PDEA Seminar: Quasiconformal maps and the Burkholder Area Inequality
- Date: 5 September 2023, 10:15–11:15
- Location: Ångström Laboratory, Å64119
- Type: Seminar
- Lecturer: André Guerra
- Organiser: Matematiska institutionen
- Contact person: Kaj Nyström
Welcome to this seminar held by André Guerra with the title "Quasiconformal maps and the Burkholder Area Inequality".
Abstract: The Burkholder function is a “master function” which rules the sharp integrability properties of mappings in the plane. In this talk we will present an optimal estimate for the Burkholder energy of quasiconformal maps, in the spirit of the classical Grönwall-Bieberbach area formula. This estimate establishes a bridge between Complex Analysis, Harmonic Analysis and the Calculus of Variations. The talk is based on joint work with K. Astala, D. Faraco, A. Koski and J. Kristensen.
This is a seminar in the PDEs and Applications seminar series