December 11 - 17, 2000


Monday, December 11, 2000


Tuesday, December 12, 2000

2:30 PM     Algebra Seminar     459 MSc
      Pamela RICHARDSON, BGSU
      "Introduction to Cwatsets"
      ABSTRACT: A cwatset is a subset of binary n-space that is closed
      (c) with (w) a (a) twist (t).  For example, C = {000,110,101} is
      a cwatset because;
              C + 000 = C,
              C + 110 = {110,000,011} is just
      C with the first two components of each element transposed,
              C + 101 = {101,011,000} is just C
      with the first and last components of each element transposed.

      That is, for each element c of C there exists a permutation, pi,
      of three symbols such that the coset c + C is just C with pi
      applied to the components of each element of C.

      The theory of cwatsets, which was initiated at Rose-Hulman
      Institute of Technology in 1986, has roots in statistics (a
      cwatset determines a confidence interval for the mean or median
      of a symmetric random variable) and blossoms in graph theory
      (each isomorphism class of simple graphs has a unique cwatset
      associated with it) and algebra.

      In this talk, we will concentrate on the algebraic properties of
      cwatsets.  In particular, we will discuss the group-like
      properties of cwatsets that have been discovered so far as well
      as the many questions that have not been answered.


4:00 PM - 6:00 PM  President Ribeau's Holiday
                    Open House
                    McFall Gallery


Wednesday, December 13, 2000



Thursday, December 14, 2000

2:30 PM - 4:30 PM    Math/Stat Department
                      Holiday Party


Friday, December 15, 2000

3:30 PM     COLLOQUIUM     459 MSc
      Jay GOPALAKRISHNAN, University of Minnesota
      "Mathematical Modeling of Catheter Ablation"

      ABSTRACT: Catheter ablation is now commonly used for treating
      cardiac arrhythmias.  This talk will describe the basic
      principles and simplifications used to arrive at a set of
      partial differential equations that model ablating cardiac
      tissue. A finite element approach for numerically solving these
      equations will also be described.  One goal of this study is to
      mathematically predict lesion sizes and their variation with
      electrode parameters and blood flow rate. Some partial results
      from work in progress will be shown.