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BEGIN:VEVENT
SUMMARY:Vanessa Miemietz (UEA)
DTSTART;VALUE=DATE-TIME:20200915T133000Z
DTEND;VALUE=DATE-TIME:20200915T143000Z
DTSTAMP;VALUE=DATE-TIME:20201029T101948Z
UID:crt2020leicester/1
DESCRIPTION:Title: Simple transitive 2-representations of Soergel bimodule
s\nby Vanessa Miemietz (UEA) as part of Categorifications in representatio
n theory 2020\n\n\nAbstract\nI will explain how to reduce the classificati
on of ‘simple’ 2-representations of the 2-category of Soergel bimodule
s in many (most) cases to the known problem of the same classification for
certain fusion categories.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Katerina Hristova (UEA)
DTSTART;VALUE=DATE-TIME:20200915T150000Z
DTEND;VALUE=DATE-TIME:20200915T154500Z
DTSTAMP;VALUE=DATE-TIME:20201029T101948Z
UID:crt2020leicester/2
DESCRIPTION:Title: 2-categories with one cell and their representations\nb
y Katerina Hristova (UEA) as part of Categorifications in representation t
heory 2020\n\n\nAbstract\nWe look at weakly fiat 2-categories with one obj
ect and one cell\, apart from possibly a cell consisting only of the ident
ity one morphism of the unique object. We explain two interesting examples
of such categories - one coming from symmetric bimodules of a finite dime
nsional basic unital algebra\, and the other constructed from the category
of A-modules\, where A has the additional property of being a Hopf algebr
a. We look at the relation between these categories and classify their sim
ple transitive 2-representations. Joint work with Vanessa Miemietz.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bethany Marsh (Leeds)
DTSTART;VALUE=DATE-TIME:20200916T090000Z
DTEND;VALUE=DATE-TIME:20200916T100000Z
DTSTAMP;VALUE=DATE-TIME:20201029T101948Z
UID:crt2020leicester/3
DESCRIPTION:Title: Categorification of the Grassmannian cluster structure\
nby Bethany Marsh (Leeds) as part of Categorifications in representation t
heory 2020\n\n\nAbstract\nThe homogeneous coordinate ring of the Grassmann
ian has a beautiful cluster algebra structure\, discovered by J. Scott. Th
is structure is described by the combinatorics of certain diagrams in a di
sk which were introduced by A. Postnikov. The aim of this talk is to give
an introduction to this cluster algebra structure and the categorification
developed by B. T. Jensen\, A. D. King and X. Su using a Frobenius catego
ry 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
END:VEVENT
BEGIN:VEVENT
SUMMARY:Matthew Pressland (Leeds)
DTSTART;VALUE=DATE-TIME:20200916T103000Z
DTEND;VALUE=DATE-TIME:20200916T111500Z
DTSTAMP;VALUE=DATE-TIME:20201029T101948Z
UID:crt2020leicester/4
DESCRIPTION:Title: Cluster categories from Postnikov diagrams\nby Matthew
Pressland (Leeds) as part of Categorifications in representation theory 20
20\n\n\nAbstract\nMany rings of interest in geometry can be equipped with
the additional combinatorial structure of a cluster algebra\, which one wo
uld like to understand representation-theoretically by means of a cluster
category. A result of Jensen\, King and Su provides such a category for th
e cluster algebra structure on the coordinate ring of the Grassmannian\, a
nd Baur\, King and Marsh show how this category is related to Postnikov di
agrams\, certain collections of oriented paths in a disc. In this talk I w
ill explain how to reverse this logic\, and use Postnikov diagrams to prod
uce cluster categories. As an application\, this allows us to categorify t
he cluster algebra structures on positroid subvarieties in the Grassmannia
n.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Jordan McMahon (Graz)
DTSTART;VALUE=DATE-TIME:20200916T133000Z
DTEND;VALUE=DATE-TIME:20200916T140000Z
DTSTAMP;VALUE=DATE-TIME:20201029T101948Z
UID:crt2020leicester/5
DESCRIPTION:Title: Categorifying maximal collections of non-k-intertwining
subsets\nby Jordan McMahon (Graz) as part of Categorifications in represe
ntation theory 2020\n\n\nAbstract\nMaximal collections of non-crossing sub
sets are an easy to understand abstraction of the triangulations of a conv
ex polygon. They have interesting combinatorics in their own right\, close
ly connected to the Grassmannian. They may be categorified through Grassma
nnian cluster algebras and cluster categories. Maximal collections of non-
k-intertwining subsets are a natural generalisation of these combinatorics
. \n\nIn the first part of this presentation we will briefly discuss (usin
g pictures) how Grassmannian cluster algebras are related to current resea
rch trends including Topological Data Analysis\, Pseudocircle arrangements
and Morsifications. Then we discuss joint work with N. Williams on a new
categorification of maximal collections of non-k-intertwining subsets usin
g higher precluster-tilting subcategories.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Ana Garcia Elsener (Mar del Plata)
DTSTART;VALUE=DATE-TIME:20200916T141000Z
DTEND;VALUE=DATE-TIME:20200916T142000Z
DTSTAMP;VALUE=DATE-TIME:20201029T101948Z
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–Yau
tilted algebras are Gorenstein and stably 3-Calabi–Yau. We show that th
e converse holds in the monomial case: a 1-Gorenstein monomial algebra and
stably 3-Calabi–Yau has to be 2-Calabi–Yau tilted\, moreover it is Ja
cobian.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Bernhard Keller (Paris)
DTSTART;VALUE=DATE-TIME:20200916T142000Z
DTEND;VALUE=DATE-TIME:20200916T143000Z
DTSTAMP;VALUE=DATE-TIME:20201029T101948Z
UID:crt2020leicester/7
DESCRIPTION:Title: Quantum Cartan matrices categorified\nby Bernhard Kelle
r (Paris) as part of Categorifications in representation theory 2020\n\n\n
Abstract\nQuantum Cartan matrices are of importance for the representation
theory of quantum affine algebras. We show how to categorify them using b
igraded 2-dimensional Ginzburg algebras. These also appear in beautiful re
cent work by Ikeda-Qiu on "quantized" Bridgeland stability conditions.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Johanne Haugland (NTNU)
DTSTART;VALUE=DATE-TIME:20200916T150000Z
DTEND;VALUE=DATE-TIME:20200916T153000Z
DTSTAMP;VALUE=DATE-TIME:20201029T101948Z
UID:crt2020leicester/8
DESCRIPTION:Title: Subcategories of n-exangulated categories\nby Johanne H
augland (NTNU) as part of Categorifications in representation theory 2020\
n\n\nAbstract\nThe notion of extriangulated categories was introduced by N
akaoka and Palu as a simultaneous generalisation of exact and triangulated
categories. Many concepts and results concerning exact and triangulated s
tructures have been unified and extended using this framework. Herschend\,
Liu and Nakaoka defined n-exangulated categories\, which is a higher dime
nsional analogue of extriangulated categories. In this talk\, we give an i
ntroduction to such categories and discuss how we can understand their sub
categories in terms of subgroups of the associated Grothendieck group.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Kaveh Mousavand (Queen's)
DTSTART;VALUE=DATE-TIME:20200916T154000Z
DTEND;VALUE=DATE-TIME:20200916T161000Z
DTSTAMP;VALUE=DATE-TIME:20201029T101948Z
UID:crt2020leicester/9
DESCRIPTION:Title: A categorification of biclosed sets of strings\nby Kave
h Mousavand (Queen's) as part of Categorifications in representation theor
y 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 string
s forms a lattice\, and moreover\, that this lattice is congruence-uniform
. Many interesting examples of finite congruence-uniform lattices may be r
epresented as the lattice of torsion classes of an associative algebra. We
introduce a generalization\, the lattice of torsion shadows\, and we prov
e 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 n
otion of wide shadows\, and prove that the shard intersection order of the
lattice of biclosed sets is isomorphic to a lattice of wide shadows.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Marta Mazzocco (Birmingham)
DTSTART;VALUE=DATE-TIME:20200917T090000Z
DTEND;VALUE=DATE-TIME:20200917T100000Z
DTSTAMP;VALUE=DATE-TIME:20201029T101948Z
UID:crt2020leicester/10
DESCRIPTION:Title: Quantum uniformisation and CY algebras\nby Marta Mazzoc
co (Birmingham) as part of Categorifications in representation theory 2020
\n\n\nAbstract\nIn this talk\, I will discuss a special class of quantum
del Pezzo surfaces. In particular I will introduce the generalised Sklyan
in-Painlevé algebra and characterise its PBW/PHS/Koszul properties. This
algebra contains as limiting cases the generalised Sklyanin algebra\, Etin
gof-Ginzburg and Etingof-Oblomkov-Rains quantum del Pezzo and the quantum
monodromy manifolds of the Painlevé equations.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Uran Meha (Lyon)
DTSTART;VALUE=DATE-TIME:20200917T103000Z
DTEND;VALUE=DATE-TIME:20200917T110000Z
DTSTAMP;VALUE=DATE-TIME:20201029T101948Z
UID:crt2020leicester/11
DESCRIPTION:Title: Coherent presentations of plactic monoids\nby Uran Meha
(Lyon) as part of Categorifications in representation theory 2020\n\n\nAb
stract\nPlactic monoids are certain monoids that codify the representation
theory of symmetrizable Kac-Moody algebras. In classical types\, these mo
noids admit finite convergent presentations\, called column presentations.
Convergence is a property of a presentation formalized in terms of rewrit
ing theory\, a computational theory that has recently found application in
categorifications of quantum groups. Here we explain results of recent wo
rk by the speaker on type C (and type A)\, where these convergent presenta
tions are extended to coherent ones by the use of rewriting theory and cer
tain new graph theoretical tools called C-trees. We note the appearance of
certain intrinsic parameters of types A and C in these coherent presentat
ions.\n
END:VEVENT
BEGIN:VEVENT
SUMMARY:Yadira Valdivieso (Leicester)
DTSTART;VALUE=DATE-TIME:20200917T111000Z
DTEND;VALUE=DATE-TIME:20200917T114000Z
DTSTAMP;VALUE=DATE-TIME:20201029T101948Z
UID:crt2020leicester/12
DESCRIPTION:Title: Skew-gentle algebras and orbifolds\nby Yadira Valdivies
o (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 c
luster algebras where they arise as Jacobian algebras of certain triangula
tions 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 term
s of graded curves in a generelised orbifold dissection with orbifold poin
ts of order two with boundary and punctures. We show that the geometric mo
del of a skew-gentle algebras is closed related to the model of the underl
ying gentle algebra defined in joint work with Opper-Plamondon-Schroll and
which by work of Haiden-Katzarkov-Kontsevich and Lekili-Polishchuk is clo
sely linked with the partially wrapped Fukaya category of a surface with s
tops. This is a report on joint work with Sibylle Schroll and Daniel Labar
dini-Fragoso.\n
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