Mathematics Colloquium

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Geometric Considerations in Harmonic Analysis

Speaker: Philip Gressman, Mathematics, Upenn

Location: Warren Weaver Hall 1302

Date: Monday, March 5, 2012, 3:45 p.m.

Synopsis:

The talk will begin with a broad-stroke history of the last century of development in harmonic analysis, with particular attention paid to the latter half and the rise of geometric questions (e.g., the Fourier restriction problem). We will then introduce a relatively new sort of curvature condition (with distinct harmonic analysis appeal) due to D. Oberlin and discuss several recent results aiming at a better understanding of the Oberlin condition.