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:20260422T213052Z UID:crt2020leicester/1 DESCRIPTION:Title: Simple transitive 2-representations of Soergel bimodules\nby Vanessa Miemietz (UEA) as part of Categorifications in representation theo ry 2020\n\n\nAbstract\nI will explain how to reduce the classification of ‘simple’ 2-representations of the 2-category of Soergel bimodules in m any (most) cases to the known problem of the same classification for certa in fusion categories.\n LOCATION:https://researchseminars.org/talk/crt2020leicester/1/ END:VEVENT BEGIN:VEVENT SUMMARY:Katerina Hristova (UEA) DTSTART:20200915T150000Z DTEND:20200915T154500Z DTSTAMP:20260422T213052Z UID:crt2020leicester/2 DESCRIPTION:Title: 2-categories with one cell and their representations\nby Kate rina Hristova (UEA) as part of Categorifications in representation theory 2020\n\n\nAbstract\nWe look at weakly fiat 2-categories with one object an d one cell\, apart from possibly a cell consisting only of the identity on e morphism of the unique object. We explain two interesting examples of su ch categories - one coming from symmetric bimodules of a finite dimensiona l basic unital algebra\, and the other constructed from the category of A- modules\, where A has the additional property of being a Hopf algebra. We look at the relation between these categories and classify their simple tr ansitive 2-representations. Joint work with Vanessa Miemietz.\n LOCATION:https://researchseminars.org/talk/crt2020leicester/2/ END:VEVENT BEGIN:VEVENT SUMMARY:Bethany Marsh (Leeds) DTSTART:20200916T090000Z DTEND:20200916T100000Z DTSTAMP:20260422T213052Z UID:crt2020leicester/3 DESCRIPTION:Title: Categorification of the Grassmannian cluster structure\nby Be thany Marsh (Leeds) as part of Categorifications in representation theory 2020\n\n\nAbstract\nThe homogeneous coordinate ring of the Grassmannian ha s a beautiful cluster algebra structure\, discovered by J. Scott. This str ucture is described by the combinatorics of certain diagrams in a disk whi ch were introduced by A. Postnikov. The aim of this talk is to give an int roduction to this cluster algebra structure and the categorification devel oped by B. T. Jensen\, A. D. King and X. Su using a Frobenius category of maximal Cohen-Macaulay modules. I will also discuss the relationship with dimer models developed in joint work with K. Baur and A. D. King.\n LOCATION:https://researchseminars.org/talk/crt2020leicester/3/ END:VEVENT BEGIN:VEVENT SUMMARY:Matthew Pressland (Leeds) DTSTART:20200916T103000Z DTEND:20200916T111500Z DTSTAMP:20260422T213052Z UID:crt2020leicester/4 DESCRIPTION:Title: Cluster categories from Postnikov diagrams\nby Matthew Pressl and (Leeds) as part of Categorifications in representation theory 2020\n\n \nAbstract\nMany rings of interest in geometry can be equipped with the ad ditional combinatorial structure of a cluster algebra\, which one would li ke to understand representation-theoretically by means of a cluster catego ry. A result of Jensen\, King and Su provides such a category for the clus ter algebra structure on the coordinate ring of the Grassmannian\, and Bau r\, King and Marsh show how this category is related to Postnikov diagrams \, certain collections of oriented paths in a disc. In this talk I will ex plain how to reverse this logic\, and use Postnikov diagrams to produce cl uster categories. As an application\, this allows us to categorify the clu ster algebra structures on positroid subvarieties in the Grassmannian.\n LOCATION:https://researchseminars.org/talk/crt2020leicester/4/ END:VEVENT BEGIN:VEVENT SUMMARY:Jordan McMahon (Graz) DTSTART:20200916T133000Z DTEND:20200916T140000Z DTSTAMP:20260422T213052Z UID:crt2020leicester/5 DESCRIPTION:Title: Categorifying maximal collections of non-k-intertwining subsets\nby Jordan McMahon (Graz) as part of Categorifications in representatio n theory 2020\n\n\nAbstract\nMaximal collections of non-crossing subsets a re an easy to understand abstraction of the triangulations of a convex pol ygon. They have interesting combinatorics in their own right\, closely con nected to the Grassmannian. They may be categorified through Grassmannian cluster algebras and cluster categories. Maximal collections of non-k-inte rtwining subsets are a natural generalisation of these combinatorics. \n\n In the first part of this presentation we will briefly discuss (using pict ures) how Grassmannian cluster algebras are related to current research tr ends including Topological Data Analysis\, Pseudocircle arrangements and M orsifications. Then we discuss joint work with N. Williams on a new catego rification of maximal collections of non-k-intertwining subsets using high er precluster-tilting subcategories.\n LOCATION:https://researchseminars.org/talk/crt2020leicester/5/ END:VEVENT BEGIN:VEVENT SUMMARY:Ana Garcia Elsener (Mar del Plata) DTSTART:20200916T141000Z DTEND:20200916T142000Z DTSTAMP:20260422T213052Z UID:crt2020leicester/6 DESCRIPTION:Title: Monomial Jacobian algebras\nby Ana Garcia Elsener (Mar del Pl ata) as part of Categorifications in representation theory 2020\n\n\nAbstr act\nA celebrated result by Keller–Reiten says that 2-Calabi–Yau tilte d algebras are Gorenstein and stably 3-Calabi–Yau. We show that the conv erse holds in the monomial case: a 1-Gorenstein monomial algebra and stabl y 3-Calabi–Yau has to be 2-Calabi–Yau tilted\, moreover it is Jacobian .\n LOCATION:https://researchseminars.org/talk/crt2020leicester/6/ END:VEVENT BEGIN:VEVENT SUMMARY:Bernhard Keller (Paris) DTSTART:20200916T142000Z DTEND:20200916T143000Z DTSTAMP:20260422T213052Z UID:crt2020leicester/7 DESCRIPTION:Title: Quantum Cartan matrices categorified\nby Bernhard Keller (Par is) as part of Categorifications in representation theory 2020\n\n\nAbstra ct\nQuantum Cartan matrices are of importance for the representation theor y of quantum affine algebras. We show how to categorify them using bigrade d 2-dimensional Ginzburg algebras. These also appear in beautiful recent w ork by Ikeda-Qiu on "quantized" Bridgeland stability conditions.\n LOCATION:https://researchseminars.org/talk/crt2020leicester/7/ END:VEVENT BEGIN:VEVENT SUMMARY:Johanne Haugland (NTNU) DTSTART:20200916T150000Z DTEND:20200916T153000Z DTSTAMP:20260422T213052Z UID:crt2020leicester/8 DESCRIPTION:Title: Subcategories of n-exangulated categories\nby Johanne Hauglan d (NTNU) as part of Categorifications in representation theory 2020\n\n\nA bstract\nThe notion of extriangulated categories was introduced by Nakaoka and Palu as a simultaneous generalisation of exact and triangulated categ ories. Many concepts and results concerning exact and triangulated structu res have been unified and extended using this framework. Herschend\, Liu a nd Nakaoka defined n-exangulated categories\, which is a higher dimensiona l analogue of extriangulated categories. In this talk\, we give an introdu ction to such categories and discuss how we can understand their subcatego ries in terms of subgroups of the associated Grothendieck group.\n LOCATION:https://researchseminars.org/talk/crt2020leicester/8/ END:VEVENT BEGIN:VEVENT SUMMARY:Kaveh Mousavand (Queen's) DTSTART:20200916T154000Z DTEND:20200916T161000Z DTSTAMP:20260422T213052Z UID:crt2020leicester/9 DESCRIPTION:Title: A categorification of biclosed sets of strings\nby Kaveh Mous avand (Queen's) as part of Categorifications in representation theory 2020 \n\n\nAbstract\nFor any gentle algebra of finite representation type\, one can consider the closure space on the set of strings. Palu\, Pilaud\, and Plamondon proved that the collection of all biclosed sets of strings form s a lattice\, and moreover\, that this lattice is congruence-uniform. Many interesting examples of finite congruence-uniform lattices may be represe nted as the lattice of torsion classes of an associative algebra. We intro duce a generalization\, the lattice of torsion shadows\, and we prove that the lattice of biclosed sets of strings is isomorphic to a lattice of tor sion shadows.\n\nIf time permits\, we also introduce the analogous notion of wide shadows\, and prove that the shard intersection order of the latti ce of biclosed sets is isomorphic to a lattice of wide shadows.\n LOCATION:https://researchseminars.org/talk/crt2020leicester/9/ END:VEVENT BEGIN:VEVENT SUMMARY:Marta Mazzocco (Birmingham) DTSTART:20200917T090000Z DTEND:20200917T100000Z DTSTAMP:20260422T213052Z UID:crt2020leicester/10 DESCRIPTION:Title: Quantum uniformisation and CY algebras\nby Marta Mazzocco (B irmingham) as part of Categorifications in representation theory 2020\n\n\ nAbstract\nIn this talk\, I will discuss a special class of quantum del P ezzo surfaces. In particular I will introduce the generalised Sklyanin-Pa inlevé algebra and characterise its PBW/PHS/Koszul properties. This algeb ra contains as limiting cases the generalised Sklyanin algebra\, Etingof-G inzburg and Etingof-Oblomkov-Rains quantum del Pezzo and the quantum monod romy manifolds of the Painlevé equations.\n LOCATION:https://researchseminars.org/talk/crt2020leicester/10/ END:VEVENT BEGIN:VEVENT SUMMARY:Uran Meha (Lyon) DTSTART:20200917T103000Z DTEND:20200917T110000Z DTSTAMP:20260422T213052Z UID:crt2020leicester/11 DESCRIPTION:Title: Coherent presentations of plactic monoids\nby Uran Meha (Lyo n) as part of Categorifications in representation theory 2020\n\n\nAbstrac t\nPlactic monoids are certain monoids that codify the representation theo ry of symmetrizable Kac-Moody algebras. In classical types\, these monoids admit finite convergent presentations\, called column presentations. Conv ergence is a property of a presentation formalized in terms of rewriting t heory\, a computational theory that has recently found application in cate gorifications of quantum groups. Here we explain results of recent work by the speaker on type C (and type A)\, where these convergent presentations are extended to coherent ones by the use of rewriting theory and certain new graph theoretical tools called C-trees. We note the appearance of cert ain intrinsic parameters of types A and C in these coherent presentations. \n LOCATION:https://researchseminars.org/talk/crt2020leicester/11/ END:VEVENT BEGIN:VEVENT SUMMARY:Yadira Valdivieso (Leicester) DTSTART:20200917T111000Z DTEND:20200917T114000Z DTSTAMP:20260422T213052Z UID:crt2020leicester/12 DESCRIPTION:Title: Skew-gentle algebras and orbifolds\nby Yadira Valdivieso (Le icester) as part of Categorifications in representation theory 2020\n\n\nA bstract\nSkew-gentle algebras\, a generelisation of gentle algebras\, natu rally appear in many different contexts such as in the framework of cluste r algebras where they arise as Jacobian algebras of certain triangulations of surfaces with punctures. In this talk\, we will give a geometric model of the bounded derived category of a skew-gentle algebra in the terms of graded curves in a generelised orbifold dissection with orbifold points of order two with boundary and punctures. We show that the geometric model o f a skew-gentle algebras is closed related to the model of the underlying gentle algebra defined in joint work with Opper-Plamondon-Schroll and whic h by work of Haiden-Katzarkov-Kontsevich and Lekili-Polishchuk is closely linked with the partially wrapped Fukaya category of a surface with stops. This is a report on joint work with Sibylle Schroll and Daniel Labardini- Fragoso.\n LOCATION:https://researchseminars.org/talk/crt2020leicester/12/ END:VEVENT END:VCALENDAR