School of Mathematical Sciences

Cohomological field theories related to singularities and matrix factorizations menu

Cohomological field theories related to singularities and matrix factorizations

Speaker: 
Arkady Vaintrob (Oregon)
Date/Time: 
Mon, 16/03/2015 - 16:30
Room: 
103
Seminar series: 

I will discuss a cohomological field theory associated to a quasihomogeneous isolated
singularity W with a group G of its diagonal symmetries. The state space of this theory
is the equivariant Milnor ring of W and the corresponding invariants can be viewed as
analogs of the Gromov-Witten invariants for the non-commutative space associated with the pair (W,G).
In the case of simple singularities of type A they control the intersection theory on the
moduli space of higher spin curves.
The construction is based on derived categories of (equivariant) matrix factorizations of W.