Veranstaltung

Vortrag
"The virtual push-forward property in Gromov-Witten theory"
Dr. Cristina Manolache
21.6.2011, 17:30 Uhr – 18:30 Uhr

I will dedicate the first part of the talk to a brief description of
Gromov-Witten invariants. These are numbers which record the number of compact complex curves (i.e. Riemann surfaces) in a space X that have specified properties. For example they were successfully used to compute the number of degree d curves in a plane passing through 3d-1 given general points or the number of lines on the Calabi-Yau quintic threefold, etc. Gromov-Witten invariants are interesting from two different points of view: they carry a great deal of information about the geometry of X and they are also important in string theory, where the curves represent worldsheets of strings propagating in the target spacetime X.

In the second half of the talk I will try to answer the following
question: Suppose we have two target spaces X and Y related by a simple geometric operation (for example X and Y are isomorphic on a dense set). Can we explicitly relate the Gromov-Witten invariants of X to the Gromov-Witten invariants of Y?

Verknüpft mit:

• Cristina Manolache