CMAF-CIO

    Compactification of Character Varieties

    Sean Lawton
    George Mason University - U.S.A.

    Abstract: In this talk we will first discuss a general procedure for compactifying G-character varieties of discrete groups, where G is a semisimple algebraic group of adjoint type over an algebraically closed field. We will then discuss various properties of this compactification in special cases of the discrete group. This work is in collaboration with Dan Ramras and Indranil Biswas.

    Integration in non-archimedean real closed fields with archimedean value group (part 2)

    Mário Edmundo
    CMAF-CIO, Universidade de Lisboa

    Abstract: In this seminar we present (some of) the recent the work of Tobias Kaiser (Univ. Passau) establishing, for the categories of semi-algebraic functions, globally sub-analytic functions and more generally constructible functions on non archimedean real closed fields with archimedean value group, a full Lebesgue like integration theory.

    Evolution Processes generated by Semilinear Parabolic Equations

    Carlos Rocha
    CAMGSD - Instituto Superior Técnico

    Abstract: We consider small nonautonomous perturbations of autonomous evolution processes generated by certain scalar semilinear parabolic differential equations. Extending the notion of Morse-Smale dynamical system to the nonautonomous framework we show that under generic assumptions the above evolution processes are Morse-Smale.

    This is a joint work with Radoslaw Czaja and Waldyr Oliva.

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