Week of September 14 - 18

Monday, September 14

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

Tuesday, September 15

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

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

Wednesday, September 16
 
 2:30 STATISTICS SEMINAR  - Room 459 MSC
      Gabor Szekely, Mathematics and Statistics, BGSU 
      "Quadratic forms in statistics: a new method for constructing tests"

Thursday, September 17

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

Friday, September 18

 3:30 Coffee
 3:45 COLLOQUIUM  - Room 459 MSC
      Warren McGovern, Mathematics and Statistics, BGSU 
      "The ring of quotients of C(X) determined by the fixed filter F"
      Abstract: Recall that the classical ring of quotients of a
        commutative ring A with identity, 1, may be obtained as the
        set of all fractions of elements in the ring A, where the
        denominators are non-divisors of zero (or regular elements.)
        Our ring in question is C(X) the ring of all real-valued
        continuous functions from the topological space X.  Denoting
        the classical ring of quotients of C(X) by q(X) we may obtain
        q(X) as a direct limit q(X) = lim C(U), where the U range over
        all dense cozerosets of X.

        (Here a cozeroset of X means a set which is realized as the
        inverse image of the set of nonzero real numbers, under a
        continuous function.)  The collection of all dense cozerosets
        forms a nice set; in particular it is closed under finite
        intersections and unions.

        In the remaining minutes, we shall discuss the ring of
        quotients obtained by taking the above direct limit, but where
        the sets U are assumed to simply be co-finite subsets of X.
        We shall characterize those spaces X for which this ring of
        quotients is contained in q(A).

Saturday, September 19

 8:30 Breakfast
 9:00 FACULTY RETREAT  - Nazareth Hall, Grand Rapids