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Friday, February 23, 2018 — 2:30 PM EST

Sebastien Picard, Columbia University

"The Anomaly flow over Riemann surfaces"

Monday, February 26, 2018 — 1:30 PM EST

Matt Satriano, Department of Pure Mathematics, University of Waterloo

"Short Ride in a Height Machine"

This talk is meant to be a quick introduction to the theory of height functions on projective varieties defined over number fields.  After describing the fundamental case of heights on projective space, we go into the basics of Weil's height machine.  For any projective variety, this gives a height function attached to each linear equivalence class of Cartier divisors (or each line bundle), satisfying a variety of pleasant functorial properties.

Tuesday, February 27, 2018 — 1:30 PM EST

Francesco Cellarosi, Queen's University

"Statistical properties of B-free numbers"

B-free numbers were introduced by Erdős as a generalization of squarefree integers. I will present some results about the statistical properties of B-free numbers and a dynamical systems naturally associated to them. In particular, I will discuss a central limit theorem resembling a result by J. Beck on irrational circle rotations. Joint work with M. Avdeeva and Ya.G. Sinai.

MC 5417

Friday, March 2, 2018 — 2:30 PM EST

Robert Xu Yang, Department of Pure Mathematics, University of Waterloo

"Interpolation Sets in Harmonic Analysis"

Many classical harmonic analysis results are based on 'Lacunary or Hadamard sets'. Weierstrass used Hadamard sequences to build the first example of nowhere differentiable continuous function. Hadamard sets also inspired the classical Hadamard gap theorem and the Riesz product measure, which is an example of a continuous measure whose Fourier coefficients do not vanish at infinity.

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