RTG Seminar on Number Theory Seminar

Pre-talk for grad students at 3pm. Main talk at 4pm.

Pre-talk Title and Abstract: "What is a Chow ring?"

In this pre-seminar talk, we will introduce the Chow ring, a basic tool of intersection theory. We will compute examples of Chow rings and show how they can be used to answer enumerative questions in algebraic geometry.

Main talk abstract: Metric algebraic geometry is a term proposed for the study of properties of real algebraic varieties that depend on a distance metric. The distance metric can be the Euclidean metric in the ambient space or a metric intrinsic to the variety. In this talk, we introduce metric algebraic geometry through a discussion of Voronoi cells, bottlenecks, offset hypersurfaces, and the reach of an algebraic variety. We also show applications to the computational study of the geometry of data with nonlinear models.


Speaker(s): Madeleine Weinstein (UC Berkeley)