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Luke MacLean, Department of Pure Mathematics, University of Waterloo

"Reverse Mathematics (part 2)"

Having heard a brief overview of the basics of reverse mathematics, we will continue to learn about the system RCA_0 and the theorems provable therein. 

Attendance of part 1 is not required, only an interest in logic and computability.

MC 5413

Andrej Vukovic, Department of Pure Mathematics, University of Waterloo

We review aspects of the theory of Berkovich spaces, including quasimonomial valuations and invariants associated to a valuation. We then discuss birational geometry, introducing blowups and log resolutions of ideals. We discuss dual graphs and describe the classification of semivaluations in the valuative tree. We conclude by returning to our earlier study of plane polynomial dynamics.

M3 3103