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

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.

News

Working group on analytifications, compactifications and tropicalizations of character varities (in french), that I am helping to organize with Omid Amini, Gilles Courtois, Antonin Guilloux and Vlerë Mehmeti.
Together with Jacques Audibert, Kostas Tsouvalas and Teddy Weisman, we are currently organising the Young Researcher's Workshop as part of the conference 20 years of Anosov representations (October 7-11, 2024).

Research interests

I am interested in differential geometry, Lie theory and 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.

Publications and preprints

An incomplete real tree with complete segments [arXiv:2212.09640], joint with Raphael Appenzeller, Luca De Rosa, Victor Jaeck.
Characterizing Hitchin representations over real closed fields [arXiv:2208.13611].
Subrepresentations in the homology of finite covers of graphs. [arXiv:2107.07428] [Glasg. Math. J.].

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

Editorial work

Proceedings of the Young Researchers Workshop on Positivity in Lie Groups [arXiv:2212.04339], joint with Arnaud Maret.

Upcoming & recent talks

10/2024: TBA at the conference "20 years of Anosov representations" at the MPI for Mathematics in the Sciences, Leipzig.
07/2024: TBA at the at the "AMS-UMI International Joint Meeting, Special Session on Anosov Representations and Higher Teichmüller Theory", Palermo.
06/05/24: TBA at the Geometry and Topology seminar at Université de Luxembourg.
04/2024: TBA at the conference "Submanifolds of locally symmetric spaces: geometric, analytic and dynamical aspects", Autrans.
08/04/24: Représentations de Hitchin sur les corps réels clos at the Séminaire de théorie ergodique at IRMAR, Rennes.
05/04/24: TBA at the Séminaire Géométrie dynamique at Université de Lille.
20/02/24: Hitchin representations over real closed fields at the Geometry Seminar at the MPI for Mathematics in the Sciences, Leipzig.
08/02/24: Représentations de Hitchin sur les corps réels clos at the Séminaire Topologie et dynamique at Paris-Saclay, Orsay.
29/01/24: Représentations de Hitchin sur les corps réels clos at the Séminaire Géométrie et applications at IRMA, Strasbourg.
18/01/24: 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

I am currently not teaching.
In Fall 2022, I was the organiser of Introduction to Lie Groups.
In Spring 2022, I was the organiser of Analysis II MATH/PHYS/CHAB.
In Fall 2021, I was the organiser of Analysis I MATH/PHYS/CHAB.
In Spring 2021, I was the organiser of Algebra II.
In Fall 2020, I was the organiser of Algebra I.
In Spring 2020, I was the assistant for the seminar A Survey of Geometric Group Theory.
In Fall 2019, I was a teaching assistant for Differential Geometry I.

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: February 2024