Speaker
Arian Nadjimzadah, University of California, Los Angeles
Abstract
OpenAI recently resolved the local smoothing conjecture in all dimensions, and hence the classical restriction and Kakeya conjectures. What problems are left? I will discuss the still mysterious variable-coefficient perturbations of restriction and Kakeya—Hörmander’s oscillatory integral problem and curved Kakeya problems—and how the classical conjectures can and cannot help.