Analysis Seminar Fall 2013
Seminars past
Monday 2 December.
- Speaker: Meric Augat.
- Title: Julia Sets.
Monday 25 November.
- Speaker: Todd Molnar.
- Title: Arithmetic Consequences of the Large Sieve Inequality
- Abstract: In its simplest form, the large sieve is an exponential sum inequality which follows from the well-known equality between the norms of a Banach space operator and its adjoint. After indicating how one may derive a “sieve” from these observations we will discuss two classical results, namely, an upper bound for the number of twin primes and the Brun-Titchmarsh theorem for primes in arithmetic progressions.
Friday 22 November.
- Speaker: Larie Ward.
- Title: Operators grow on trees, III.
Wednesday 20 November.
- Speaker: Joel Rosenfeld.
- Title: Multiplication and Toeplitz Operators over the Polylogarthmic Hardy Space.
- Abstract: We will review facts about multiplication operators over the space PL^2 as well as reintroducing the space itself. I will also present some experimental results involving Toeplitz (-like) operators over this space. In particular I will demonstrate that a very large natural class of these operators are finite rank and also have a very clean form.
Monday 18 November.
- Working Seminar lead by Ben Russo.
- Conjugate Surface Theory, III.
Friday 15 November.
- Working Seminar lead by Ben Russo.
- Conjugate Surface Theory, II.
Monday 4 November. Colloquim (in place of Wednesday’s seminar).
- Speaker: David Sherman, University of Virginia.
- Title: TBA.
Monday 4 November.
- Speaker: David Sherman, University of Virginia.
- Title: TBA.
Friday 1 November.
- Working Seminar lead by Ben Russo.
- Conjugate Surface Theory.
Wednesday 30 October.
- Speaker: Adam Broschinski.
- Title: Sarason Hardy spaces on multiply connected domains, IV.
Monday 28 October.
- Speaker: Adam Broschinski.
- Title: Sarason Hardy spaces on multiply connected domains, III.
Friday 25 October.
- Speaker: Eric Stetler.
- Title: An upper bound for the norm of multipliers on Hilbert spaces of Dirchlet spaces, II.
Monday 21 October.
- Speaker: Eric Stetler.
- Title: An upper bound for the norm of multipliers on Hilbert spaces of Dirchlet spaces.
Friday 18 October.
- Speaker: Adam Broschinski.
- Title: Sarason Hardy spaces on multiply connected domains, II.
Wednesday 16 October.
- Speaker: Adam Broschinski.
- Title: Sarason Hardy spaces on multiply connected domains.
Friday 11 October
- Speaker: Agnish Dey.
- Title: Collapsing of Non-Homogeneous Markov Chains, II.
Wednesday 9 October.
- Speaker: Agnish Dey.
- Title: Collapsing of Non-Homogeneous Markov Chains, I.
- Abstract: Let X(n) be a discrete time markov chain with state space S={1,2,…,m}. Let S be the union of disjoint sets S_1, S_2, …,S_k which form a partition of S. We define the collapsed chain Y(n) such that Y(n)=i if and only if X(n) is in S_i for i=1,2,…,k. Is the Y(n) chain markov? This problem was considered by Burke and Rosenblatt in 1958, Kemeny and Snell in 1960 in the homogeneous context. In this talk, we shall study the problem when the X(n) chain is non-homogeneous ( i.e non-stationary) and markov.
Monday 7 October.
- Speaker: Larie Ward.
- Title: Operators grow on trees, II.
Friday 04 October.
- Speaker: Scott McCullough.
- Title: Commutant Lifting, III.
Wednesday 2 October.
- Speaker: Larie Ward.
- Title: Operators grow on trees, I.
Monday 30 September.
- Speaker: Scott McCullough.
- Title: Commutant Lifting, II.
Friday 27 September.
- Speaker: Scott McCullough.
- Title: Commutant Lifting, I.
Monday 23 September.
- Speaker: Todd Molnar.
- Title: Hardy’s Theorem
- Abstract: In his very influential 1859 paper G.B. Riemann defined what is now known as the Riemann Zeta function, as well as enunciating the well-known conjecture that all the complex zeros of the Zeta function must have a real part equal to 1/2. While this conjecture has neither been proved nor disproved, G.H. Hardy succeeded in demonstrating that there are infinitely many zeros of the Zeta function which satisfy this conjecture. This result is known as Hardy’s Theorem. Following a formula of Ramanujan, we will derive the simplest form of Hardy’s theorem (and indicate how improvements may be obtained).
Friday 20 September.
- Speaker: Scott McCullough.
- Title: The Nagy Dilation Theorem, II.
Wednesday 18 September.
- Speaker: Eric Stetler.
- Title: Multipliers on Hilbert spaces of Dirichlet series.
Monday 16 September.
- Speaker: Eric Stetler.
- Title: Convergence properties of Dirichlet series.
Wednesday 11 September.
- Speaker: Scott McCullough.
- Title: The Nagy Dilation Theorem.
Monday 9 September.
- Speaker: Scott McCullough.
- Title: Setting semialgebraic geometry and convex analysis free.
Friday 6 September.
- Speaker: Scott McCullough.
- Title: The Wold decomposition.
Wednesday 4 September.
- Speaker: Mat Gluck.
- Title: Lp elliptic regularity via perturbation, II.
Friday 30 August.
- Speaker: Mat Gluck.
- Title: Lp elliptic regularity via perturbation.
Wednesday 28 August.
- Speaker: Ben Russo
- Title: An operator theoretic approach to disconjugacy for Sturm-Liouville equations, III.
Monday 26 August.
- Speaker: Ben Russo
- Title: An operator theoretic approach to disconjugacy for Sturm-Liouville equations, II.
Friday 23 August.
- Speaker: Ben Russo
- Title: An operator theoretic approach to disconjugacy for Sturm-Liouville equations, I.
Wednesday 21 August.
Wednesday 15 May, 2pm.
- Preview of GPOTS talks: Kristin Luery, Joel Rosenfeld, Adam Broschinski.
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