Back to Algebraic Geometry Seminar: Fall 2018
Algebraic Geometry Seminar
Date: Tuesday, Aug 28, 2018
Time: 3:30PM - 4:30PM
Location: LCB 222
Patrick Graf
University of Bayreuth
Title |
The Kodaira Problem: Results and Perspectives |
Abstract |
The Kodaira problem asks whether every compact Kähler manifold can be deformed to a projective one. While Voisin gave counterexamples in 2004, a modified version for non-uniruled spaces remains open, and in fact has been established in dimension at most three by Claudon, Höring, Lin and myself. I will review these results and then talk about the (im)possibility of extending the conjecture to uniruled spaces. If time permits, I will also outline a current project dealing with higher dimensions. The latter two works are joint with Martin Schwald (Essen). |
Algebraic Geometry