Computational aspects of homological algebra, group, and representation theory

ICMS 2016 Session at Zuse Institute Berlin

July 11-14, 2016

Aim and Scope

Homological algebra is a universal language with an established presence in many fields of mathematics. The session will focus on modern applications of computational homological methods to the representation theory of groups and algebras. These methods range from the computability of group, Lie algebra, and Hochschild cohomology to the constructivity of Morita, tilting, and various other equivalences of derived and differentially enriched categories. Such equivalences also connect the representation theory to equivariant coherent sheaves on varieties admitting a tilting object and hence to algebraic geometry.

Organizers

• Mohamed Barakat (University of Siegen, Germany)
• Max Horn (Justus Liebig University Giessen, Germany)