"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.