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Nonlinear Analysis Seminar and Differential Equation Seminar: Shaoming Guo, University of Wisconsin Madison, Oscillatory integral operators on manifolds and related Kakeya and Nikodym problems
September 27 | 3:00 pm - 4:00 pm EDT
The talk is about oscillatory integral operators on manifolds. Manifolds of constant sectional curvatures are particularly interesting, and we will see that very good estimates on these manifolds can be expected. We will also discuss Kakeya and Nikodym problems on general manifolds, in particular, manifolds satisfying Sogge’s chaotic curvatures.