Free curves on varieties
Vortrag von Dr. Frank Gounelas
Datum: 07.05.12 Zeit: 13.15 - 14.00 Raum: Y27H25
This talk will be about various ways in which a variety can be "connected by higher genus curves", mimicking the notion of rational connectedness. From Mori's bend and break result and the Graber-Harris-Starr theorem one concludes that, at least in characteristic zero, the existence of a curve with a large deformation space of morphisms to our variety implies that the variety is in fact rationally connected. Time permitting I will discuss attempts to show this result in positive characteristic.