PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Robert Vaughan.

Title:Orbifold Elliptic Fibrations
Seminar:Algebra and Number Theory Seminar
Speaker:Evgeny Mayanskiy, Penn State University
Abstract:
One of the diamonds of the complex surface theory is Kodaira's classification of singular fibers of elliptic fibrations. We will consider what happens for orbifolds. By an orbifold elliptic fibration we mean a proper surjective morphism from a smooth 2-dimensional complex-analytic orbifold to a smooth (non stacky) complex curve such that the general fiber is a smooth torus. We will see the complete list of all possible stacky fibers (with trivial generic stabilizers) for minimal orbifold elliptic fibrations, and then discuss what stacky structure may appear along components of the fibers. In the end we will give a moduli perspective on these results. This is a report on our work in progress, where we study stacky elliptic surfaces.

Room Reservation Information

Room Number:MB106
Date:03 / 15 / 2012
Time:11:15am - 12:05pm