Geometric parametrization of metric spaces
Main funder
Funder's project number: 356262
Funds granted by main funder (€)
- 15 380,00
Funding program
Project timetable
Project start date: 01/03/2023
Project end date: 28/02/2025
Summary
Given a metric space X, under which analytic or geometric conditions can we find good geometric mappings from Euclidean domains to X? We plan to prove quasiconformal uniformization results for metric surfaces with infinite genus. Moreover, we hope to establish a quasiconformal Reifenberg theory for Euclidean subsets. Finally, we aim to extend Toro's parametrization results from two dimensions to all even dimensions.
