CRM: Centro De Giorgi
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ERC Workshop on Geometric Analysis on sub-Riemannian and Metric Spaces

Invariants and heat kernels in 3D contact sub-Riemannian geometry

speaker: Davide Barilari (SISSA, Trieste)

abstract: In this talk describe the two functional invariants of a 3D contact sub-Riemannian structure, discussing their role in the classification of left-invariant sub-Riemannian structures on three dimensional Lie groups.
We then explicitly compute, in the case of a 3D contact structure, the first two coefficients of the small time asymptotics expansion of the heat kernel on the diagonal, expressing them in terms of the two basic functional invariants.


timetable:
Mon 10 Oct, 17:30 - 18:00, Aula Dini
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