Calendar

Sogge's local smoothing conjecture for the wave equation predicts that the local \(L^p\) space-time estimate gains a fractional derivative of order almost \(1/p\) compared to the fixed time \(L^p\) estimates, when \(p>2n/(n-1)\). Jointly with Larry Guth and Hong Wang, we recently proved the conjecture in \(bb{R}^{2+1}\). I will talk about our proof and explain several important ingredients such as induction on scales and an incidence type theorem.