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

distinguished lecture series presents

Partial differential equations and functional analysis

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

MS 6627

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.

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