CORDIS Project
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This project investigates group theory's connections to geometry and dynamics through three independent components. It aims to address longstanding conjectures and develop new theories regarding unitarizable representations and spaces of non-positive curvature.
Our proposal has three components:1.
Unitarizable representations.2.
Spaces and groups of non-positive curvature.3.
Bounds for characteristic classes.The three parts are independent and each one is justified by major well-known conjectures and/or ambitious goals.
Nevertheless, there is a unifying theme:
Group Theory and its relations to Geometry, Dynamics and Analysis.In the first part, we study the Dixmier Unitarizability Problem.
Even though it has remained open for 60 years, it has witnessed…
ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
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