On Sections of genus two Lefschetz fibrations

Geometry Topology Working Seminar
Friday, October 31, 2008 - 2:00pm for 1 hour (actually 50 minutes)
Skiles 269
Sinem Celik Onaran – School of Mathematics, Georgia Tech
John Etnyre
It is still not known whether every genus g Lefschetz fibration over the 2-sphere admits a section or not. In this talk, we will give a brief background information on Lefschetz fibrations and talk about sections of genus two Lefschetz fibration. We will observe that any holomorphic genus two Lefschetz fibration without seperating singular fibers admits a section. This talk is accessible to anyone interested in topology and geometry.