“Elliptic Fibrations in the Presence of Singularities”

The Gromov-Witten generating series for an elliptic fibration is expected to have modular properties by mirror symmetry. When the homology class in the base is irreducible and the total space is smooth, we obtain a classical modular form for the full modular group. If the base class is reducible, we expect the series to be quasi-modular. If the fibration does not admit a section, then the modular form has higher level. Both of these relaxations are related to the presence of singularities in the geometry.

### Details

Algebraic Geometry SeminarFrancois Greer (Stony Brook)

May 18, 2018

4:30 PM - 5:30 PM

More information available at:

http://mathematics.stanford.edu/algebraic-geometry-seminar/

### Location

Math 383-N450 Serra Mall

Bldg. 380

Room 383-N

Stanford CA 94305