Differential Geometry Working Seminar

Wednesday, June 8, 2022 9:30 am - 9:30 am EDT

Talk #1 (9:30 am - 10:45 am): Amanda Petcu, Department of Pure Mathematics, University of Waterloo

"Introduction to Kahler geometry, part 2"

We will continue with the basics of complex geometry to build the necessary knowledge for studying Kahler geometry. More precisely we will talk about holomorphic forms and vector fields and, certain theorems that relate to integrability of the manifold and almost complex structures.

Talk #2 (11:00 am - 12:15 pm): Spiro Karigiannis, Department of Pure Mathematics, University of Waterloo

"McLean's Second Variation Formula revisited, part 2"

Last time we discussed calibrations satisfying a Harvey-Lawson identity, and focused on the associative and coassociative cases. We also derived the general formula for determining the infinitesimal deformations of calibrated submanifolds, and worked out the coassociative case. This time we'll work out the associative case, including understanding how the normal bundle is a Clifford bundle with an associated Dirac operator. Then we'll give the Van Le - Vanzura proof of McLean's second variation formula in general.

MC 5403