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:20260422T212609Z UID:QRST_Conference/1 DESCRIPTION:Title: Bivariate continuous q-Hermite polynomials and deformed quantum Se rre relations.\nby Stefan Kolb (Newcastle University) as part of Quant um Groups\, Representation Theory\, Superalgebras\, and Tensor Categories\ n\n\nAbstract\nIn this talk I will explain how quantum symmetric pairs nat urally give rise to a new family of bivariate continuous q-Hermite polynom ials. The main tool is a star-product method which interprets the coideal subalgebras in the theory of quantum symmetric pairs as deformations of pa rtial quantum parabolic subalgebras. It turns out that the defining relati ons for quantum symmetric pairs can be expressed in terms of continuous q- Hermite polynomials. The talk is based on joint work with Riley Casper and Milen Yakimov.\n LOCATION:https://researchseminars.org/talk/QRST_Conference/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Jasper Stokman (University of Amsterdam) DTSTART:20200821T145000Z DTEND:20200821T152000Z DTSTAMP:20260422T212609Z UID:QRST_Conference/2 DESCRIPTION:Title: N-point spherical functions.\nby Jasper Stokman (University of Amsterdam) as part of Quantum Groups\, Representation Theory\, Superalgeb ras\, and Tensor Categories\n\n\nAbstract\nI will apply ideas from boundar y Wess-Zumino-Witten conformal field theory to harmonic analysis on split real semisimple Lie groups. It leads to the introduction of N-point spheri cal functions as the appropriate analogues of N-point correlation function s for chiral vertex operators. I will show that N-point spherical function s solve a consistent system of first order differential equations. Various other properties of N-point spherical functions will be highlighted.\nThi s is joint work with N. Reshetikhin.\n LOCATION:https://researchseminars.org/talk/QRST_Conference/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Vera Serganova (UC Berkeley) DTSTART:20200820T164000Z DTEND:20200820T171000Z DTSTAMP:20260422T212609Z UID:QRST_Conference/3 DESCRIPTION:Title: Representation of super Yangians of type Q.\nby Vera Serganova (UC Berkeley) as part of Quantum Groups\, Representation Theory\, Superal gebras\, and Tensor Categories\n\n\nAbstract\nThe talk concerns classifica tion of finite-dimensional\nirreducible representations of the Yangians a ssociated with the Lie\nsuperalgebras Q(n)\, introduced by Nazarov.\nWe pr esent a complete classification for the case n=1 and some initial\nsteps f or solving the problem for n>1. (joint with E. Poletaeva)\n LOCATION:https://researchseminars.org/talk/QRST_Conference/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Alistair Savage (University of Ottawa) DTSTART:20200822T140000Z DTEND:20200822T143000Z DTSTAMP:20260422T212609Z UID:QRST_Conference/4 DESCRIPTION:Title: Categorical comultiplication\nby Alistair Savage (University o f Ottawa) as part of Quantum Groups\, Representation Theory\, Superalgebra s\, and Tensor Categories\n\n\nAbstract\nWe will describe an analogue of c omultiplication for certain monoidal categories. We will start with simpl e examples categorifying the standard comultiplication for symmetric funct ions\, before treating Heisenberg categories. We will then explain how ca tegorical comultiplication is a very useful tool for proving basis theorem s for monoidal categories.\n LOCATION:https://researchseminars.org/talk/QRST_Conference/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Alexander Sherman (UC Berkeley) DTSTART:20200822T154000Z DTEND:20200822T161000Z DTSTAMP:20260422T212609Z UID:QRST_Conference/5 DESCRIPTION:Title: Ghost Distributions on Supersymmetric Spaces.\nby Alexander Sh erman (UC Berkeley) as part of Quantum Groups\, Representation Theory\, Su peralgebras\, and Tensor Categories\n\n\nAbstract\nWe introduce ghost dist ributions on a supersymmetric space. They generalize the ghost centre of the enveloping algebra of a Lie superalgebra\, as defined by Maria Gorelik \, to supersymmetric pairs. Ghost distributions are invariant under a cer tain Lie superalgebra\, and can be identified\, as a vector space\, with t he invariant differential operators of the underlying symmetric space. We discuss what is known about the image of these distributions under the Ha rish-Chandra homomorphism\, and what representation-theoretic implications it has. Finally\, we mention when and how one can lift these distributio ns to (differential) operators on the supersymmetric space.\n LOCATION:https://researchseminars.org/talk/QRST_Conference/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Huanchen Bao (National University of Singapore) DTSTART:20200823T140000Z DTEND:20200823T143000Z DTSTAMP:20260422T212609Z UID:QRST_Conference/6 DESCRIPTION:Title: Flag manifolds over semifields.\nby Huanchen Bao (National Uni versity of Singapore) as part of Quantum Groups\, Representation Theory\, Superalgebras\, and Tensor Categories\n\n\nAbstract\nThe study of totally positive matrices\, i.e.\, matrices with positive minors\, dates back to 1 930s. The theory was generalised by Lustig to arbitrary reductive groups using canonical bases\, and has significant impacts on the theory of clus ter algebras\, totally positive flag manifolds\, etc. In this talk\, we re view basics of total positivity and explain its generalization to general semifields. This is based on joint work with Xuhua He.\n LOCATION:https://researchseminars.org/talk/QRST_Conference/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Bogdan Ion (University of Pittsburgh) DTSTART:20200823T154000Z DTEND:20200823T161000Z DTSTAMP:20260422T212609Z UID:QRST_Conference/7 DESCRIPTION:Title: Stable DAHA’s and the double Dyck path algebra.\nby Bogdan I on (University of Pittsburgh) as part of Quantum Groups\, Representation T heory\, Superalgebras\, and Tensor Categories\n\n\nAbstract\nThe double Dy ck path algebra (ddpa) is the algebraic structure that governs the phenome na behind the shuffle and rational shuffle conjectures. I was introduced b y Carlsson and Mellit as the key character in their proof of the shuffle c onjecture and later Mellit used it to give a proof of the rational shuffle conjecture. While the structure emerged from their considerations and com putational experiments while attacking the conjecture\, it bears some rese mblance to the structure of a double affine Hecke algebra (daha) of type A . Carlsson and Mellit mentioned the clarification of the precise relations hip as an open problem. I will explain how the entire structure emerges naturally and canonically from a stable limit of the family of $GL_n$ daha ’s. From this perspective a new commutative family of operators emerges. Their spectral properties are still to be explored. This is joint work wi th Dongyu Wu.\n LOCATION:https://researchseminars.org/talk/QRST_Conference/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Shira Reif (Bar Ilan University) DTSTART:20200821T140000Z DTEND:20200821T143000Z DTSTAMP:20260422T212609Z UID:QRST_Conference/8 DESCRIPTION:Title: Denominator identities for the periplectic Lie superalgebra p(n).< /a>\nby Shira Reif (Bar Ilan University) as part of Quantum Groups\, Repre sentation Theory\, Superalgebras\, and Tensor Categories\n\n\nAbstract\nWe will present the denominator identities for the periplectic Lie superalge bras and discuss their relations to representations of p(n) and gl(n). Joi nt work with Crystal Hoyt and Mee Seong Im.\n LOCATION:https://researchseminars.org/talk/QRST_Conference/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Ben Webster (University of Waterloo) DTSTART:20200820T145000Z DTEND:20200820T152000Z DTSTAMP:20260422T212609Z UID:QRST_Conference/9 DESCRIPTION:Title: Tensor products and categorification\nby Ben Webster (Universi ty of Waterloo) as part of Quantum Groups\, Representation Theory\, Supera lgebras\, and Tensor Categories\n\n\nAbstract\nOne key tool in understandi ng categories of representations of Lie (super)algebras and quantum groups is how the fun tour of tensor product with finite dimensional representat ions behaves. I’ll first explain how my work as well as that of many ot hers has led to a good understanding of this in the type A case\, and then say a few words about how we might generalize to BCD types.\n LOCATION:https://researchseminars.org/talk/QRST_Conference/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Johannes Flake (Aachen University) DTSTART:20200823T145000Z DTEND:20200823T152000Z DTSTAMP:20260422T212609Z UID:QRST_Conference/10 DESCRIPTION:Title: Interpolation tensor categories\, partition quantum groups\, and monoidal centers\nby Johannes Flake (Aachen University) as part of Qua ntum Groups\, Representation Theory\, Superalgebras\, and Tensor Categorie s\n\n\nAbstract\nDeligne showed that from interpolating families of repres entation categories\, one obtains interesting examples of (not necessarily abelian) tensor categories. We will review the construction and its prope rties for the family of all symmetric groups. I will then explain some joi nt work with Laura Maaßen on certain subcategories related to (partition) quantum groups\, and some joint work with Robert Laugwitz on the monoidal centers of these interpolation categories.\n LOCATION:https://researchseminars.org/talk/QRST_Conference/10/ END:VEVENT BEGIN:VEVENT SUMMARY:Vidya Venkateswaran (Centre for Communications Research) DTSTART:20200820T155000Z DTEND:20200820T162000Z DTSTAMP:20260422T212609Z UID:QRST_Conference/11 DESCRIPTION:Title: Quasi-polynomial representations of double affine Hecke algebras< /a>\nby Vidya Venkateswaran (Centre for Communications Research) as part o f Quantum Groups\, Representation Theory\, Superalgebras\, and Tensor Cate gories\n\n\nAbstract\nIn the 1990's\, Cherednik introduced a Y-induced\, c yclic representation of the double affine Hecke algebra on the space of po lynomials\, the so-called basic representation. In addition to its import ance in the representation theory of DAHA\, this representation plays an i ntegral role in the theory of Macdonald polynomials. \n\nIn this talk\, w e present a generalization of this picture. We study a class of $Y$-induc ed cyclic representations of DAHA\, and show that they admit explicit real izations on the space of quasi-polynomials. We establish several properti es about these representations\, which parallel the basic representation\, and we define a new family of quasi-polynomials which generalize Macdonal d polynomials. We will also discuss some connections to recent work on We yl group multiple Dirichlet series and metaplectic Whittaker functions. \ n\nThis is joint work with Siddhartha Sahi and Jasper Stokman.\n LOCATION:https://researchseminars.org/talk/QRST_Conference/11/ END:VEVENT BEGIN:VEVENT SUMMARY:Henrik Gustafsson (IAS) DTSTART:20200821T154000Z DTEND:20200821T161000Z DTSTAMP:20260422T212609Z UID:QRST_Conference/12 DESCRIPTION:Title: Whittaker functions and Yang-Baxter equations\nby Henrik Gust afsson (IAS) as part of Quantum Groups\, Representation Theory\, Superalge bras\, and Tensor Categories\n\n\nAbstract\nWe will discuss connections be tween the quantum group $U_q(\\hat{\\mathfrak{gl}}(r|n))$ and Iwahori Whit taker functions on the metaplectic $n$-cover of $GL_r(F)$ where $F$ is a n on-archimedean field. In particular\, using a lattice model description we will illustrate how Yang-Baxter equations for the above quantum group rec over the recursion relations for these Whittaker functions described by me taplectic Demazure operators.\n\nBased on joint work with Ben Brubaker\, V alentin Buciumas and Daniel Bump.\n LOCATION:https://researchseminars.org/talk/QRST_Conference/12/ END:VEVENT BEGIN:VEVENT SUMMARY:Dimitar Grantcharov (UTA) DTSTART:20200822T145000Z DTEND:20200822T152000Z DTSTAMP:20260422T212609Z UID:QRST_Conference/13 DESCRIPTION:Title: Quantized enveloping superalgebra of type P\nby Dimitar Grant charov (UTA) as part of Quantum Groups\, Representation Theory\, Superalge bras\, and Tensor Categories\n\n\nAbstract\nWe will introduce a new quant ized enveloping superalgebra attached to the periplectic Lie superalgebra p(n). This quantized enveloping superalgebra is a quantization of a Lie bi superalgebra structure on p(n). Furthermore\, we will introduce the peripl ectic q-Brauer algebra and see that it admits natural centralizer properti es. This is joint work with S. Ahmed and N. Guay.\n LOCATION:https://researchseminars.org/talk/QRST_Conference/13/ END:VEVENT END:VCALENDAR