Talk #1 (9:30am - 10:45am): Amanda Petcu, Department of Pure Mathematics, University of Waterloo
"Isometric Immersions, part 1"
This series of talks will cover Chapter 6 of Manfredo Do Carmo's book 'Riemannian Geometry'. In this specific talk we will introduce the notion of an isometric immersion and the second fundamental form. We will see some examples as well as some properties of isometric immersions and the creation of the second fundamental form for a Riemannian manifold.
Talk #2 (11:00am - 12:15pm): Shengda Hu, Department of Mathematics, Wilfrid Laurier University
"Generalized symmetry from Hermitian line bundles"
We describe how the generalized curvatures of a Hermitian line bundle correspond to generalized symmetries via Lax flow of a generalized metric.