Rigidity of Marked Length Spectrum for Anosov Surfaces

Abstract

On closed surfaces with Anosov geodesic flow, it is conjectured that the marked length spectrum (the length of closed orbits in fixed homotopy classes) determines the metric up to isometry. This is the analogue to Michel’s conjecture in the closed setting. The speaker and his collaborators give a proof in dimension 2. This is a joint work with Thibault LEFEUVRE and Gabriel P. PATERNAIN.

About the Speaker

Prof. Colin Guillarmou received his PhD at the University of Nantes in 2004 and undertook postdoctoral research at Purdue University in 2005. Then he joined the Centre National de la Recherche Scientifique (CNRS) as a researcher and stationed at the Université Nice Sophia Antipolis from 2005 to 2009 and at École Normale Supérieure from 2009 to 2016. He is currently a Research Director for CNRS at Universite Paris-Saclay.

Prof. Guillarmou’s research interests include partial differential equations, differential geometry and spectral theory. He was awarded the CNRS Bronze Medal in Mathematics in 2010 and the Prix Paul Doistau–Émile Blutet of the French Academy of Sciences in 2018.

For Attendees' Attention

This talk will be held online via Zoom. To attend, please join the Zoom meeting at https://hkust.zoom.us/j/96235403726 (Meeting ID: 962 3540 3726 / Passcode: iasip2023).

About the Program

For more information, please refer to the program website at https://iasprogram.hkust.edu.hk/inverseproblems/.