COLLOQUIUM
3:00 p.m., Friday (February 8, 2008)
Math Annex 1100
Michael Greenblatt
SUNY at Buffalo
Resolution of Singularities and Analysis
Abstract:
We will describe some recent applications of resolution of singularities
methods to questions of interest in analysis. In particular, we will
describe a recent local resolution of singularities algorithm of the
speaker for realanalytic functions. This algorithm is elementary and
selfcontained, and makes extensive use of Newton polyhedra and local
coordinate systems. Some applications will be given. These include
applications to oscillatory integrals, asymptotic expansions for
sublevel set volumes, and the determination of the supremum of the
positive e for which f^{e} is locally integrable. Here f denotes a
realanalytic function.
Refreshments will be served at 2:45 p.m. (Math Lounge, MATX 1115).
