Wahl Lab

University of Copenhagen

Danmark (DK0) · Denmark

ERC-funded
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Research focus

ERC Consolidator Grant · 2017

Loops and groups: Geodesics, moduli spaces, and infinite discrete groups via string topology and homological stability

This proposal lies at the intersection of algebra, topology, and geometry, with the scientific goal of answering central questions about homological stability, geodesics on manifolds, and the moduli space of Riemann surfaces. Homological stability is a subject that has seen spectacular progress in recent years, and recent work of the PI has opened up new perspectives on this field, through, among other things, associating a canonical family of spaces to any stability problem. The first two goals of the proposal are to give conditions under which this family of spaces is highly connected, and to use this to prove homological and representation stability theorems, with determination of the…

From the public funding record at EU CORDIS. Describes the funded project, not the reviews below.

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