Week of September 21 - 25

Monday, September 21

 3:30 ANALYSIS SEMINAR  - Room 459 MSC
      Kit Chan, Mathematics and Statistics, BGSU 
      "Hypercyclicity and universality -- an overview part 2"

Tuesday, September 22

10:30 ALGEBRA SEMINAR  - Room 459 MSC
      Warren McGovern, Mathematics and Statistics, BGSU 
      "Lattice-ordered groups: hyper-archimedean l-groups"

 3:30 GROUPS AND GEOMETRIES SEMINAR  - Room 459 MSC
      Curt Bennett and Sergey Shpectorov, Mathematics and Statistics, BGSU 
      "The Witt design and the sporadic Mathieu groups"

Wednesday, September 23
 
 2:30 STATISTICS SEMINAR  - Room 459 MSC
      Craig Zirbel, Mathematics and Statistics, BGSU 
      "Rate of convergence for Markov chains"

Thursday, September 24

 3:30 GROUPS AND GEOMETRIES SEMINAR  - Room 459 MSC
      Curt Bennett and Sergey Shpectorov, Mathematics and Statistics, BGSU 
      "The Witt design and the sporadic Mathieu groups"

Friday, September 25

 3:30 Coffee
 3:45 COLLOQUIUM  - Room 459 MSC
      Juan Bes, Mathematics and Statistics, BGSU 
      "Hypercyclic operators"
      Abstract: Let X be an F-space (i.e., a complete linear metric
        space). A continuous linear operator T on X is said to be
        hypercyclic, provided there is some x in X whose orbit { x ,
        Tx , T^2x, .... } is dense in X.  If so, x is called a
        hypercyclic vector for T.

        This notion arises naturally in the study of invariant
        subsets, but it may also be traced back to a theorem of
        G. D. Birkhoff in 1929, that shows the existence of a
        "universal" entire function f whose set of translates {f(z+1),
        f(z+2), .... } approximate, over any compact set, any entire
        function as accurately as desired.

        We will state a "Birkhoff" theorem for the complete algebra
        generated by the dual of a Banach space, a characterization of
        those operators whose direct sum T+T is hypercyclic, and some
        results concerning the sets of hypercyclic vectors.