distinguished lecture series presents

Johannes Sjostrand

Institut de Mathématiques de Bourgogne

Research Area

Partial differential equations and functional analysis

Visit

Tuesday, March 10, 2020 to Thursday, March 12, 2020

Location

MS 6627

Phase space analysis with exponential weights and non-self-adjoint spectral problems.

abstracts
Analytic wavefront sets, local FBI-transforms and pseudodifferential operators on exponentially weighted spaces of holomorphic functions – Propagation of singularities, eigenvalues of non-self-adjoint operators and resonances in the semi-classical limit – a survey.
Eigenvalues of elliptic operators – a) The analytic case, using semi-global weighted spaces. b) The case of random perturbations (general Weyl law).
Resonances – Global weighted spaces. The role of trapped classical trajectories. Potential well in an island for a semi-classical Schrödinger operator, shape resonances and higher levels.
recordings & notes
Lecture 1
Lecture 2
Lecture 3
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