Cluster Algebras: Twenty Years On
Vingt ans d’algèbres amassées
19 – 23 March 2018
Supported by the European Research Council under the European Union’s Framework Programme H2020 with
ERC Grant Agreement number 647353 Qaffine.
Scientific Committee
Comité scientifique Sergey Fomin (University of Michigan) |
Organizing Committee
Comité d’organisation Claire Amiot (Université Grenoble Alpes) Contact the organizers: clusteralgebras20yearson@gmail.com |
Cluster algebras had tremendous developments since their introduction in the early 2000. The goal of the conference is to propose an overview of these developments and an update on the current front of research on cluster algebras and their applications. The conference will thus feature researchers with major contributions in the field (see our preliminary list of speakers).
One important aspect of cluster algebras is their connections with many different fields of mathematics and theoretical physics. Researchers thus have various point of views on cluster algebras, but seldom have the opportunity to share these variety of approaches to the subject. One of the main objective of the conference will be to allow researchers from many different fields to share their perspectives on cluster algebras. We would also like to give the opportunity to PhD students and post-docs to have an overview of (many of) those subjects related to cluster algebras. We thus plan one or two colloquium talks per day, as well as several research talks. |
La théorie des algèbres amassées a eu de nombreux développements depuis leur introduction début 2000. Notre objectif, à travers cette conférence, est de proposer un tour d’horizon de ces développements variés et une mise à jour des frontières de la recherche actuelle dans les différents domaines d’application des algèbres amassées. Les orateurs prévus pour cette conférence ont apporté des contributions majeures au domaine (voir notre liste préliminaire d’orateurs).
L’un des aspects les plus importants de la théorie des algèbres amassées est la vitesse à laquelle elle développe de nouveaux liens avec de nombreux domaines des mathématiques et de la physique théorique. Les chercheurs développent donc des approches variées aux algèbres amassées, mais ont rarement l’occasion de partager ces différents points-de-vue sur le sujet. L’un des objectifs principaux de cette conférence sera de permettre aux chercheurs de nombreux domaines différents de partager leur vision des algèbres amassées. Nous souhaitons également donner aux doctorants et post-doctorants un aperçu des nombreux domaines reliés aux algèbres amassées. Nous prévoyons donc un ou deux exposés quotidiens dans un format type colloquium, en plus des exposés de recherche. |
Anna Felikson (Durham University) Quiver mutations, reflection groups and curves on a punctured disc (pdf)
Vladimir Fock (Université de Strasbourg) Clusters and T– function
Sergey Fomin (University of Michigan) Morsifications and mutations (pdf) – VIDEO –
David Hernandez (Université Paris Diderot) Cluster algebras, Bethe Ansatz and quantum Grothendieck rings
Rei Inoue (Chiba University) R-matrices in cluster algebra
Osamu Iyama (Nagoya University) Preprojective algebras and Cluster categories – VIDEO –
Rinat Kedem (University of Illinois at Urbana-Champaign) From Q-systems to quantum affine algebras and beyond – VIDEO –
Daniel Labardini-Fragoso (UNAM, Mexico) Associative algebras arising from surfaces with orbifold points (pdf)
Robert Marsh (University of Leeds) τ -exceptional sequences
Tomoki Nakanishi (Nagoya University) Periodicities of x- and y-variables in cluster algebras
Nathan Reading (North Carolina State University) Dominance phenomena: mutation, scattering and cluster algebras (pdf)
Dylan Rupel (University of Notre Dame) Cluster Symplectic Groupoids
Ralf Schiffler (University of Connecticut) Cluster algebras and Jones polynomials
Jan Schröer (University of Bonn) Irreducible components of module varieties and cluster algebras
Michael Shapiro (Michigan State University) Cluster structures on Poisson-Lie groups
Sergei Tabachnikov (Pennsylvania State University) Cross-ratio dynamics on ideal polygons
Hugh Thomas (UQAM, Montreal) Generalized associahedra via representation theory
Gordana Todorov (Northeastern University) Homology of Picture Groups
Harold Williams (University of California at Davis) The coherent Satake category – VIDEO –
Lauren Williams (University of California at Berkeley) Newton-Okounkov bodies for Grassmannians – VIDEO –
Milen Yakimov (Louisiana State University) c-vectors of 2-Calabi-Yau categories and Borel subalgebras of sl∞