Interpolation of families of Banach lattices and uniform homeomorphisms of spheres

• Grant number: 23/18060-1
• Support Opportunities: Scholarships abroad - Research Internship - Doctorate
• Start date: February 01, 2025
• End date: January 31, 2026
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Valentin Raphael Henri Ferenczi
• Grantee: Giulia Cardoso Fantato
• Supervisor: Pedro Tradacete
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Institution abroad: Instituto de Ciencias Matemáticas (ICMAT), Spain
• Associated to the scholarship: 23/07557-2 - Uniform homeomorphisms in interpolation scales of Banach spaces families, BP.DR

Abstract

The objective of this research visit is to refine some results relative to uniform homeomorphisms between spheres in interpolation scales. In the Phd project, results of Daher on homemorphisms of spheres induced by interpolation of two spaces are being extended to the case of interpolation of a family of spaces. In the present project, we aim to investigate the particular form that thesegeneral results take when the family of interpolated spaces have a common lattice structure.