Catherine St-Pierre, University of Waterloo
"Borel fixed Ideals (in Krull dimension 0)"
Kübra Benli, University of Georgia
"On the number of small prime power residues"
Dan Ursu, Department of Pure Mathematics, University of Waterloo
"Relative C* - simplicity"
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.
Ross Willard, Pure Mathematics, University of Waterloo
"Natural dualities for finitely generated quasi-varieties - definitions and first results"
Eli Shamovich, Pure Mathematics, University of Waterloo
"Polynomials and rational functions"
Fei Hu, University of British Columbia
"Jordan property for algebraic groups in arbitrary characteristic"
Pranabesh Das, Pure Mathematics, University of Waterloo
"Variants of Erd{\H o}s--Selfridge superelliptic curves and their rational points"
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...
Dan Ursu, Pure Mathematics, University of Waterloo
"C*-simplicity of discrete groups"