Upcoming Seminars

MONDAY, September 24, 2007

        APPLIED ANALYSIS AND PDE READING SEMINAR     PSA 304   1:40 p.m.
        Moderators: Slim Ibrahim, Svetlana Roudenko, Sergei Suslov,
                    Department of Mathematics and Statistics
          "Local and Global Analysis of Nonlinear Dispersive Equations"
        ABSTRACT: We study in details modern approaches in Analysis and
        Nonlinear PDEs based on the book from CBMS series by Terence
        Tao (Field's Medalist 2006). Graduate students and postdocs are
        especially welcome.

TUESDAY, September 25, 2007

        MATHEMATICS AND COGNITION SEMINAR         ISTB1 401   12:15 p.m.
        Jack Emery, Harrington Department of Bioengineering,
                    Biodesign Institute
          "The Structure of Rugged Fitness Landscapes"
        ABSTRACT: This talk will be a discussion of a chapter two of
        the book Molecular Evolution on Rugged Landscapes: Proteins,
        RNA and the Immune System, edited by Perelson and Kaufman.
        See <http://math.asu.edu/~tom/cognition/math+cogsched.html>
        to download the reading.
          For additional information e-mail tom.taylor@asu.edu

WEDNESDAY, September 26, 2007

        FIRST YEAR MATHEMATICS SEMINAR              COOR 191   1:40 p.m.
        Jelena Milovanovic, Department of Mathematics and Statistics
          "Blackboard and MyMathLab in the classroom"
        ABSTRACT: As technology advances so should our teaching
        strategy as to effectively integrate this tool into our
        classroom. Software such as Blackboard - offered via ASU, and
        MyMathLab, which is powered by Blackboard, can be used not only
        to facilitate knowledge to students but to also aid in the
        communication between the instructor and students as well as
        student to student interaction. This workshop is designed to
        introduce the simplicity of the administration and benefits of
        Blackboard and MyMathLab into the classroom. 'Skype' is another
        free online software available for communication and a brief
        discussion on this topic will also be included.

        COMPRESSIVE SENSING SEMINAR                  ECA 225   4:00 p.m.
          (In cooperation with Department of Electrical Engineering)
        Video Lecture by Emmanuel J. Candes,
                         California Institute of Technology
          "The Uniform Uncertainty Principle"
        ABSTRACT: We introduce a strong form of uncertainty relation
        and discuss its fundamental role in the theory of compressive
        sampling. We give examples of random sensing matrices obeying
        this strong uncertainty principle; e.g., Gaussian matrices.
          Introduction and summary will be provided by this week's
        moderator, Doug Cochran.

FRIDAY, September 28, 2007

        C*-ALGEBRA SEMINAR                           PSA 307   9.40 a.m.
        Steve Kaliszewski, Department of Mathematics and Statistics
          "C*-Algebras of Skew-Product Graphs, II"

        COMPUTATIONAL AND APPLIED MATHEMATICS PROSEMINAR
                                                     GWC 604   2.40 p.m.
        Bruno Welfert, Department of Mathematics and Statistics
          "On the Structure of the Spectrum of Alternate Direction
          Implicit Iteration Operators"
        ABSTRACT: We derive conditions for the ADI splitting of a
        conservative ordinary differential system to yield specific
        pairings of the eigenvalues of the iteration operator. The
        result is used to prove the dispersion relation of an ADI
        splitting for Maxwell's curl equations introduced in [1,2].
          [1] F. Zheng, Z. Chen and J. Zhang, "Toward the Development
        of a Three-Dimensional Unconditionally Stable Finite-Difference
        Time-Domain Method", IEEE Trans. Microwave Theory Tech.,
        vol. 48, pp. 1550-1558, Sep. 2000.
          [2] T. Namiki, "3-D ADI-FDTD Method--Unconditionally Stable
        Time-Domain Algorithm for Solving Full Vector Maxwell's
        Equations", IEEE Trans. Microwave Theory Tech., vol. 48,
        pp.1743-1748, Oct. 2000.

        MATH BIOLOGY SEMINAR                         PSA 102   3.40 p.m.
        Mustafa Erdem, Department of Mathematics and Statistics
          "Epidemics in Structured Populations with Isolation"
        ABSTRACT: This work has been motivated by the evolutionary
        dynamics of infectious diseases. Hence, the goal of this
        research addresses some of the challenges posed by the
        transmission dynamics of infectious diseases when the host
        population is highly heterogenous.
          Emphasis has been put in discussing our motivations and
        results in the context of influenza. Specifically, the role of
        cross-immunity and quarantine on the transmission dynamics of
        influenza within age-structured populations are studied.
        Thresholds, persistence, equilibria and their stability are
        found for models that include a quarantine class. For influenza
        type parameters, it was shown that periodic solutions can arise
        via Hopf bifurcation as the effectiveness of quarantine varies.
        The Hopf bifurcation surface and stable periodic solutions are
        found numerically. A system of delay differential equations
        modeling a fixed period of isolation is also studied.
        Conditions for the existence of periodic solutions and the
        possibility of stability switches are discussed for a
        distributed delay model. In addition, conditions that guarantee
        the local stability analysis of the disease-free steady-state
        distribution as well as the existence of an endemic steady-
        state distribution are established for SIQR (Susceptible-
        Infected-Quarantine-Recovered) models with age structure.