Seminar series
Date
Fri, 20 May 2016
10:00
10:00
Location
N3.12
Speaker
Adam Gal
Organisation
Oxford University
Hall algebras are a deformation of the K-group (Grothendieck group) of an abelian category, which encode some information about non-trivial extensions in the category.
A main feature of Hall algebras is that in addition to the product (which deforms the product in the K-group) there is a natural coproduct, which in certain cases makes the Hall algebra a (braided) bi-algebra. This is the content of Green's theorem and supplies the main ingredient in a construction of quantum groups.