## Hiring Candidate - Dr. Eric Riedl

**Date:** January 18, 2018

**Time:** 4:00PM - 5:00PM

**Location:** BLOC 220

**Speaker:** Dr. Eric Riedl, University of Illinois at Chicago

**Description:**

.Abstract:Title: Rational curves on hypersurfaces

A hypersurface is the set of points in projective space cut out by a single polynomial equation. We explore how the degree and dimension of a very general hypersurface relates to the geometry of its spaces of rational curves. As we go, we will see results on rational curves in hypersurfaces as examples of a major motivating theme in algebraic geometry: that positivity of the canonical controls the geometry and arithmetic of the variety.