Colloquium: "Rational curves on hypersurfaces"

Eric Riedl, University of Illinois at Chicago

Abstract: One motivating theme in algebraic geometry is that positivity of the canonical bundles impacts the geometry and arithmetic of varieties. Hypersurfaces provide good test cases for many of these conjectures. We explore how positivity of the canonical bundle relates to the geometry of the spaces of rational curves in hypersurfaces, and how this relation can be viewed in the broader context of positivity.

 

Host: Roya Beheshti

Tea @ 3:45pm in room 200