2014

I will explain how one can formulate and formalize the Gupta Bleuler framework for the Quantization of the electromagnetic field in an

Dynamical zeta functions of Selberg, Smale and Ruelle are analogous to the Riemann zeta function with the product over primes replaced by

The study of the asymptotic behavior of higher spin fields has proven to be a key point in understanding the stability properties of

TBA

I will discuss the initial value problem for the Einstein equations and present results concerning the existence and asymptotic behavior of

The Christodoulou Klainerman proof of existence of asymptotically simple space-­times shows that it is reasonable to consider the scattering of

Motivated by wave decay for Kerr and Kerr de Sitter black holes, we study spectral gaps for codimension 2 normally hyperbolic trapped sets with

In the algebraic approach to quantum field theory on curved backgrounds, there exists a special class of quantum states for free fields,

TBA

I will discuss energy and Morawetz (or integrated local decay) estimates for fields outside black holes. These results build on results for

Conserved quantities, for example energy and momentum, play a fundamental role in the analysis of dynamics of particles and fields. For

In this talk we address some issues concerning the wave propagation in the 4D+1 anti de Sitter space time : the role of the conformal

In this talk I will describe recent work with Peter Hintz on globally solving quasilinear wave equations in the presence of trapped rays,

In these lectures I will explain the basics of microlocal analysis, emphasizing non elliptic problems, such as wave propagation, both on manifolds without boundary, and on manifolds with boundary. In

In these lectures I will explain the basics of microlocal analysis, emphasizing non elliptic problems, such as wave propagation, both on manifolds without boundary, and on manifolds with boundary. In

In these lectures I will explain the basics of microlocal analysis, emphasizing non elliptic problems, such as wave propagation, both on manifolds without boundary, and on manifolds with boundary. In

In these lectures I will explain the basics of microlocal analysis, emphasizing non elliptic problems, such as wave propagation, both on

In order to control locally a space time which satisfies the Einstein equations, what are the minimal assumptions one should make on its

In order to control locally a space time which satisfies the Einstein equations, what are the minimal assumptions one should make on its

In order to control locally a space-­‐time which satisfies the Einstein equations, what are the minimal assumptions one should make on its curvature tensor? The bounded L2 curvature conjecture roughly

In order to control locally a space-­‐time which satisfies the Einstein equations, what are the minimal assumptions one should make on its curvature tensor? The bounded L2 curvature conjecture roughly

In order to control locally a space-­‐time which satisfies the Einstein equations, what are the minimal assumptions one should make on its

Conformal compactification has long been recognised as an effective geometric framework for relating conformal geometry, and associated field theories `

After recalling some features (and the value of) the invariant ``Ricci calculus'' of pseudo-­‐Riemannian geometry, we look at conformal rescaling from an elementary perspective. The idea of conformal

After recalling some features (and the value of) the invariant ``Ricci calculus'' of pseudo-­‐Riemannian geometry, we look at conformal rescaling from an elementary perspective. The idea of conformal

After recalling some features (and the value of) the invariant ``Ricci calculus'' of pseudo-­‐Riemannian geometry, we look at conformal rescaling from an elementary perspective. The idea of conformal

After recalling some features (and the value of) the invariant ``Ricci calculus'' of pseudo-­‐Riemannian geometry, we look at conformal rescaling

we will review a new construction of Hadamard states for quantized Klein-­‐Gordon fields on curved spacetimes, relying on pseudo differential

The aim of these lectures is to give an introduction to quantum field theory on curved spacetimes, from the point of view of partial differential equations and microlocal analysis. I will concentrate

The aim of these lectures is to give an introduction to quantum field theory on curved spacetimes, from the point of view of partial differential equations and microlocal analysis. I will concentrate

The aim of these lectures is to give an introduction to quantum field theory on curved spacetimes, from the point of view of partial differential equations and microlocal analysis. I will concentrate

The aim of these lectures is to give an introduction to quantum field theory on curved spacetimes, from the point of view of partial differential equations and microlocal analysis. I will concentrate

Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in

Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in

Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in

Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black hole spacetime, which is describes a rotating black hole in

Black holes play a central role in general relativity and astrophysics. The problem of proving the dynamical stability of the Kerr black