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Analysis Seminar

Thursday, February 27, 2020 - 3:00pm to 4:00pm

Hong Wang

IAS

Location

University of Pennsylvania

4C8, DRL

We prove a sharp square function estimate for the cone in $\mathbb{R}^3$ and consequently Sogge's local smoothing conjecture for the wave equation in $2+1$ dimensions. The proof uses an incidence estimate for points and tubes and induction on scales. This is joint work with Larry Guth and Ruixiang Zhang.