Events

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.

Jeremy Nicholson, Pure Mathematics, University of Waterloo

"The Frobenius Problem and Combinatorics on Words"

Dan Ursu, Pure Mathematics, University of Waterloo

"C*-simplicity of discrete groups"

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...

Pranabesh Das, Pure Mathematics, University of Waterloo

"Variants of Erd{\H o}s--Selfridge superelliptic curves and their rational points"

Eli Shamovich, Pure Mathematics, University of Waterloo

"Polynomials and rational functions"

Ross Willard, Pure Mathematics, University of Waterloo

"Natural dualities for finitely generated quasi-varieties - definitions and first results"

Rahim Moosa, Pure Mathematics, University of Waterloo

"Pseudo-finite sets and dimension, Part 2"

Having discussed the normalised counting measure on pseudo-finite sets and its application to Szemeredi Regularity, we now introduce the fine and coarse pseudo-finite dimensions for these sets, with an eye toward the Szemerdi-Trotter theorem.

Fei Hu, University of British Columbia

"Jordan property for algebraic groups in arbitrary characteristic"

Ruizhang Jin, Pure Mathematics, University of Waterloo

"Model-theoretic Analysability in Differentially Closed Fields"