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Algebra learning seminar - Intro to Noncommutative Algebra
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.
Analysis learning seminar
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.
Semisimple Lie Theory seminar
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).
Geometry working seminar
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?
Master's project presentation
Michael Deveau, Department of Pure Mathematics, University of Waterloo
"Minimal Pairs of Turineg Degrees"
The focus of this talk is the construction of minimal pairs of certain classes of Turing degrees, in particular on the motivation
behind two proofs involving minimal pairs. First, I will describe a naive construction of a minimal pair of Turing degrees. Second, I will
Geometry working seminar
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.
Algebra learning seminar - Intro to Noncommutative Algebra
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.
Geometry working seminar
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.
Student colloquium
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.