BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Vanessa Miemietz (UEA) DTSTART:20200915T133000Z DTEND:20200915T143000Z DTSTAMP:20260404T131141Z UID:crt2020leicester/1 DESCRIPTION:Title: Simple transitive 2-representations of Soergel bimodules\nby Vanessa Miemietz (UEA) as part of Categorifications in representati on theory 2020\n\n\nAbstract\nI will explain how to reduce the classificat ion of ‘simple’ 2-representations of the 2-category of Soergel bimodul es in many (most) cases to the known problem of the same classification fo r certain fusion categories.\n LOCATION:https://stable.researchseminars.org/talk/crt2020leicester/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Katerina Hristova (UEA) DTSTART:20200915T150000Z DTEND:20200915T154500Z DTSTAMP:20260404T131141Z UID:crt2020leicester/2 DESCRIPTION:Title: 2-categories with one cell and their representations\n by Katerina Hristova (UEA) as part of Categorifications in representation theory 2020\n\n\nAbstract\nWe look at weakly fiat 2-categories with one ob ject and one cell\, apart from possibly a cell consisting only of the iden tity one morphism of the unique object. We explain two interesting example s of such categories - one coming from symmetric bimodules of a finite dim ensional basic unital algebra\, and the other constructed from the categor y of A-modules\, where A has the additional property of being a Hopf algeb ra. We look at the relation between these categories and classify their si mple transitive 2-representations. Joint work with Vanessa Miemietz.\n LOCATION:https://stable.researchseminars.org/talk/crt2020leicester/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Bethany Marsh (Leeds) DTSTART:20200916T090000Z DTEND:20200916T100000Z DTSTAMP:20260404T131141Z UID:crt2020leicester/3 DESCRIPTION:Title: Categorification of the Grassmannian cluster structure \nby Bethany Marsh (Leeds) as part of Categorifications in representation theory 2020\n\n\nAbstract\nThe homogeneous coordinate ring of the Grassman nian has a beautiful cluster algebra structure\, discovered by J. Scott. T his structure is described by the combinatorics of certain diagrams in a d isk which were introduced by A. Postnikov. The aim of this talk is to give an introduction to this cluster algebra structure and the categorificatio n developed by B. T. Jensen\, A. D. King and X. Su using a Frobenius categ ory of maximal Cohen-Macaulay modules. I will also discuss the relationshi p with dimer models developed in joint work with K. Baur and A. D. King.\n LOCATION:https://stable.researchseminars.org/talk/crt2020leicester/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Matthew Pressland (Leeds) DTSTART:20200916T103000Z DTEND:20200916T111500Z DTSTAMP:20260404T131141Z UID:crt2020leicester/4 DESCRIPTION:Title: Cluster categories from Postnikov diagrams\nby Matthew Pressland (Leeds) as part of Categorifications in representation theory 2 020\n\n\nAbstract\nMany rings of interest in geometry can be equipped with the additional combinatorial structure of a cluster algebra\, which one w ould like to understand representation-theoretically by means of a cluster category. A result of Jensen\, King and Su provides such a category for t he cluster algebra structure on the coordinate ring of the Grassmannian\, and Baur\, King and Marsh show how this category is related to Postnikov d iagrams\, certain collections of oriented paths in a disc. In this talk I will explain how to reverse this logic\, and use Postnikov diagrams to pro duce cluster categories. As an application\, this allows us to categorify the cluster algebra structures on positroid subvarieties in the Grassmanni an.\n LOCATION:https://stable.researchseminars.org/talk/crt2020leicester/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Jordan McMahon (Graz) DTSTART:20200916T133000Z DTEND:20200916T140000Z DTSTAMP:20260404T131141Z UID:crt2020leicester/5 DESCRIPTION:Title: Categorifying maximal collections of non-k-intertwining su bsets\nby Jordan McMahon (Graz) as part of Categorifications in repres entation theory 2020\n\n\nAbstract\nMaximal collections of non-crossing su bsets are an easy to understand abstraction of the triangulations of a con vex polygon. They have interesting combinatorics in their own right\, clos ely connected to the Grassmannian. They may be categorified through Grassm annian cluster algebras and cluster categories. Maximal collections of non -k-intertwining subsets are a natural generalisation of these combinatoric s. \n\nIn the first part of this presentation we will briefly discuss (usi ng pictures) how Grassmannian cluster algebras are related to current rese arch trends including Topological Data Analysis\, Pseudocircle arrangement s and Morsifications. Then we discuss joint work with N. Williams on a new categorification of maximal collections of non-k-intertwining subsets usi ng higher precluster-tilting subcategories.\n LOCATION:https://stable.researchseminars.org/talk/crt2020leicester/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Ana Garcia Elsener (Mar del Plata) DTSTART:20200916T141000Z DTEND:20200916T142000Z DTSTAMP:20260404T131141Z UID:crt2020leicester/6 DESCRIPTION:Title: Monomial Jacobian algebras\nby Ana Garcia Elsener (Mar del Plata) as part of Categorifications in representation theory 2020\n\n \nAbstract\nA celebrated result by Keller–Reiten says that 2-Calabi–Ya u tilted algebras are Gorenstein and stably 3-Calabi–Yau. We show that t he converse holds in the monomial case: a 1-Gorenstein monomial algebra an d stably 3-Calabi–Yau has to be 2-Calabi–Yau tilted\, moreover it is J acobian.\n LOCATION:https://stable.researchseminars.org/talk/crt2020leicester/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Bernhard Keller (Paris) DTSTART:20200916T142000Z DTEND:20200916T143000Z DTSTAMP:20260404T131141Z UID:crt2020leicester/7 DESCRIPTION:Title: Quantum Cartan matrices categorified\nby Bernhard Kell er (Paris) as part of Categorifications in representation theory 2020\n\n\ nAbstract\nQuantum Cartan matrices are of importance for the representatio n theory of quantum affine algebras. We show how to categorify them using bigraded 2-dimensional Ginzburg algebras. These also appear in beautiful r ecent work by Ikeda-Qiu on "quantized" Bridgeland stability conditions.\n LOCATION:https://stable.researchseminars.org/talk/crt2020leicester/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Johanne Haugland (NTNU) DTSTART:20200916T150000Z DTEND:20200916T153000Z DTSTAMP:20260404T131141Z UID:crt2020leicester/8 DESCRIPTION:Title: Subcategories of n-exangulated categories\nby Johanne Haugland (NTNU) as part of Categorifications in representation theory 2020 \n\n\nAbstract\nThe notion of extriangulated categories was introduced by Nakaoka and Palu as a simultaneous generalisation of exact and triangulate d categories. Many concepts and results concerning exact and triangulated structures have been unified and extended using this framework. Herschend\ , Liu and Nakaoka defined n-exangulated categories\, which is a higher dim ensional analogue of extriangulated categories. In this talk\, we give an introduction to such categories and discuss how we can understand their su bcategories in terms of subgroups of the associated Grothendieck group.\n LOCATION:https://stable.researchseminars.org/talk/crt2020leicester/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Kaveh Mousavand (Queen's) DTSTART:20200916T154000Z DTEND:20200916T161000Z DTSTAMP:20260404T131141Z UID:crt2020leicester/9 DESCRIPTION:Title: A categorification of biclosed sets of strings\nby Kav eh Mousavand (Queen's) as part of Categorifications in representation theo ry 2020\n\n\nAbstract\nFor any gentle algebra of finite representation typ e\, one can consider the closure space on the set of strings. Palu\, Pilau d\, and Plamondon proved that the collection of all biclosed sets of strin gs forms a lattice\, and moreover\, that this lattice is congruence-unifor m. Many interesting examples of finite congruence-uniform lattices may be represented as the lattice of torsion classes of an associative algebra. W e introduce a generalization\, the lattice of torsion shadows\, and we pro ve that the lattice of biclosed sets of strings is isomorphic to a lattice of torsion shadows.\n\nIf time permits\, we also introduce the analogous notion of wide shadows\, and prove that the shard intersection order of th e lattice of biclosed sets is isomorphic to a lattice of wide shadows.\n LOCATION:https://stable.researchseminars.org/talk/crt2020leicester/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Marta Mazzocco (Birmingham) DTSTART:20200917T090000Z DTEND:20200917T100000Z DTSTAMP:20260404T131141Z UID:crt2020leicester/10 DESCRIPTION:Title: Quantum uniformisation and CY algebras\nby Marta Mazz occo (Birmingham) as part of Categorifications in representation theory 20 20\n\n\nAbstract\nIn this talk\, I will discuss a special class of quantu m del Pezzo surfaces. In particular I will introduce the generalised Skly anin-Painlevé algebra and characterise its PBW/PHS/Koszul properties. Thi s algebra contains as limiting cases the generalised Sklyanin algebra\, Et ingof-Ginzburg and Etingof-Oblomkov-Rains quantum del Pezzo and the quantu m monodromy manifolds of the Painlevé equations.\n LOCATION:https://stable.researchseminars.org/talk/crt2020leicester/10/ END:VEVENT BEGIN:VEVENT SUMMARY:Uran Meha (Lyon) DTSTART:20200917T103000Z DTEND:20200917T110000Z DTSTAMP:20260404T131141Z UID:crt2020leicester/11 DESCRIPTION:Title: Coherent presentations of plactic monoids\nby Uran Me ha (Lyon) as part of Categorifications in representation theory 2020\n\n\n Abstract\nPlactic monoids are certain monoids that codify the representati on theory of symmetrizable Kac-Moody algebras. In classical types\, these monoids admit finite convergent presentations\, called column presentation s. Convergence is a property of a presentation formalized in terms of rewr iting theory\, a computational theory that has recently found application in categorifications of quantum groups. Here we explain results of recent work by the speaker on type C (and type A)\, where these convergent presen tations are extended to coherent ones by the use of rewriting theory and c ertain new graph theoretical tools called C-trees. We note the appearance of certain intrinsic parameters of types A and C in these coherent present ations.\n LOCATION:https://stable.researchseminars.org/talk/crt2020leicester/11/ END:VEVENT BEGIN:VEVENT SUMMARY:Yadira Valdivieso (Leicester) DTSTART:20200917T111000Z DTEND:20200917T114000Z DTSTAMP:20260404T131141Z UID:crt2020leicester/12 DESCRIPTION:Title: Skew-gentle algebras and orbifolds\nby Yadira Valdivi eso (Leicester) as part of Categorifications in representation theory 2020 \n\n\nAbstract\nSkew-gentle algebras\, a generelisation of gentle algebras \, naturally appear in many different contexts such as in the framework of cluster algebras where they arise as Jacobian algebras of certain triangu lations of surfaces with punctures. In this talk\, we will give a geometri c model of the bounded derived category of a skew-gentle algebra in the te rms of graded curves in a generelised orbifold dissection with orbifold po ints of order two with boundary and punctures. We show that the geometric model of a skew-gentle algebras is closed related to the model of the unde rlying gentle algebra defined in joint work with Opper-Plamondon-Schroll a nd which by work of Haiden-Katzarkov-Kontsevich and Lekili-Polishchuk is c losely linked with the partially wrapped Fukaya category of a surface with stops. This is a report on joint work with Sibylle Schroll and Daniel Lab ardini-Fragoso.\n LOCATION:https://stable.researchseminars.org/talk/crt2020leicester/12/ END:VEVENT END:VCALENDAR