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The "Audiovisual Mathematics Library" is a sophisticated platform built on a corpus of talks given by worldwide mathematicians during their stay at CIRM. This new tool provides the functionalities of a high level search applied to indexed and enriched videos.

This platform is organized around 3 collections

Research talks

Special events

Outreach

Three types of audiovisual sources

Single angle : HD - 1 camera - static shot.

Multi angle   : HD - 3 cameras - edited while filming

Post-edited  : HD - 3 cameras and post edited - post edited and indexed with keywords and key concepts given by the speaker. These tags enable sequencing and viewing of chosen extracts.

Video of the week

Post-edited

Tags: to use tags, start the video and click on any tag to move forward
hyperbolic surfaces / conformal compactification / geodesic flow / geometry of the unit tangent bundle / Ruelle resonances / quantum resonances / correspondence between Ruelle and quantum resonances / questions of the audience /

Latest Videos

Post-edited Emergent anyons in quantum Hall physics

Anyons are by definition particles with quantum statistics different from those of bosons and fermions. They can occur only in low dimensions, 2D being the most relevant case for this talk. They have ...

Post-edited School on the mathematics of strings theory : introduction

This school consists of an array of courses which at first glance may seem to have little in common. The underlying structure relating gauge theory to enumerative geometry to number theory is string ...

Post-edited Unramified graph covers of finite degree

Given a finite connected undirected graph $X$, its fundamental group plays the role of the absolute Galois group of $X$. The familiar Galois theory holds in this setting. In this talk we shall ...

Post-edited Perturbative techniques of the dynamics in the $C^1$-topology

These lectures will address the dynamics of vector fields or diffeomorphisms of compact manifolds. For the study of generic properties or for the construction of examples, it is often useful to be ...

Multi angle The wave equation for Weil-Petersson metrics

In this somewhat speculative talk I will briefly describe recent results with Xuwen Zhu on the boundary behaviour of the Weil-Petersson metric (on the moduli space of Riemann surfaces) and ongoing ...

Multi angle A Polyakov formula for sectors

Polyakov's formula expresses a difference of zeta-regularized determinants of Laplace operators, an anomaly of global quantities, in terms of simple local quantities. Such a formula is well known in ...

Multi angle Quantum Sabine law for resonances in transmission problems

We prove a quantum Sabine law for the location of resonances in transmission problems. In this talk, our main applications are to scattering by strictly convex, smooth, transparent obstacles and ...

Multi angle Hyperbolic triangles with no positive Neumann eigenvalues

In joint work with Luc Hillairet, we show that the Laplacian associated with the generic finite area triangle in hyperbolic plane with one vertex of angle zero has no positive Neumann eigenvalues. ...
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