MSRI/Evans Lecture Series: "Hall algebras and wall-crossing"
Tom Bridgeland (University of Sheffield)
MSRI: Simons Auditorium
The Hall algebra construction goes back to work of Steinitz in the early years of the last century. In the 1990s Ringel used the same construction as an approach to quantum groups. More recently, Joyce, Kontsevich, Soibelman and others have used Hall algebras as a tool for studying wall-crossing phenomena.
Following Reineke I will explain how this works in the down-to-earth setting of representations of quivers, where all the key ideas can already be seen.