## Seminars and Colloquia by Series

Wednesday, April 25, 2018 - 01:55 , Location: Skiles 005 , March Boedihardjo , UCLA , Organizer: Shahaf Nitzan
Wednesday, April 18, 2018 - 13:55 , Location: Skiles 005 , Mirta Castro Smirnova , University of Seville , Organizer: Plamen Iliev
Wednesday, April 11, 2018 - 13:55 , Location: Skiles 005 , , University of Alberta , , Organizer: Galyna Livshyts
TBA
Wednesday, April 4, 2018 - 13:55 , Location: Skiles 005 , , Clemson University , , Organizer: Galyna Livshyts
TBA
Wednesday, March 28, 2018 - 13:55 , Location: Skiles 005 , Laura Cladek , UCLA , , Organizer: Michael Lacey
Wednesday, March 14, 2018 - 13:55 , Location: Skiles 005 , , Brown University , , Organizer: Galyna Livshyts
TBA
Wednesday, March 7, 2018 - 13:55 , Location: Skiles 005 , , Georgia Tech , , Organizer: Galyna Livshyts
An overarching problem in matrix weighted theory is the so-called A2 conjecture, namely the question of whether the norm of a Calderón-Zygmund operator acting on a matrix weighted L2 space depends linearly on the A2 characteristic of the weight. In this talk, I will discuss the history of this problem and provide a survey of recent results with an emphasis on the challenges that arise within the setup.
Wednesday, February 28, 2018 - 20:35 , Location: Skiles 005 , Xiumin Du , Institute for Advanced Study , , Organizer: Michael Lacey
Joint with Guth and Li, recently we showed that the solution to the free Schroedinger equation converges to its initial data almost everywhere, provided that the initial data is in the Sobolev space H^s(R^2) with s>1/3. This is sharp up to the endpoint, due to a counterexample by Bourgain. This pointwise convergence problem can be approached by estimates of Schroedinger maximal functions, which have some similar flavor as the Fourier restriction estimates. In this talk, I'll first show how to reduce the original problem in three dimensions to an essentially two dimensional one, via polynomial partitioning method. Then we'll see that the reduced problem asks how to control the size of the solution on a sparse and spread-out set, and it can be solved by refined Strichartz estimates derived from l^2 decoupling theorem and induction on scales.
Wednesday, February 21, 2018 - 13:55 , Location: Skiles 005 , , Princeton University , , Organizer: Galyna Livshyts
I will speak how to dualize'' certain martingale estimates related to the dyadic square function to obtain estimates on the Hamming and vice versa. As an application of this duality approach, I will illustrate how to dualize an estimate of Davis to improve a result of Naor--Schechtman on the real line. If time allows we will consider one more example where an improvement of Beckner's estimate will be given.
Wednesday, February 14, 2018 - 13:55 , Location: Skiles 005 , , Georgia Institute of technology , Organizer: Galyna Livshyts
We study Balian-Low type theorems for finite signals in $\mathbb{R}^d$, $d\geq 2$.Our results are generalizations of S. Nitzan and J.-F. Olsen's recent work and show that a quantity closelyrelated to the Balian-Low Theorem has the same asymptotic growth rate, $O(\log{N})$ for each dimension $d$.  Joint work with Michael Northington.