Events

Talk 1.

Blake Madill, Department of Pure Mathematics, University of Waterloo

“Polynomial Identity Algebras”

This week we begin our exploration into P.I. algebras. We discuss the motivation behind studying these objects and go through Kaplansky’s fundamental results.

Adam Dor On, Department of Pure Mathematics, University of Waterloo

“Hartogs theorem from the Bochner-Martinelli integral formula”

”We discuss the Bochner-Martinelli kernel, which gives a several variable analog of the Cauchy-Pompeiu formula, which then yields the well known Bochner-Martinelli integral formula for analytic functions in several varibles.

Yossef Musleh, Department of Pure Mathematics, University of Waterloo

"Clifford algebras and spin representations”

The (special) orthogonal/unitary groups and their geometry will be discussed. Possible topics include covering groups, Clifford algebras, spin representations (as time permits).

Talk 1. Krishan Rajaratnam, Pure Mathematics Department, University of Waterloo

“Orthogonal separation of the Hamilton-Jacobi equation on spaces of constant curvature”

What is in common between the Kepler problem, a hydrogen atom, and a rotating black- hole?

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

“Divisors on an algebraic curve”

So far we’ve seen Pic(X) as the set of (isomorphism classes of) line bundles on X.

Blake Madill, Department of Pure Mathematics, University of Waterloo

“Polynomial Identity Algebras II”

We continue our investigation of polynomial identity algebras. In particular, we find more examples of them.

Talk 1. Ritvik Ramkumar, Pure Mathematics Department, University of Waterloo

“Divisors on complex projective manifolds”

Ehsaan in his most recent talk, showed that on a smooth projective algebraic curve the divisor class group is isomorphic to the Picard group.

Cameron Williams, Department of Pure Mathematics, University of Waterloo

“Fractional Calculus: A Tale of Mystery and Intrigue”

Fractional calculus is the generalization of calculus beyond simply integer order derivatives and integrals to arbitrary real - or, more generally, complex! - order.