Commutative Algebra and Algebraic Geometry: The Fellowship of the Ring: The Equations of K3 Carpets

Seminar | August 29 | 3:45-4:45 p.m. | 939 Evans Hall

 David Eisenbud, UC Berkeley

 Department of Mathematics

K3 surfaces are one possible answer to the question: what's the 2-dimensional analogue of elliptic curves? There is a rich and beautiful geometric theory, but I'll talk about a highly degenerate form, the K3 carpets. There's a simple discrete classification, an easy way to write down the equations and Groebner bases, and an intriguing connection to Green's Conjecture on canonical curves.