Graduate Colloquium Spring 2010

Thursdays - 4:00 p.m.
Jack Baskin Engineering Room 301A
Tea is served at 3:50 p.m.
For further information please contact contact Zhe Xu at

April 15, 2010

The Canonical Induction Formula on Trivial Source Modules

Michael Miller 

In 1946 Brauer proved that given a finite group G the induction map is a surjection from the ring of linear virtual characters to the ring of virtual characters. Robert Boltje showed there is a natural section (way to map backwards) for Brauer's induction map when he defined the Canonical Induction Formula (1989). We will look at the C.I.F. on the ring of isomorphism classes of trivial source modules and state a conjecture about one of its properties in this setting.

May 27, 2010

On a Fundamental Question Involving Area Minimizing Surfaces

Professor Tony Tromba, UCSC Department of Mathematics 

I will present a version of my lecture at the Swiss Academy's Basel Symposium honoring the life and work of Leonhard Euler on the occasion of his 300TH birthday. We shall consider methods of how to extend Euler and Lagrange's results connecting partial differential equations with the Calculus of Variations and their applications to least area surfaces and Plateau's Problem.