All Seminars & Colloquia
Recent Topics in Integro-Differential Equations
Speaker: Russell Schwab, Michigan State University.
Friday, 10/18/2013, 5:00pm - 11:59pm
Abstract: We will give a brief overview of some recent results on the analysis of elliptic integro-differential equations (which are the natural class of generators of Markov processes) from the perspective of nonlinear elliptic equations. We will discuss some regularity results and possibly some applications to Neumann homogenization.
Orderable groups and their spaces of order
Speaker: Mietek Dabkowski, University of Texas at Dallas
Friday, 10/11/2013, 8:30pm - 11:59pm
Abstract: A left order on a group G is a linear order of the domain of G, which is left-invariant under the group operation. Right orders and bi-orders are defined similarly. We investigate computability theoretic and topological properties of spaces of left orders on computable orderable groups. Topological properties of spaces of orders on groups were first studied by A. Sikora who showed that for free abelian groups of finite rank n >1 the space of orders is homeomorphic to the Cantor set.
Norm Approximation in Ergodic Theory
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