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Joey Lakerdas-Gayle, University of Waterloo

Infinitary Continuous Logic

We will introduce continuous analogues of infinitary logic following a survey of Christopher Eagle. We will also look at the Scott analysis for metric structures developed by Ben Yaacov, Doucha, Nies, and Tsankov.

MC 5403

Sourabh Das, University of Waterloo

Tools in Analytic Number Theory

Analytic number theory provides several classical tools to explore the distribution of arithmetic functions, including the rearrangement of sums, generating series, and counting arguments. In this talk, we will use these techniques to investigate the distribution of h-free and h-full numbers, which play an important role in understanding the structure of integers. If time allows, we will extend our discussion to prove results about the distribution of the prime-counting ω-function over these subsets of integers. Designed as an introductory talk, this presentation will be accessible to anyone with a basic background in number theory.

MC 5403

Francisco Villacis, University of Waterloo

Integrable Systems and Applications

Completely integrable systems and toric moment maps form an important set of tools for symplectic geometers. These give rise to Lagrangian fibrations, which in turn play an important role in quantization problems and are the main object of study in the SYZ formulation of mirror symmetry. In this talk I will give a brief overview of (completely) integrable systems and toric moment maps, how these appear in the context of mirror symmetry, and some of my work these past couple of years.

MC 5403