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Miniworkshop "Noncommutative geometry and harmonic analysis": Part 1. "Metric spaces as a domain for harmonic analysis"
Special Events| Speaker: | John Roe, Penn State |
| Location: | 3106 MSB |
| Start time: | Mon, Nov 10 2014, 3:10PM |
Classical harmonic analysis is analysis on spaces with symmetry - the symmetry manifesting itself via groups and their representations. A (discrete) metric space may have few symmetries (isometries or translations) but it still admits a form of harmonic analysis via the not everywhere defined, approximate symmetries called "partial translations". In this survey talk I'll explain how the study of partial translations captures the large scale structure of a metric space and leads naturally to natural notions such as band-dominated operators, ghosts, and property A.