Geometry working seminar

Talk 1. Ehsaan Hossain, Pure Mathematics Department, University of Waterloo

“Extensions of line bundles, mk. II”

Last time we saw that H1(O∗) is in bijection with isomorphism classes of line bundles, and the product of cohomology classes corresponds to tensor product of line bundles. Now we’ll see another application of H1: extensions of L′ by L are classified, up to “equivalence of extensions”, by H1(Hom(L′, L)).

Talk 2. Ritvik Ramkumar, Pure Mathematics Department, University of Waterloo

Starting at 3:30 pm

“The Hodge Theorem: Part II

We will start by reviewing the last few minutes of the first talk and then give a sketch of the proof of the Hodge Theorem.