Found 7 result(s)
Regular Seminar Ezra Getzler (Northwestern)
at: 14:00 room H503  abstract:

String Theory & Geometry Seminar Ezra Getzler (IMS and Northwestern University)
at: 13:30 room IMS seminar room  abstract: I give an outline of the program of Shadrin and his collaborators, to give explicit formulas for correlators in topological gravity (with descendants), starting with a BatalinVilkovisky algebra. In particular, I will try to explain the relationship with Givental's work on GromovWitten invariants. No background is assumed. 
String Theory & Geometry Seminar Ezra Getzler ()
at: 13:00 room Seminar Room of the IMS  abstract:

String Theory & Geometry Seminar Ezra Getzler ()
at: 13:00 room Seminar Room of the IMS  abstract:

String Theory & Geometry Seminar Ezra Getzler ()
at: 13:00 room Seminar Room of the IMS  abstract:

String Theory & Geometry Seminar Ezra Getzler (Northwestern University)
at: 13:00 room Seminar Room of the IMS  abstract: The lectures will start by reviewing closed topological theories, before moving to more recent work in the open/closed theory on spaces with boundary. From the work of Witten, the topology of the socalled DeligneMumford moduli spaces of Riemann surfaces with nodes plays a fundamental role in 2dimensional topological gravity (known to mathematicians as GromovWitten theory). For example, by the work of Kontsevich and Manin, it is seen to underly the WittenDijkgraafVerlindeVerlinde equation, and hence is intimately related to the theory of Frobenius manifolds and of integrable systems. Most work on these moduli spaces has been focussed on the case of closed topological field theory. In these lectures, I will explore the moduli spaces, analogous to DeligneMumford moduli spaces, which play the corresponding role in the open theory. In this case, the world sheet (Riemann surface) has a boundary, and as a result, the moduli spaces are no longer complex orbifolds, but rather real orbifolds with corners. These moduli spaces may be viewed as an explanation of the way that algebraic structures, such as Ainfinity categories, cyclic homology, and the Cardy condition, enter topological field theory in two dimensions. This theory should also have applications to understanding the foundations of string theory. 
String Theory & Geometry Seminar Ezra Getzler ()
at: 13:00 room Maths Institute seminar room  abstract:
