# Modern theory of wave equations

The Programme will focus mainly on the following aspects of the theory:

- Asymptotic behavior of waves on Lorentzian spacetimes and related resolvent estimates
- Scattering Theory, Resonances and Semi-classical Analysis
- Distinguished parametrices and Hadamard states in connection with Quantum Field Theory

**Lectures: **

11:00: Valter Moretti (U of Trento) "Local Hawking Radiation" (Flyer)**July 9, 2015,****July 10, 2015,**11:00: Christian Bär (U Potsdam) "Index Theory for for Lorentzian manifolds" (Flyer)**July 14, 2015,**11:00: Jeremy Mazuola (U of North Carolina) "Waves on surfaces with conical singularities" (Flyer)**August 6, 2015,**14:00: Alexander Strohmaier (Loughborough U) "The Dirac operator on curved spaces: Index Theorems, Spectral Theory & Gravity" (Flyer) - This is a joint seminar with the Gravitational Physics group.**August 19, 2015,**14:00: Kiril Datchev (Purdue U) "Exponential Resolvent Estimates and Applications" (Flyer)**August 20, 2015,**14:00: Luc Nguyen (Oxford U) "Maximal (hyper)surfaces in low dimensions" (Flyer) - This is a joint seminar with the Gravitational Physics group.**September 1, 2015,**14:00: Steve Zelditch (Northwestern U) "Heat kernel random Kaehler metrics" (Flyer)**September 2, 2015**, 14:00: Vesselin Petkov (U Bordeaux 1) "Location and Weyl formula for the eigenvalues of some non self-adjoint operators" (Flyer)**September 3, 2015**, 14:00: Leondid Parnovski (University College London) "Local Density of States and the spectral function of almost-periodic operators" (Flyer)**September 15, 2015,**14:00: Bernard Helffer (U Paris Sud): " Semiclassical Analysis for Schrödinger Operators with Magnetic Fields" (Flyer)

The programme contains **two workshops**:

**Workshop I**on "Semi-classical Analysis: Spectral Theory and Resonances"

**August 24 - 28, 2015** (Schedule plus Abstracts)

**Workshop II**on "Hyperbolic Equations on Spacetimes: Stability, microlocal Analysis and Quantum Field Theory"

**September 7 - 11, 2015 **(Schedule plus Abstracts)