Tuesday 12 June.

• Speaker: Kristen Luery.
• Title: Some Properties of Composition Operators on the Half Plane.

Thursday 7 June.

• Speaker: Joel Rosenfeld
• Title: Total Sets and Beurling’s Connection with the Riemann Hypothesis.
• Abstract: I will talk about total sets in a Hilbert space,
  addressing problems
  from The Hilbert Space Problem Book by Halmos. During the second half
  of the talk we will look at an equivalent statement of the Riemann
  hypothesis due to Beurling.

Tuesday 4 June.

• Speaker: Bill Helton, UC San Diego
• Title: TBA

Thursday 31 May.

• Speaker: Miriam Castillo-Gil
• Title: Thesis defense.

Thursday 24 May.

• Speaker: Michael Jury.
• Title: The maximum modulus of a random polynomial.
• Abstract: Flip a fair coin N times, and let e_k be +1 if
  the kth flip was heads, and -1 if it was tails. Form the random polynomial
  sum e_k z^k

  The maximum modulus of such a random polynomial on the unit circle is
  then a random variable M. Simple estimates show that

  sqrt{N} leq M leq N

  surely. A theorem of Salem and Zygmund shows that there is a constant C so that with high probability,

  M \leq C \sqrt{N \log N}.

  for all N sufficiently large. I will discuss this theorem and its extension to several variables (due to Kahane).

Tuesday 22 May.

• Speaker: Joel Rosenfeld.
• Title: Extensions of Reproducing Kernel Presentations

Thursday 17 May.

• Speaker: Michael Dritschel, Newcastle University, UK.
• Title: Test Functions, kernels, realizations and interpolation II.

Tuesday 15 May.

• Speaker: Michael Dritschel, Newcastle University, UK.
• Title: Test Functions, kernels, realizations and interpolation I.