EVENT DETAILS AND ABSTRACT

Title: Realizing relative Ginzburg algebras as Chekanov-Eliashberg algebras
Speaker: Johan Asplund
Speaker Info: Stonybrook
Brief Description:
Special Note:
Abstract:

The Ginzburg algebra is a Calabi-Yau algebra that is well-studied in representation theory. The Chekanov-Eliashberg algebra associated to a Legendrian submanifold in a contact manifold yields a Legendrian isotopy invariant, that is of interest to both contact and symplectic geometers via its relation to Fukaya categories. In this talk we will discuss the result that given a quiver Q and a subquiver F, we can construct a singular Legendrian so that these algebras are quasi-isomorphic. The technical ingredients include a definition of the Chekanov-Eliashberg algebra of singular Legendrians developed in recent joint work with T. Ekholm and a general gluing formula for the Chekanov-Eliashberg algebra.