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Monday, August 21, 2017 — 10:00 AM EDT

Akshaa Vatwani, Department of Pure Mathematics, University of Waterloo

"Variants of equidistribution in arithmetic progressions"

It is well known that the prime numbers are equidistributed in arithmetic progressions. Such a phenomenon is also observed more generally for a class of multiplicative functions. We derive some variants of such results and give a few applications. We also discuss an interesting application that relates to the Chowla conjecture on correlations of the Mobius function, and show its relevance to the twin prime conjecture.

Thursday, August 24, 2017 — 1:30 PM EDT

Rick Kun-Hung Hsueh, Department of Pure Mathematics, University of Waterloo

"An analogy between classical and free Brownian motion: A combinatorial approach"

The first part of the talk deals with how plane integer lattice paths can be exploited to calculate moments of random variables of the form A + B, where A, B are linear operators defined on the the full Fock space. In particular, this covers the cases for Gaussian and Wigner semicircle laws which are indispensable parts for classical and free Brownian motion.

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