The University of Arizona

Factorization and vector bundles on curves

Factorization and vector bundles on curves

Series: Algebraic Geometry Seminar
Location: ENR2 S395
Presenter: Doug Pickrell, University of Arizona

In the 1950's the analyst Grothendieck used Riemann-Hilbert factorization (of a transition function along the equator) to classify holomorphic vector bundles on the Riemann sphere. The higher genus cases are more complicated (obviously). In this informal talk (by an analyst to an audience of algebraic geometers) I would like to convey why an analyst might care about factorization, a few things which are known, and in particular how this relates to semistability.

Department of Mathematics, The University of Arizona 617 N. Santa Rita Ave. P.O. Box 210089 Tucson, AZ 85721-0089 USA Voice: (520) 621-6892 Fax: (520) 621-8322 Contact Us © Copyright 2017 Arizona Board of Regents All rights reserved