TETRAHEDRAL GEOMETRY/TOPOLOGY SEMINAR

 

  FIRST ANNOUNCEMENT

 

 

DATE:               Friday, September 9, 2005            

 

LOCATION:     Hempfield High School, Room 213 (directions attached)                

                           followed by dinner at a place to be determined.

 

4:45 TALK:       Herman Gluck, University of Pennsylvania

 

                           "The Gauss Linking Integral on the 3-sphere and in hyperbolic 3-space"

              

                           ABSTRACT: In this talk, which represents joint work with Dennis DeTurck, I will

                           introduce explicit integral formulas for linking, twisting, writhing and helicity on the

                           3-sphere and in hyperbolic 3-space.  They are obtained by developing and then

                           applying a steady-state version of classical electrodynamics in these two spaces,

                           including an explicit formula for the vector-valued Green's operator, an explicit formula

                           of Biot-Savart type for the magnetic field, and a corresponding Ampere's law contained

                           in Maxwell's equations.  All the formulas, like their prototypes in Euclidean 3-space, are

                           geometric rather than just topological, in the sense that their integrands are invariant

                           under orientation-preserving isometries of the ambient space. An announcement of most

                           of these results, and a hint of their proofs, can be found in the Math ArXiv,

                           math.GT/0406276.

 

 

     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.