Talk #1 (1:00 - 2:15 pm)
Jing Xuan Chen, Department of Pure Mathematics, University of Waterloo
"Holomorphic bisectional curvature (continued)"
The Frankel conjecture states that a connected compact Kähler manifold with positive holomorphic bisectional curvature is biholomorphic to the complex projective space. Last time we proved the Frankel conjecture in dimension two. We will continue to prove the Frankel conjecture in the case of a Kähler–Einstein manifold. On Kähler–Einstein manifolds, a stronger result can be obtained, we get an isometry with the complex projective space instead of a biholomorphic equivalence.
Talk #2 (2:30 - 4:00pm)
Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo
"Formality of compact Kahler manifolds: Episode I"
I will begin a series of talks establishing the formality of compact Kahler manifolds, using a Riemannian geometric approach that could hopefully be adapted to other settings. In this first talk, we will derive the classical Kahler identities from a Riemannian geometric viewpoint, and explore some of their consequences. This will likely be a series of 2-3 talks.
MC 5403