Seminar
A Kakeya maximal function in the (first) Heisenberg group
Department's Seminar
Series:
9 April 2024
Start time
3:00 pm
PovoZero - Via Sommarive 14, Povo (Trento)
Physics Seminar Room, ground floor
share
Target audience:
University community
UniTrento students
Attendance:
Free
Contact person:
Andrea Pinamonti
Contact details:
Università degli Studi Trento 38123 Povo (TN) - Staff Dipartimento di Matematica
+39 04 61/281508-1625-1701-3786-1980
Speaker:
Pietro Wald (University of Warwick)
Abstract
The Kakeya conjecture is a prominent open problem in analysis, sitting at the intersection of geometric measure theory, harmonic analysis, and PDE.
In this talk, I will introduce the (first) Heisenberg group and a notion of Kakeya set in this setting. I will then discuss the corresponding Kakeya conjecture (first solved by J. Liu) and present a new solution based on a suitable adaptation of the Kakeya maximal function to the Heisenberg group. This is based on joint work with K. Fässler and A. Pinamonti.