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Content archived on 2024-06-18

The analysis of the Dirac operator: the hypoelliptic Laplacian and its applications

Objective

This proposal is devoted to the applications of a new hypoelliptic Dirac operator,
whose analytic properties have been studied by Lebeau and myself. Its construction connects classical Hodge theory with the geodesic flow, and more generally any geometrically defined Hodge Laplacian with a dynamical system on the cotangent bundle. The proper description of this object can be given in analytic, index theoretic and probabilistic terms, which explains both its potential many applications, and also its complexity.

Fields of science (EuroSciVoc)

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Topic(s)

Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.

Call for proposal

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ERC-2011-ADG_20110209
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Funding Scheme

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ERC-AG - ERC Advanced Grant

Host institution

UNIVERSITE PARIS-SUD
EU contribution
€ 1 112 400,00
Address
RUE GEORGES CLEMENCEAU 15
91405 ORSAY CEDEX
France

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Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

No data

Beneficiaries (1)

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