Determinants of Laplacians and Random Surfaces

Abstract

In this talk we will discuss the asymptotic behavior of determinants of Laplacians on random surfaces of large genus. We will motivate this problem by questions related to quantum field theory and topology of hyperbolic manifolds.

Determinants of Laplacians and Random Surfaces

Abstract

Documents and media

Speaker(s)

Frédéric Naud

Events

Graph and surface spectra (1)

Curves, Surfaces and Intersection

Regular graphs : Laplacian spectrum and geodesic flow correlation decay (1)

Prescribing the Spectra of Cubic Graphs

Regular graphs : Laplacian spectrum and decay of geodesic flow correlations (2)

Circuit QED Lattices: From Synthetic Quantum Systems to Spectral Graph The…

Laplacian spectrum and decay of geodesic flow correlations on hyperbolic surfaces (I)

Determinants of Laplacians and Random Surfaces

Laplacian spectrum and decay of geodesic flow correlations on hyperbolic surfaces (II)

Spectral projectors on hyperbolic surfaces

Regularity of resonant states on a compact hyperbolic surface

Poincaré Series and Convex Bodies on Flat Tori

Value in 0 of the Poincaré series of surfaces and graphs

Ruelle resonances for the geodesic flow on non-compact varieties

Optimal spectral hole for random regular graphs, after J. Friedman (I)

Low-Temperature Quantum Bounds on Curved Manifolds

Optimal spectral hole for random regular graphs, after J. Friedman (II)

From the geodesic flow to the wave equation on an Anosov variety

See also