Differential Geometry Working Seminar

Wednesday, August 17, 2022 9:30 am - 9:30 am EDT (GMT -04:00)

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

"Vertical and Horizontal Spaces"

For a given Riemannian manifold (M,g), a vector bundle E over M, we can define the vertical space VE which is a submanifold of TE. Given a connection on E we can then define the horizontal space HE which is a submanifold of TE. These spaces give us a fibre metric on TE and then we can look at the Levi-Civita connection in terms of these vertical and horizontal spaces.

Talk #2 (11:00am-12:15pm): Shengda Hu, Wilfrid Laurier University

"Spinors for split signature pairing"

We describe some explicit constructions of spinor modules when the pairing has split signature.

MC 5403