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Harmonic mappings on Grushin spaces
- Speaker(s)
- Marcin Walicki
- Affiliation
- Politechnika Warszawska
- Language of the talk
- English
- Date
- March 12, 2026, 12:30 p.m.
- Room
- room 5070
- Seminar
- Seminar of Mathematical Physics Equations Group
The goal of the talk is to discuss harmonic functions (maps) with domain contained in the Grushin space and a Euclidean target. Such maps can have various definitions (not all equivalent); the most common is a solution to a specific hypoelliptic PDE. We introduce a different approach and provide a justification for it, based on the internal geometry of the space.
As a preliminary, we will define Grushin spaces and present sufficient conditions for the well-definiteness of the related Carnot-Carathéodory distance.
The presentation is based on joint work with Tomasz Adamowicz (IMPAN) and Ben Warhurst
