Francesco Sala - University of Pisa
Yangians and cohomological Hall algebras

Abstract: After a brief introduction to the theory of (2-dimensional)
cohomological Hall algebras of quivers, curves, and surfaces, I will
discuss the cohomological Hall algebra COHA(S, Z) of coherent
sheaves on a smooth quasi-projective complex surface S
set-theoretically supported on a closed subscheme Z. When S is the
minimal resolution of an ADE singularity and Z is the exceptional
divisor, I will describe how to characterize COHA(S, Z) via the
Yangian of the corresponding affine ADE quiver. (joint project with
Emanuel Diaconescu, Mauro Porta, Oliver Schiffmann, and Eric
Vasserot.)