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Hyperbolic groups are central objects in Geometric Group Theory. Anosov representations of these groups are thought to be linear versions of these groups: many objects naturally associated with hyperbolic groups have a linear avatar in the presence of an Anosov representation.
For instance, the boundary at infinity of a hyperbolic group naturally embeds as a subset of a flag manifold for an Anosov representation.
The AnSur project aims to study the global geometry of the space of deformations of Anosov representations, with a strong emphasis on positive ones and their relation with Geometric Analysis. Our goal is to use various techniques from geometric PDE to combinatorics in that study. Notably, we wish to study how asymptotic data, such as the limit set in the flag manifold, interact with solutions of PDEs of geometric origin, for instance, those of Higgs bundle origin.
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For inquiries regarding the research aspects of the position, contact Prof. François LABOURIE - [email protected]
the contract starting date could be from 01.01.2027 to 01.09.2027
Duration is 1 year and up to 2 years depending on the start date.
Contract Start Date : 01/01/2027
Activity Rate : 100.00
Contract Type: CDD
Duration: 1 year, renewable up to two years
Reference: 2416
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