Welcome to the home page of the Mathematics Graduate Student Organization (MGSO) at Texas A&M University in College Station. The purpose of this organization is to encourage communication among students, faculty, and staff, and contribute to a rich social life in the department through cultural and scientific dialogue. We would also like to provide an environment where students in the mathematics department can practice their presentation skills as well as view the techniques of others. It is our goal to be a source of support and information for all graduate students.
The main activity of the MGSO is the Graduate Student Seminar. This seminar is for grad students, (largely) by grad students: Volunteer to give a talk!
Seminar: Spring 2015, Thursdays, Blocker 506A, 4:00-4:50 PM
Speaker: Philip Hoskins
Title: Classical Calderón-Zygmund Theory
Time / Date: 4:00 - 5:00 , April 30
The study of singular integral operators (SIOs) and their kernels can be traced all the way back to Cauchy's work in complex analysis. In particular, mathematicians have been interested in the boundedness properties of SIOs. That is, for what Lp spaces is integration against a singular kernel a bounded linear operator? For much of its early history, the field was restricted to complex analytic methods, and so the question of boundedness of SIOs in higher dimensions remained open. Shortly after World War II, Alberto Calderón and Antoni Zygmund developed some techniques and theory that freed the study of SIOs from the limits of complex analysis. These techniques are now standard tools in harmonic analysis, nonlinear analysis, and PDEs. We will discuss some of these methods as well as what sorts of kernels they are applicable to.