Department of Mathematics and Statistics Talks for the week May 4-8, 2009 (previous week)

Analysis Seminar: "Large Deviations for Weakly Dependent Random Variables"   Date Monday, May 04, 2009 Time 4:00 pm – 5:00 pm CDT Where Room G4, Rolla Building Event Type Lectures & Seminars Presenter Dr. Sastri Chelluri Sponsored by Department of Mathematics and Statistics Contact David Grow Description The classic theorem of large deviations is Cramer’s theorem, which deals with real-valued i.i.d. random variables. There will be a brief discussion of Cramer’s theorem and its extension to random vectors, followed by a discussion of the Gartner-Ellis theorem, which deals with large deviations for weakly dependent random variables. The theorem will be illustrated with one or two examples. Topology/Algebra Seminar: "Ends of topological spaces, replacing sequences with nets"   Date Thursday, May 07, 2009 Time 4:00 pm – 5:00 pm CDT Where Room G5, Rolla Building Event Type Lectures & Seminars Presenter Malgorzata Marciniak Sponsored by Mathematics and Statistics Contact Robert Roe Description Marciniak presents a joint work with Dr. Insall in which nets are used to define ends of topological spaces. It is a modification of the idea introduced by Freudenthal in 1931. The main result connects the property of no ends and compactness of a topological space more firmly than did Freudenthal's original presentation. Student Research Seminar   Date Friday, May 08, 2009 Time 3:00 pm – 4:00 pm CDT Where Room 216, Butler-Carlton Hall Event Type Lectures & Seminars Sponsored by Mathematics and Statistics Department Contact Dr. Matt Insall Description The seminar includes topics of interest to students, both graduate and undergraduate, who are doing research in any discipline. Students who would like to present their research are welcome to contact Dr. Insall to schedule a time. Colloquium: "The Krein-von Neumann extension and its connection to an abstract buckling problem"   Date Friday, May 08, 2009 Time 4:00 pm – 5:15 pm CDT Where Room G5, Rolla Building Event Type Lectures & Seminars Presenter Professor Fritz Gesztesy, University of Missouri-Columbia Sponsored by Department of Mathematics and Statistics Contact Martin Bohner Description Proof is demonstrated of the unitary equivalence of the inverse of the Krein-von Neumann extension (on the orthogonal complement of its kernel) of a densely defined, closed, symmetric and strictly positive operator, to an abstract buckling problem operator. This establishes the Krein extension as a natural object in elasticity theory (in analogy to the Friedrichs extension, which found natural applications in quantum mechanics, elasticity, etc.). This is based on joint work with M. Ashbaugh, M. Mitrea, R. Shterenberg, and G. Teschl.