Workshop on Quiver Grassmannians and their Applications

University of Wuppertal, Germany

Tuesday 21st March - Friday 24th Match 2017


The idea of the workshop is to bring together experts working on the geometry of quiver Grassmannians and/or applying quiver Grassmannians to representation theory and cluster algebra theory. But we also want to encourage mathematicians who want to learn more about this subject to participate. There will be introductory talks by Giovanni Cerulli Irelli and Dylan Rupel. The number of talks will be kept low to allow for ample time for discussions.


Speakers include:
Giovanni Cerulli Irelli
Frédéric Chapoton
Evgeny Feigin
Hans Franzen
Lutz Hille
Andrew Hubery
Igor Makhlin
David Pescod
Dylan Rupel
Julia Sauter

Organisers: Oliver Lorscheid (oliver<at>impa.br), Markus Reineke (markus.reineke<at>ruhr-uni-bochum.de), Thorsten Weist (weist<at>uni-wuppertal.de)

If you like to participate, please send an email to one of the organisers.

Talks and abstracts

Frédéric Chapoton: Tree-shaped quivers and their cluster varieties


I will explain my work on the cluster varieties that can be attached to quivers that are trees, in particular about their number of points over finite fields and their cohomology.

Lutz Hille:
Moduli Spaces of Quiver Representations, Inverse Limits, and Quiver Grassmannians

Igor Makhlin: Recent results on FFLV bases and FFLV polytopes


Integer points in Feigin-Fourier-Littelmann-Vinberg polytopes enumerate certain monomial bases in irreducible representations of type A and type C Lie algebras. These structures are closely related to the so-called Abelian degenerations of flag varieties that, in turn, constitute quiver Grassmannians. I will describe some recent progress in the study of FFLV bases and FFLV polytopes as well as the possible implications for the geometry of degenerate flag varieties. (Based on papers arXiv:1604.08844 and arXiv:1610.07984.)