Algebra/Topology Seminar

Ana Ros Camacho (Utrecht University), Title: Computational aspects of orbifold equivalence


Landau-Ginzburg models are a family of quantum field theories characterized by a polynomial (satisfying some conditions) usually called ‘potential’. They give rise to a bicategory with adjoints, whose 1-morphisms are matrix factorizations. We have a very explicit description of the structure maps of this bicategory, which allows direct computations. In this context, it is possible to introduce an equivalence relation between two different potentials, called `orbifold equivalence’. We will present some recent examples of orbifold equivalence, and discuss the computational challenges posed by the search of new ones. Joint work with Timo Kluck.