About :
The aim of this conference is to gather researchers around stochastic PDEs bringing together interests from probability, analysis and mathematical physics.
The Anderson Hamiltonian in the continuous setting of spatial white noise is an example of interplays between probability and analysis, such as spectral theory or evolution PDEs in a spatial rough random environment. Stochastic analysis tools are crucial in the study of measures on paths with various motivations such as random continuum polymers or invariant measures of Hamiltonian PDEs. One can also study the evolution of non-equilibrium measure for Hamiltonian systems with the large scale limits of particle systems or random waves for turbulence involving kinetic equations. Recent major progress in singular SPDEs provides a new approach to constructive Quantum Field Theory following the study of Markov processes in infinite dimensions. In particular, this motivates the study of SPDEs on manifolds to construct and study Yang-Mills theories.
- Talks
- Anderson Hamiltonian
- Laure Dumaz (ENS Paris)
- Immanuel Zachhuber (FU Berlin)
- Random continuum polymers
- Quentin Berger (Univ. Sorbonne Paris Nord)
- Clément Cosco (Univ. Paris Dauphine)
- Random waves and particles
- Erwan Faou (INRIA Bretagne Atlantique)
- Isabelle Gallagher (ENS Paris)
- Quantum Field Theory
- Ilya Chevyrev (Univ. of Edinburgh)
- Viet Dang (Univ. de Strasbourg)
- Dispersive PDEs and randomness
- Nicolas Camps (Univ. de Rennes)
- Tristan Robert (Univ. de Lorraine)
Organisers
Hugo Eulry (ENS Lyon)
Antoine Mouzard (Univ. Paris Nanterre)