Search

Workshop

Decomposing quiver moduli - a QuiverTools showcase

  • Gianni Petrella (University of Luxembourg, Luxembourg)
E1 05 (Leibniz-Saal)

Abstract

We consider the moduli space of stable representations of a quiver and find a partial analogue of the semiorthogonal decomposition of the moduli space of vector bundles on curves.

More precisely, we embed several copies of the derived category of a quiver and certain line bundles in the derived category of an associated moduli space of representations, and show by explicit computations their semiorthogonality. This gives the start of a semiorthogonal decomposition.

Our results are obtained with QuiverTools, an open-source package of tools for quiver representations, their moduli spaces and their geometrical properties.

conference
29.07.24 02.08.24

MEGA 2024

MPI für Mathematik in den Naturwissenschaften Leipzig (Leipzig) E1 05 (Leibniz-Saal)
Universität Leipzig (Leipzig) Felix-Klein-Hörsaal

Mirke Olschewski

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Saskia Gutzschebauch

Max Planck Institute for Mathematics in the Sciences Contact via Mail

Christian Lehn

Ruhr-Universität Bochum

Irem Portakal

Max Planck Institute for Mathematics in the Sciences

Rainer Sinn

Universität Leipzig

Bernd Sturmfels

Max Planck Institute for Mathematics in the Sciences

Simon Telen

Max Planck Institute for Mathematics in the Sciences

Upcoming Events of this Conference