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Thursday, July 19, 2018 1:30 pm - 1:30 pm EDT (GMT -04:00)

Master's Project Presentation

Adam Humeniuk, Pure Mathematics, University of Waterloo

"Existence of the C*-envelope"

In 1969, Arveson defined the C*-envelope of an operator algebra or operator system as a universal quotient amongst all C*-algebras which contain it. He left the existence of the C*-envelope as an open problem. In a whirlwind tour of my Master's research paper, I'll discuss the diverse tools used to prove its existence in the intervening decades.

Friday, July 27, 2018 1:00 pm - 1:00 pm EDT (GMT -04:00)

Algebraic Geometry Learning Seminar

Nickolas Rollick, Pure Mathematics, University of Waterloo

"A Proper Separation -- The Variety Show"

Well, it has only taken two years, but we are finally ready to give the scheme-theoretic definition of "variety".  Along the way, we discuss the notions algebraic geometers use in place of "Hausdorff" and "compact Hausdorff", namely "separated" and "proper" morphisms.  Somehow, it seems fitting to talk about "separation" as we bring this seminar to a close...