New and Old Observations About Morrey's Quasi-Convexity

This lecture titled "New and Old Observations About Morrey's Quasi-Convexity" is presented by Vladimir Sverak from the Institute for Advanced Study as part of the Joint IAS/PU Analysis Seminar. Taking place on April 21, 2025, at 4:30pm in Simonyi Hall 101 (with remote access available), the 51-minute talk explores the concept of Morrey's quasi-convexity. Learn about the notion of singular support, which originated in partial differential equations theory and was later introduced to constructible sheaves by Kashiwara and Schapira in the 1970s. Discover how this basic invariant, along with characteristic cycles, has applications across multiple fields including partial differential equations, geometric Langlands, and exponential sums. The lecture examines singular support in three contexts: complex analytic spaces (Kashiwara and Schapira), algebraic varieties (Beilinson, T. Saito), and rigid analytic varieties (ongoing research).