Orateur
Piotr Hajłasz
Description
The main theme of this talk is the study of mappings—primarily continuously differentiable and Lipschitz—that are critical everywhere, in the sense that the rank of their derivative is small at every point. Such mappings arise naturally in a variety of contexts across analysis, geometry, and topology. I will show how ideas from different areas combine to address fundamental questions about these mappings, with emphasis on problems related to approximation, homotopy, contact structures, Heisenberg groups, and analysis on metric spaces.