Europe/Lisbon Unusual schedule
Room P3.10, Mathematics Building Instituto Superior Técnicohttps://tecnico.ulisboa.pt

Emily Casey

, University of Washington

A longstanding conjecture of Carleson stated that the tangent points of the boundaries of certain planar domains can be characterized by the behavior of the Carleson ε-function. This conjecture, which was fully resolved by Jaye, Tolsa, and Villa in 2021, established that having some Dini type control of the Carleson ε-function implied the existence of tangents. A natural question is whether quantitative control on this function implies better regularity results. In this talk, we will present results that give a positive answer to this question. This is ongoing work.

Financiado por fundos nacionais através da FCT – Fundação para a Ciência e a Tecnologia, I.P., no âmbito dos programas:
UID/MAT/00208/2013, UID/MAT/00208/2019, UIDB/00208/2020 e UIDP/00208/2020.
DOI: 10.54499/UIDB/00208/202010.54499/UIDP/00208/2020