SPECIAL SUMMER MEETING OF THE

       TETRAHEDRAL GEOMETRY/TOPOLOGY SEMINAR

                                                                   FIRST ANNOUNCEMENT

DATE:                 Friday, July 10, 2009                      

LOCATION:        Millersville University, Room 112, Wickersham Hall                   

                           followed by dinner at a local restaurant to be determined.

4:30 TALK:  Ainhoa Berciano, University of the Basque Country, Leioa, Spain

                           “Decomposing Cavities in Digital Volumes into Products of Cycles”

           Abstract: Although homology describes the topology of 3D objects in terms of connected

                           components, tunnels and cavities, it fails to resolve all matching and pattern recognition

                           problems that arise in computer imaging.  To enrich the topological tools available to us,

                           we define two maps Delta_2 and Delta_3 on homology.  The map Delta_2 is homologically

                           dual to the cup product, and Delta_3 is the coassociator when the object is simply-connected. 

                           But whether or not Delta_3 is the coassociator in the non-simply connected setting is an open

                           question.  We exhibit experimental results for some simple 3D digital images.

     EVERYONE WELCOME

       PLEASE FORWARD THIS ANNOUNCEMENT TO ANYONE INTERESTED

           The Tetrahedral Geometry/Topology Seminar is sponsored jointly by

Elizabethtown College, Franklin & Marshall College, Lebanon Valley College and Millersville University.