Speaker: Antoine Levitt, Univ Paris, Orsay
Title: Numerical integration for periodic spectral problems
Abstract: The spectral properties of periodic operators are a fundamental object of study in many application fields, notably condensed matter physics. Several properties of physical interest are conveniently turned into integrals of periodic functions over the Brillouin zone using the Bloch-Floquet transform. Of interest are ground state properties of insulators (smooth integrands), metals (discontinuous integrands) and spectral properties of materials (singular integrands). I will review the broader context, and present in particular recent results on integration methods.
Bio: Antoine Levitt is a Professeur Junior (CPJ) at the Laboratoire de Mathématiques d'Orsay, Université Paris-Saclay (bureau 2G1). Before Nov 2022, he was a researcher (CR) at Inria Paris, in the MATHERIALS project-team, located at CERMICS, Ecole des Ponts. His research interest includes development and analysis of numerical methods in quantum chemistry and materials science.
In person attendance at this seminar is only open to Columbia Univesity affiliates. External guests are welcome to attend remotely. Please contact [email protected] if you need the Zoom link for this seminar.