We use cookies to ensure that we give you the best experience on our website. You can change your cookie settings at any time. Otherwise, we'll assume you're OK to continue.

Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Pure Maths Colloquium: 'Say XxA^1=A^n. Please solve for X'...and related questions

Presented by Brent Doran, ETH-Zurich

3 November 2008 16:15 in CM221

The problem of the title in Algebraic Geometry is known as the Zariski Cancellation Problem. In this talk, we approach it from a variety of perspectives -- smooth manifolds, algebraic varieties, and birational geometry. En route we encounter an historic misproof of the Poincare conjecture, classification of contractible manifolds, a characterization of algebraic families of vector bundles, a reinterpretation of singularities, and some fun with spheres. The goal is to extract as much algebraic geometry as possible from what are essentially motivic -- er, topological -- ideas. This is drawn from joint work with Aravind Asok, and also Francis Kirwan. Pretty examples abound.

Contact for more information