All Seminars & Colloquia

Speaker: Joseph Rosenblatt, University of Illinois, Urbana

Friday, 10/11/2013, 7:00pm - 11:59pm

Abstract: Classical ergodic averages give good norm approximations, but these averages are not necessarily giving the best norm approximation among all possible averages.

Topological transitivity for interval map

Speaker: Robbie Robinson, GWU

Friday, 10/4/2013, 8:00pm - 11:59pm

Abstract: Topological transitivity is one of the three pillars of Bob Devaney's definition of chaos, along with sensitive dependence on initial conditions, and dense periodic points. In this talk we study the dynamics of piecewise continuous, piecewise monotonic maps of the interval. We discuss several notions of topological transitivity, including an unusual one from the 1960's due to Bill Parry, and discuss the inter-relations between these various notions.

Orderings of algebraic structures on trees

Jennifer Chubb, University of San Francisco

Thursday, 9/19/2013, 9:30pm - 11:59pm

Abstract: A partial left ordering or bi-ordering of an algebraic structure is a partial ordering of the elements of the structure, which is invariant under the structure acting on itself on the left or, respectively, both on the left and on the right. I will discuss algorithmic properties of the orderings admitted by a computable structure, and consider some general questions

Quandles and codimension two embeddings

Jozef Przytycki, GWU

Thursday, 9/5/2013, 9:30pm - 11:59pm

Abstract: Distributivity has been an integral part of logic for a long time. An attempt to decouple them in linear logic applied to quantum mechanics was not successful. Distributivity in topology is a more recent development and can be dated to the PhD dissertation of Joyce in 1979, in which quandles were applied to knot theory. The next push came with construction of homology theory for quandles by Fenn, Rourke, and Sanderson (between 1990 and 1995). In 1998, Carter, Kamada, and Saito

Kato Estimates for NLS, L^2 and H^1 solutions

Analysis Seminar by Joe Jerome, Northwestern

Tuesday, 5/28/2013, 5:00pm - 11:59pm

Local and global existence in nonlinear Schrodinge qequation.

Analysis Seminar by Joe Jerome, Northwestern

Wednesday, 5/15/2013, 5:56pm - 11:59pm

Expotenntial bases and frameson 2-dimensional trapezoids.

Analysis Seminar by Anudeep Kumar (Grad stdent GWU)

Sunday, 4/28/2013, 5:57pm - 11:59pm

Analysis Seminar by Yen Do (Yale)

Thursday, 2/28/2013, 7:00pm - 11:59pm

Title: Quantitative convergence of Fourier series in weighted settings. Abstract: In this talk I will describe a recent joint result with Michael Lacey, where we obtain more quantitative information about convergence of Fourier series in weighted settings

Representations of Quantum Channels

Tanner Crowder, NRL/Howard U.

Wednesday, 2/20/2013, 5:00pm - 11:59pm

Abstract: Every qubit channel can be realized as an affine map on the unit ball; the map is called the Bloch representation of the qubit channel. This representation has proven extremely useful in calculating information theoretic quantities associated with the channel. We consider the Bloch representation for n-qubit systems and discuss the applications and challenges with the higher dimensional extension. We will conclude with some open problems in quantum information.

Quantum Computation and Quantum Simulation Experiments with Trapped Ions

Crystal Senko, Joint Quantum Institute, University of Maryland

Sunday, 12/9/2012, 7:00pm - 11:59pm

Abstract: The experimental implementation of a large-scale quantum computer remains a major outstanding challenge. Several physical systems have been demonstrated to have the excellent isolation from environmental noise and the precise external control needed to perform quantum computations, and some of the most advanced results have been achieved using trapped atomic ions. I will give an overview of how trapped ions are used for quantum information processing and briefly discuss the current state of trapped ion quantum computing experiments.