2008 DG-MP-PDE Seminar - 04

• Date: 02/07/2008
Lecturer(s):
Michael Greenblatt (University of Illinois at Chicago)
Location:

University of British Columbia

Topic:

Newton Polyhedra and Sharp Estimates for Oscillatory Integrals

Description:

Varchenko described how one can obtain sharp estimates for scalar
oscillatory integrals when the Newton polyhedron of the phase satisfies
a certain nondegeneracy condition. These estimates can be described in
a nice geometric way in terms of this Newton polyhedron. We will
describe how these estimates still hold under weaker conditions; the
proof uses resolution of singularities methods. We then will describe a
class of functions for which the weaker conditions can not be weakened
further. Further generalizations will also be discussed.

Schedule:

3:30pm, WMAX 110