CONFERENCE

Advances in Representation Theory of Algebras: Geometry and Homology
September 4 – 8, 2017

This conference will bel be the sixth ARTA edition. The main objective is to put experts together in order to communicate and to disseminate the growing results in representation theory of finite dimensional algebras and related topics. The previous editions were held at CIMAT in Guanajuato, Mexico (2012 and 2015), Nicolaus Copernicus University, Torún, Poland (2013), LACIM in Montréal, Québec, Canada, (2014) and Universidad de Mar del Plata, Argentina (2016).

The conference will present the most recent advances from the following points of view: the classification up to Morita and derived equivalence, the Auslander-Reiten structure, the homological properties related to global dimension and cohomology, the geometry of the representations of these algebras, the combinatorial aspects of these representations, and the tilting theory.

The problems addressed during this conference will deal with the classification of crucial classes of algebras such as tame and/or self-injective ones. They will also be concerned with homological invariants of algebras such as homological dimensions and the Hochschild cohomology. The developments of Auslander-Reiten theory will be considered in relation with cluster-tilting theory and its applications. The questions will also deal with the interactions with Lie theory, invariant theory, triangulated categories, singularity theory and Cohen-Macaulay modules.

Talks will be given by leading experts as well as young researchers in this area. They are intended for the specialists of the above-mentioned topics, and for the confirmed mathematicians starting to work on these domains. Advanced Ph.D. students or Postdocs working on close areas will clearly benefit from the lectures and are welcome to attend.

Keywords: structure of finite-dimensional algebras – structure of module categories – Auslander-Reiten components – homological methods in representation theory – homological conjectures – algebras of finite global dimension – self-injective algebras – tame algebras – combinatorial aspects of representation theory – geometry of algebras and modules – homological invariants of algebras and modules – triangulated categories and tilting theory – relations of these topics with Lie theory, singularity theory, Cohen-Macaulay modules, quantum groups and other algebraic structures.

Speakers 

Edson Ribeiro Alvares (Universidade Federal do Paraná)   A generalization of quasitilted and almost hereditary algebras (pdf)
Raymundo Bautista (UNAM)   Tame-wild dichotomy for the category of filtered by standard modules for a quasi-hereditary algebra
Grzegorz Bobinski (Nicolaus Copernicus University)   Geometrically irreducible algebras
Thomas Brüstle (Bishop’s University & Sherbrooke University)   On kissing numbers and a basis for Ext1 over gentle algebras
Aslak Bakke Buan (NTNU)   From classical tilting to 2-term silting
Ilke Canakci (Durham University)   Perfect matchings and Grassmannian cluster categories
Claudia Chaio (Universidad Nacional de Mar del Plata)   On the representation type of a category of complexes of fixed size and the strong globaldimension
José Antonio de la Peña (Universidad Autonoma de Mexico)   Lehmer conjecture and algebras
Karin Erdmann (University of Oxford)   Algebras of generalized dihedral type
Ana Garcia Elsener (Universidad Nacional de Mar del Plata)   Short exact sequences and skein relations
Victoria Guazzelli (Universidad Nacional de Mar del Plata)   On tilting theory and the radical (pdf)
Osamu Iyama (Nagoya University)   Auslander-Gorenstein algebras from Serre-formal algebras via replication
Gustavo Jasso (Universität Bonn)   Triangulations of cyclic apeirotopes and higher dimensional tilting combinatorics
Alicja Jaworska-Pastuszak (Nicolaus Copernicus University)   Selfinjective algebras without short cycles of indecomposable modules
Otto Kerner (Heine Universität)   Thick subcategories of the stable category of modules over the exterior algebra
Justyna Kosakowska (Nicolaus Copernicus University)   Generic extensions and Hall polynomials for invariant subspaces of nilpotent linear operators (pdf)
Helmut Lenzing (Universität Paderborn)   Weighted projective lines and Riemann surfaces
Shiping Liu (Université de Sherbrooke)   The derived Auslander-Reiten components of an algebra with radical squared zero
Andrzej Mróz (Nicolaus Copernicus University)   Coxeter energy of graphs and algebras (pdf)
Yann Palu (UPJV – Amiens)  The non-kissing complex and tau-tilting over gentle algebras
Maria Julia Redondo (Universidad Nacional del Sur)   Cohomology of partial smash products (pdf)
Manuel Saorín (Universidad de Murcia)   Silting theory revisited (pdf)
Ralf Schiffler (University of Connecticut)   Cluster-tilted algebras and quasi-tilted algebras
Markus Schmidmeier (Florida Atlantic University)   The support of a finitely presented functor
Sibylle Schroll (University of Leicester)   Algebras and Varieties
Khrystyna Serhiyenko (University of California, Berkeley)   Mutation of Conway-Coxeter friezes
Andrzej Skowroński (Nicolaus Copernicus University)   Algebras of generalized quaternion type
Andrea Solotar (Universidad de Buenos Aires- CONICET)   Hochschild homology and cohomology of the super Jordan plane and more (pdf)
Pamela Suarez (Universidad Nacional de Mar del Plata)   On the global dimension of the endomorphism algebra of a -tilting module
Hugh Thomas (Université du Québec à Montréal)   Nilpotent endomorphisms of quiver representations and the Robinson-Schensted-Knuth correspondence
Kunio Yamagata (Tokyo University of Agriculture and Technology)   Morita algebras and canonical bimodules
Emine Yildirim (Université du Québec à Montréal)   Auslander-Reiten translation on cominuscule posets
Shijie Zhu (Northeastern University)   Dominant dimension and tilting modules
Grzegorz Zwara (​Nicolaus Copernicus University)   Tangent spaces to orbit closures for representations of Dynkin quivers (pdf)