8640 Passcode: 123089\n LOCATION:https://researchseminars.org/talk/RLRT23/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Billig Yuly (University of Carleton\, Canada) DTSTART:20230831T140000Z DTEND:20230831T144000Z DTSTAMP:20260422T212731Z UID:RLRT23/4 DESCRIPTION:Title: S heaves of AV-modules over projective varieties\nby Billig Yuly (Univer sity of Carleton\, Canada) as part of Representations of Lie Superalgebras and Related Topics\n\n\nAbstract\nAV-modules are representations of Lie a lgebra V of vector fields that admit a compatible action of the commutativ e algebra A of functions. This notion is a natural generalization of D-mod ules. In this talk we shall start by reviewing the theory of AV-modules ov er smooth irreducible affine varieties. When variety X is projective\, it is necessary to consider sheaves of AV-modules. We describe associative al gebras that control the category of AV-modules\, and construct a functor f rom the category of strong representations of Lie algebra of jets of vecto r fields to the category of AV-modules. This talk is based on the joint wo rk with Colin Ingalls\, as well as the work of Emile Bouaziz and Henrique Rocha.\n\nMeeting ID: 925 4420 8640 Passcode: 123089\n LOCATION:https://researchseminars.org/talk/RLRT23/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Mazorchuk Volodymyr (Uppsala university\, Sweden) DTSTART:20230901T103000Z DTEND:20230901T111000Z DTSTAMP:20260422T212731Z UID:RLRT23/5 DESCRIPTION:Title: R ecent progress on Kostant's problem\nby Mazorchuk Volodymyr (Uppsala u niversity\, Sweden) as part of Representations of Lie Superalgebras and Re lated Topics\n\n\nAbstract\nLet g be a semi-simple complex finite dimensio nal Lie algebra. Kostant's problem for a g-module L asks whether the unive rsal enveloping algebra of g surjects onto the algebra of all locally ad(g )-finite endomorphisms of L. Although the answer to Kostant's problem is k nown for some special classes of modules (for example\, the answer is posi tive for all Verma modules)\, no complete answer is known\, for example\, for simple highest weight modules. In this talk I will describe some recen t progress in understanding the answer to Kostant's problem for simple hig hest weight modules indexed by fully commutative permutations and for some parabolic Verma modules. Based on a joint work with Marco Mackaay and Ven essa Miemietz and another joint work with Shraddha Srivastava.\n\nMeeting ID: 925 4420 8640 Passcode: 123089\n LOCATION:https://researchseminars.org/talk/RLRT23/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Luo Li (East China Normal University\, China) DTSTART:20230901T111500Z DTEND:20230901T115500Z DTSTAMP:20260422T212731Z UID:RLRT23/6 DESCRIPTION:Title: B locks and characters of modules of non-integral weights for exceptional Li e superalgebras\nby Luo Li (East China Normal University\, China) as p art of Representations of Lie Superalgebras and Related Topics\n\n\nAbstra ct\nWe classify blocks in the BGG category O of modules of non-integral we ights for the exceptional Liesuperalgebras D(2|1\,zeta) and G(3). Furtherm ore\, we compute the characters for their irreducible modules of non-integ ral weights in O. This is joint work with Chih-Whi Chen and Shun-Jen Cheng .\n\nMeeting ID: 925 4420 8640 Passcode: 123089\n LOCATION:https://researchseminars.org/talk/RLRT23/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Palmkvist Jakob (Orebro University\, Sweden) DTSTART:20230901T121500Z DTEND:20230901T125500Z DTSTAMP:20260422T212731Z UID:RLRT23/7 DESCRIPTION:Title: G eneralised vector fields\nby Palmkvist Jakob (Orebro University\, Swed en) as part of Representations of Lie Superalgebras and Related Topics\n\n \nAbstract\nGiven any semisimple Kac-Moody algebra g\, any dominant integr al weight of g and any symmetric invariant bilinear form on g\, I will gen eralise the Lie superalgebra W(n) of formal vector fields on n odd coordin ates. The Lie superalgebra of generalised vector fields has a consistent Z -grading where a central extension of g generalises gl(n) at degree 0\, an d the irreducible module with the given highest weight is the subspace at degree -1\, generalising the n-dimensional fundamental module of gl(n). Ma ny well known Lie superalgebras appear as special cases (possibly after im posing a restriction on the subspace at degree 1)\, but also new ones that have not been studied before. Under certain conditions\, they are isomorp hic to tensor hierarchy algebras\, which are defined from a Cartan matrix by generators and relations. The tensor hierarchy algebras have been usefu l in the description of extended gravity theories in physics\, where ordin ary diffeomorphisms are generalised and unified with additional gauge tran sformations. The talk is based on collaborations with Martin Cederwall: 22 07.12417 and work in progress.\n\nMeeting ID: 925 4420 8640 Passcode: 1230 89\n LOCATION:https://researchseminars.org/talk/RLRT23/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Zhao Kaiming (Wilfrid Laurier University\, Canada) DTSTART:20230901T130000Z DTEND:20230901T133000Z DTSTAMP:20260422T212731Z UID:RLRT23/8 DESCRIPTION:Title: S mooth representations of affine Lie algebras\nby Zhao Kaiming (Wilfrid Laurier University\, Canada) as part of Representations of Lie Superalgeb ras and Related Topics\n\n\nAbstract\nIn this talk\, I will provide a meth od to construct a class of simple smooth weight modules over affine Lie al gebras which are not highest weight modules. Such simple modules over the Virasoro algebra or the Neveu-Schwarz superalgebra do not exist.\n\nMeetin g ID: 925 4420 8640 Passcode: 123089\n LOCATION:https://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:20260422T212731Z UID:RLRT23/9 DESCRIPTION:Title: W eight modules of Lie superalgebras at infinity\nby Grantcharov Dimitar (University of Texas at Arlington\, United States of America) as part of Representations of Lie Superalgebras and Related Topics\n\n\nAbstract\nIn this talk we will discuss bounded weight modules\, i.e.\, modules that dec ompose as direct sums of weight spaces and whose sets of weight multiplici ties are uniformly bounded. Our main focus will be on the direct limits of classical Lie (super)algebras. In particular\, we will present the classi fication of the simple bounded weight modules over $\\mathfrak{sl} (\\inft y)$\, $\\mathfrak{o} (\\infty)$\, $\\mathfrak{sp} (\\infty)$\, as well as over their super-analogs. A key role in the study plays the theory of weig ht modules over Weyl and Clifford superalgebras of infinitely many variabl es. The talk is based on joint works with I. Penkov and V. Serganova.\n\nM eeting ID: 925 4420 8640 Passcode: 123089\n LOCATION:https://researchseminars.org/talk/RLRT23/9/ END:VEVENT END:VCALENDAR