Departmental Colloquium
William Fulton
University of Michigan
Character formulas
Abstract: In this expository talk, we show how a Riemann-Roch formalism leads to a
simple proof of a general formula for restrictions of equivariant line
bundles to fixed points. On homogeneous varieties it gives Weyl's
character formula, and on toric varieties it gives Brion's formula for
lattice points in polytopes. This is based on ideas of George Quart in the
1970's and recent conversations with Bill Graham.
Friday October 16, 2009 at 3:00 PM in Lecture Center D4