Xenia Flamm's Home Page

Xenia Flamm


Institut des Hautes Études Scientifiques
35 Route de Chartres
91440 Bures-sur-Yvette, France

Office: 1N13
Email: flamm(at)ihes.fr
A friendly face
I am a postdoc at IHES, under the mentorship of Fanny Kassel. I completed my PhD at ETH under the supervision of Marc Burger. Before coming to ETH, I studied at the University of Bonn.

My research interests lie in differential geometry, Lie theory and (higher) Teichmüller theory. In particular, I like to think about discrete subgroups of Lie groups, for example of SL(n,ℝ). Recently, I have become interested in the case when we replace ℝ by some (non-Archimedean, ordered) valued fields, and their relations to degenerations of real phenomena.

News


Publications and preprints

Here you can find my PhD thesis On the real spectrum compactification of Hitchin components and the slides of my PhD defense.

Editorial work


Upcoming & recent talks

  • 06/25: TBA at the conference "SwissKnots" at Geneva University.
  • 28/10/24: TBA at the Geometry and Topology seminar at Université de Luxembourg.
  • 10/2024: TBA at the conference "20 years of Anosov representations" at the MPI for Mathematics in the Sciences, Leipzig.
  • 03/10/2024: TBA at the Séminaire Virtuel Francophone Groupes et Géométrie, online.
  • 27/08/2024: Morse theoretic methods and component counts for compact and complex groups at the Summer 2024 Workshop "Components of character varities", Aussois.
  • 24/07/2024: Hilbert geometry over non-Archimedean ordered fields at the at the "AMS-UMI International Joint Meeting, Special Session on Anosov Representations and Higher Teichmüller Theory", Palermo.
  • 04/2024: Hilbert geometry over real closed fields at the conference "Submanifolds of locally symmetric spaces: geometric, analytic and dynamical aspects", Autrans.
  • 04/24: Représentations de Hitchin sur les corps réels clos at the Séminaire de théorie ergodique at IRMAR, Rennes.
  • 04/24: Représentations de Hitchin sur les corps réels clos at the Séminaire Géométrie dynamique at Université de Lille.
  • 02/24: Hitchin representations over real closed fields at the Geometry Seminar at the MPI for Mathematics in the Sciences, Leipzig.
  • 02/24: Représentations de Hitchin sur les corps réels clos at the Séminaire Topologie et dynamique at Paris-Saclay, Orsay.
  • 01/24: Représentations de Hitchin sur les corps réels clos at the Séminaire Géométrie et applications at IRMA, Strasbourg.
  • 01/24: Représentations de Hitchin sur les corps réels clos at the Séminaire Géométrie et Topologie at IMJ-PRG, Paris.
  • 11/2023: Hitchin representations over real closed fields at the GDR Platon "Parole aux jeunes chercheuses et chercheurs en géométrie et dynamique", Grenoble.
  • 08/23: Metrics on Teichmüller spaces at the Summer 2023 Workshop "Metrics on higher Teichmüller spaces", Fréjus.
  • 07/23: The real spectrum compactification of the Hitchin component at the International Young Seminar on Bounded Cohomology and Simplicial Volume, online.
  • 05/2023: Hitchin representations over real closed fields at the workshop "Higgs bundles, character varieties and higher Teichmüller spaces", ICMAT Madrid.
  • 02/2023: Hilbert's 17th problem at the Séminaire des Thésards of IMJ-PRG, Paris.
  • 10/2022: What is ... a higher Teichmüller space? at the Zurich Graduate Colloquium, Zurich.
  • 10/2022: Compactifications via currents at the Oberwolfach "Arbeitsgemeinschaft on Higher Rank Teichmüller Theory", Oberwolfach.
  • 07/2022: Characterizing Hitchin representations over real closed fields at the "AMS-SMF-EMS Joint International Meeting, Special Session on Deformation Spaces of Geometric Structures", Université de Grenoble-Alpes.
  • 05/2022: The real spectrum compactification of the Hitchin component at Institut des Hautes Études Scientifiques, Université Paris-Saclay.
  • 01/2022: The real spectrum compactification of the Hitchin component at the DiffGeo Seminar, University of Heidelberg.
  • 12/2021: Hilbert's 17th problem at the Geometry Graduate Colloquium, ETH Zurich.
  • 11/2021: The real spectrum compactification of the Hitchin component at ENS Paris.
  • 06/2021: The real spectrum compactification of the Hitchin component at "NCNGT 2021" (Part I and Part II).

Teaching


Other

Are you interested in Geometry, Topology and Groups? Check out the Geometry Graduate Colloquium at ETH!

Together with Arnaud Maret, we organised the Young Researcher's Workshop on Positivity in Lie Groups at IWH Heidelberg from January 10th to January 14th, 2022.

My master's thesis Homology of Finite Covers of Graphs was supervised by Sebastian Hensel. My bachelor's thesis Invariants of Quiver Representations was supervised by Catharina Stroppel.
Last updated: August 2024