Geometry working seminarExport this event to calendar

Tuesday, May 13, 2014 — 1:00 PM EDT

Talk 1. Janis Lazovskis - 1:00pm

Pure Mathematics Department, University of Waterloo

“The CW-structure and cohomology of the complex Grassmannians””

Using a canonical basis for arbitrary k-spaces, we will construct the Grassmannian of k- subspaces in complex n-space. This will give a very nice description of the cell structure, and also the cohomology of the Grassmannian. A direct limit argument will take this result to k-subspaces of infinite-dimensional complex space. If time permits we will also define the Chern classes directly from the cohomology calcualtions.

Talk 2. Spiro Karigiannis - 2:30pm

Pure Mathematics Department, University of Waterloo

“Metric connections with totally skew torsion: Part I”

Let (M,g) be a Riemannian manifold, and let be a connection on M which is [i] metric compatible, and [ii] has totally skew-symmetric torsion. We will derive the first and second Bianchi identities, the Ricci identities, and the Bochner-Weitzenb ̈ock formula in this context. The ultimate goal is to find an analogue of the Hodge theorem in this setting.

Location 
MC - Mathematics & Computer Building
4062
200 University Avenue West

Waterloo, ON N2L 3G1
Canada

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