Pure Maths Colloquium: Christopher Sogge
This talk is part of the Pure Maths Colloquium at the University of St Andrews. Check out our upcoming talks at https://theran.lt/pure-colloquium/.
| Where: | Lecture Theatre C |
| When: | Apr 18 2019 @ 16.00 | Video: | Not recorded |
| Speaker: | Christopher Sogge Johns Hopkins University |
| Title: | Sharp local smoothing estimates for Fourier integral operators |
We present joint work with D. Beltran and J. Hickman on sharp local smoothing estimates for general Fourier integral operators. Local smoothing bounds imply major estimates in harmonic analysis, including Bochner-Riesz estimates, oscillatory integral estimates and bounds for the size of Besicovitch sets and related problems involving Kakeya maximal functions. Our work gives a sharp resolution to the most general form of the local smoothing problem formulated by the speaker in the early 1990s. We rely on decoupling estimates of Bourgain and Demeter.