BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Stefan Kolb (Newcastle University) DTSTART:20200820T140000Z DTEND:20200820T143000Z DTSTAMP:20260404T095243Z UID:QRST_Conference/1 DESCRIPTION:Title: Bivariate continuous q-Hermite polynomials and deformed qua ntum Serre relations.\nby Stefan Kolb (Newcastle University) as part o f Quantum Groups\, Representation Theory\, Superalgebras\, and Tensor Cate gories\n\n\nAbstract\nIn this talk I will explain how quantum symmetric pa irs naturally give rise to a new family of bivariate continuous q-Hermite polynomials. The main tool is a star-product method which interprets the c oideal subalgebras in the theory of quantum symmetric pairs as deformation s of partial quantum parabolic subalgebras. It turns out that the defining relations for quantum symmetric pairs can be expressed in terms of contin uous q-Hermite polynomials. The talk is based on joint work with Riley Cas per and Milen Yakimov.\n LOCATION:https://stable.researchseminars.org/talk/QRST_Conference/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Jasper Stokman (University of Amsterdam) DTSTART:20200821T145000Z DTEND:20200821T152000Z DTSTAMP:20260404T095243Z UID:QRST_Conference/2 DESCRIPTION:Title: N-point spherical functions.\nby Jasper Stokman (Univer sity of Amsterdam) as part of Quantum Groups\, Representation Theory\, Sup eralgebras\, and Tensor Categories\n\n\nAbstract\nI will apply ideas from boundary Wess-Zumino-Witten conformal field theory to harmonic analysis on split real semisimple Lie groups. It leads to the introduction of N-point spherical functions as the appropriate analogues of N-point correlation f unctions for chiral vertex operators. I will show that N-point spherical f unctions solve a consistent system of first order differential equations. Various other properties of N-point spherical functions will be highlighte d.\nThis is joint work with N. Reshetikhin.\n LOCATION:https://stable.researchseminars.org/talk/QRST_Conference/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Vera Serganova (UC Berkeley) DTSTART:20200820T164000Z DTEND:20200820T171000Z DTSTAMP:20260404T095243Z UID:QRST_Conference/3 DESCRIPTION:Title: Representation of super Yangians of type Q.\nby Vera Se rganova (UC Berkeley) as part of Quantum Groups\, Representation Theory\, Superalgebras\, and Tensor Categories\n\n\nAbstract\nThe talk concerns cla ssification of finite-dimensional\nirreducible representations of the Yan gians associated with the Lie\nsuperalgebras Q(n)\, introduced by Nazarov. \nWe present a complete classification for the case n=1 and some initial\n steps for solving the problem for n>1. (joint with E. Poletaeva)\n LOCATION:https://stable.researchseminars.org/talk/QRST_Conference/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Alistair Savage (University of Ottawa) DTSTART:20200822T140000Z DTEND:20200822T143000Z DTSTAMP:20260404T095243Z UID:QRST_Conference/4 DESCRIPTION:Title: Categorical comultiplication\nby Alistair Savage (Unive rsity of Ottawa) as part of Quantum Groups\, Representation Theory\, Super algebras\, and Tensor Categories\n\n\nAbstract\nWe will describe an analog ue of comultiplication for certain monoidal categories. We will start wit h simple examples categorifying the standard comultiplication for symmetri c functions\, before treating Heisenberg categories. We will then explain how categorical comultiplication is a very useful tool for proving basis theorems for monoidal categories.\n LOCATION:https://stable.researchseminars.org/talk/QRST_Conference/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Alexander Sherman (UC Berkeley) DTSTART:20200822T154000Z DTEND:20200822T161000Z DTSTAMP:20260404T095243Z UID:QRST_Conference/5 DESCRIPTION:Title: Ghost Distributions on Supersymmetric Spaces.\nby Alexa nder Sherman (UC Berkeley) as part of Quantum Groups\, Representation Theo ry\, Superalgebras\, and Tensor Categories\n\n\nAbstract\nWe introduce gho st distributions on a supersymmetric space. They generalize the ghost cen tre of the enveloping algebra of a Lie superalgebra\, as defined by Maria Gorelik\, to supersymmetric pairs. Ghost distributions are invariant unde r a certain Lie superalgebra\, and can be identified\, as a vector space\, with the invariant differential operators of the underlying symmetric spa ce. We discuss what is known about the image of these distributions under the Harish-Chandra homomorphism\, and what representation-theoretic impli cations it has. Finally\, we mention when and how one can lift these dist ributions to (differential) operators on the supersymmetric space.\n LOCATION:https://stable.researchseminars.org/talk/QRST_Conference/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Huanchen Bao (National University of Singapore) DTSTART:20200823T140000Z DTEND:20200823T143000Z DTSTAMP:20260404T095243Z UID:QRST_Conference/6 DESCRIPTION:Title: Flag manifolds over semifields.\nby Huanchen Bao (Natio nal University of Singapore) as part of Quantum Groups\, Representation Th eory\, Superalgebras\, and Tensor Categories\n\n\nAbstract\nThe study of t otally positive matrices\, i.e.\, matrices with positive minors\, dates ba ck to 1930s. The theory was generalised by Lustig to arbitrary reductive groups using canonical bases\, and has significant impacts on the theory of cluster algebras\, totally positive flag manifolds\, etc. In this talk\ , we review basics of total positivity and explain its generalization to g eneral semifields. This is based on joint work with Xuhua He.\n LOCATION:https://stable.researchseminars.org/talk/QRST_Conference/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Bogdan Ion (University of Pittsburgh) DTSTART:20200823T154000Z DTEND:20200823T161000Z DTSTAMP:20260404T095243Z UID:QRST_Conference/7 DESCRIPTION:Title: Stable DAHA’s and the double Dyck path algebra.\nby B ogdan Ion (University of Pittsburgh) as part of Quantum Groups\, Represent ation Theory\, Superalgebras\, and Tensor Categories\n\n\nAbstract\nThe do uble Dyck path algebra (ddpa) is the algebraic structure that governs the phenomena behind the shuffle and rational shuffle conjectures. I was intro duced by Carlsson and Mellit as the key character in their proof of the sh uffle conjecture and later Mellit used it to give a proof of the rational shuffle conjecture. While the structure emerged from their considerations and computational experiments while attacking the conjecture\, it bears so me resemblance to the structure of a double affine Hecke algebra (daha) of type A. Carlsson and Mellit mentioned the clarification of the precise re lationship as an open problem. I will explain how the entire structure e merges naturally and canonically from a stable limit of the family of $GL_ n$ daha’s. From this perspective a new commutative family of operators e merges. Their spectral properties are still to be explored. This is joint work with Dongyu Wu.\n LOCATION:https://stable.researchseminars.org/talk/QRST_Conference/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Shira Reif (Bar Ilan University) DTSTART:20200821T140000Z DTEND:20200821T143000Z DTSTAMP:20260404T095243Z UID:QRST_Conference/8 DESCRIPTION:Title: Denominator identities for the periplectic Lie superalgebra p(n).\nby Shira Reif (Bar Ilan University) as part of Quantum Groups\ , Representation Theory\, Superalgebras\, and Tensor Categories\n\n\nAbstr act\nWe will present the denominator identities for the periplectic Lie su peralgebras and discuss their relations to representations of p(n) and gl( n). Joint work with Crystal Hoyt and Mee Seong Im.\n LOCATION:https://stable.researchseminars.org/talk/QRST_Conference/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Ben Webster (University of Waterloo) DTSTART:20200820T145000Z DTEND:20200820T152000Z DTSTAMP:20260404T095243Z UID:QRST_Conference/9 DESCRIPTION:Title: Tensor products and categorification\nby Ben Webster (U niversity of Waterloo) as part of Quantum Groups\, Representation Theory\, Superalgebras\, and Tensor Categories\n\n\nAbstract\nOne key tool in unde rstanding categories of representations of Lie (super)algebras and quantum groups is how the fun tour of tensor product with finite dimensional repr esentations behaves. I’ll first explain how my work as well as that of many others has led to a good understanding of this in the type A case\, a nd then say a few words about how we might generalize to BCD types.\n LOCATION:https://stable.researchseminars.org/talk/QRST_Conference/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Johannes Flake (Aachen University) DTSTART:20200823T145000Z DTEND:20200823T152000Z DTSTAMP:20260404T095243Z UID:QRST_Conference/10 DESCRIPTION:Title: Interpolation tensor categories\, partition quantum groups \, and monoidal centers\nby Johannes Flake (Aachen University) as part of Quantum Groups\, Representation Theory\, Superalgebras\, and Tensor Ca tegories\n\n\nAbstract\nDeligne showed that from interpolating families of representation categories\, one obtains interesting examples of (not nece ssarily abelian) tensor categories. We will review the construction and it s properties for the family of all symmetric groups. I will then explain s ome joint work with Laura Maaßen on certain subcategories related to (par tition) quantum groups\, and some joint work with Robert Laugwitz on the m onoidal centers of these interpolation categories.\n LOCATION:https://stable.researchseminars.org/talk/QRST_Conference/10/ END:VEVENT BEGIN:VEVENT SUMMARY:Vidya Venkateswaran (Centre for Communications Research) DTSTART:20200820T155000Z DTEND:20200820T162000Z DTSTAMP:20260404T095243Z UID:QRST_Conference/11 DESCRIPTION:Title: Quasi-polynomial representations of double affine Hecke al gebras\nby Vidya Venkateswaran (Centre for Communications Research) as part of Quantum Groups\, Representation Theory\, Superalgebras\, and Tens or Categories\n\n\nAbstract\nIn the 1990's\, Cherednik introduced a Y-indu ced\, cyclic representation of the double affine Hecke algebra on the spac e of polynomials\, the so-called basic representation. In addition to its importance in the representation theory of DAHA\, this representation pla ys an integral role in the theory of Macdonald polynomials. \n\nIn this t alk\, we present a generalization of this picture. We study a class of $Y $-induced cyclic representations of DAHA\, and show that they admit explic it realizations on the space of quasi-polynomials. We establish several p roperties about these representations\, which parallel the basic represent ation\, and we define a new family of quasi-polynomials which generalize M acdonald polynomials. We will also discuss some connections to recent wor k on Weyl group multiple Dirichlet series and metaplectic Whittaker functi ons. \n\nThis is joint work with Siddhartha Sahi and Jasper Stokman.\n LOCATION:https://stable.researchseminars.org/talk/QRST_Conference/11/ END:VEVENT BEGIN:VEVENT SUMMARY:Henrik Gustafsson (IAS) DTSTART:20200821T154000Z DTEND:20200821T161000Z DTSTAMP:20260404T095243Z UID:QRST_Conference/12 DESCRIPTION:Title: Whittaker functions and Yang-Baxter equations\nby Henr ik Gustafsson (IAS) as part of Quantum Groups\, Representation Theory\, Su peralgebras\, and Tensor Categories\n\n\nAbstract\nWe will discuss connect ions between the quantum group $U_q(\\hat{\\mathfrak{gl}}(r|n))$ and Iwaho ri Whittaker functions on the metaplectic $n$-cover of $GL_r(F)$ where $F$ is a non-archimedean field. In particular\, using a lattice model descrip tion we will illustrate how Yang-Baxter equations for the above quantum gr oup recover the recursion relations for these Whittaker functions describe d by metaplectic Demazure operators.\n\nBased on joint work with Ben Bruba ker\, Valentin Buciumas and Daniel Bump.\n LOCATION:https://stable.researchseminars.org/talk/QRST_Conference/12/ END:VEVENT BEGIN:VEVENT SUMMARY:Dimitar Grantcharov (UTA) DTSTART:20200822T145000Z DTEND:20200822T152000Z DTSTAMP:20260404T095243Z UID:QRST_Conference/13 DESCRIPTION:Title: Quantized enveloping superalgebra of type P\nby Dimita r Grantcharov (UTA) as part of Quantum Groups\, Representation Theory\, Su peralgebras\, and Tensor Categories\n\n\nAbstract\nWe will introduce a ne w quantized enveloping superalgebra attached to the periplectic Lie supera lgebra p(n). This quantized enveloping superalgebra is a quantization of a Lie bisuperalgebra structure on p(n). Furthermore\, we will introduce the periplectic q-Brauer algebra and see that it admits natural centralizer p roperties. This is joint work with S. Ahmed and N. Guay.\n LOCATION:https://stable.researchseminars.org/talk/QRST_Conference/13/ END:VEVENT END:VCALENDAR