Geometric Analysis meets Geometric Topology

25 - 28 February 2019, University of Heidelberg

About

The goal of the conference is to bring together researchers in Geometric Analysis and Geometric Topology. We will also have an informal panel discussions about academic job markets in Europe and a meeting and discussion with an expert on impostor syndrome.

On Monday at 17h00 the exhibition Women in Math will opened in the foyer of the Mathematikon. For further information, see also here (in the section public talk).

This conference is funded by the Gender Equality funds of the DFG SPP 2026 “Geometry at Infinity” and our speakers are all women. Everyone is welcome to participate.

We support the Statement of Inclusiveness.

Speakers

  • Carla Cederbaum (University of Tübingen)

    On special hypersurfaces of the Schwarzschild spacetime and related uniqueness theorems (Tuesday 15h30)

    The famous Schwarzschild spacetime is well-known to possess a unique so-called “photon sphere” – a cylindrical, timelike hypersurface P such that any null geodesic initially tangent to P remains tangent to P – in all dimensions. After an introduction into the relevant notions from Lorentzian Geometry and General Relativity, we will show that the Schwarzschild spacetime also possesses a rich family of spatially spherically symmetric “photon surfaces” – general timelike hypersurfaces P such that any null geodesic initially tangent to P remains tangent to P. This generalizes a result of Foertsch, Hasse, and Perlick from 2+1 to higher dimensions.

    We will then explain why the Schwarzschild spacetime is indeed the only static, vacuum, asymptotically flat spacetime possessing static black hole horizons, photon spheres, and/or what Gregory J. Galloway and I call “equipotential” photon surfaces, again in all dimensions.

    The above results are joint work with Gregory J. Galloway. They build on a rigidity result of mine for asymptotically flat Riemannian manifolds of non-negative scalar curvature with special umbilic, CMC, constant scalar curvature inner boundary components that globally support a harmonic function satisfying an overdetermined system of Dirichlet and Neumann conditions on the inner boundary. The proof of this rigidity result generalizes and extends Riemannian and Conformal Geometry arguments first introduced by Bunting and Masood-ul-Alam in their proof of static black hole uniqueness, a higher dimensional analog by Gibbons, Ida, and Shiromizu, and previous joint work with Gregory J. Galloway on the uniqueness of photon spheres. It relies on Schoen and Yau’s higher dimensional positive mass theorem as well as on a result by McFerron and Szekelyhidi.

  • Anna Dall'Acqua (Ulm University)

    On minimal elastic networks (Thursday 9h30)

    We consider planar networks of three curves that meet at two junctions with prescribed equal angles, so called Theta-Networks. Considering this as a model for elastic materials we associate to it an energy given by the combination of elastic energy and length. The questions we address are: does a minimizer exists? if so, is it a Theta-network or there is some change in topology? More precisely, the minimal configuration does still consist of three curves?

    This is a joint work with M. Novaga and A. Pluda. Accepted for publication in Indiana University Mathematical Journal.

  • Viveka Erlandsson (University of Bristol)

    Determining the shape of a billiard table from its bounces (Monday 14h00)

    Consider a billiard table shaped as a Euclidean polygon with labeled sides. A ball moving around on the table determines a bi-infinite “bounce sequence” by recording the labels of the sides it bounces off. We call the set of all possible bounce sequences the “bounce spectrum” of the table. In this talk I will explain why the bounce spectrum essentially determines the shape of the table: with the exception of a very small family (right-angled tables), if two tables have the same bounce spectrum, then they have to be related by a Euclidean similarity. The main ingredient in proving this fact is a technical result about non-singular geodesics on surfaces equipped with flat cone metrics. This is joint work with Moon Duchin, Chris Leininger, and Chandrika Sadanand.

  • Alessandra Iozzi (ETH)

    (Tuesday 14h00)

  • Anna Lenzhen (Université de Rennes 1)

    (Wednesday 15h30)

  • Katarzyna Mazowiecka (Université catholique de Louvain)

    On the size of the singular set of minimizing harmonic maps (Wednesday 11h00)

    Minimizing harmonic maps (i.e. minimizers of the Dirichlet integral) with prescribed boudary conditions may have singularities. At the beginning of this talk, I will consider minimizing harmonic maps from 3-dimensional domains into the two dimensional sphere and present an extension of Almgren and Lieb’s linear law on the bound of the singular set as well as Hardt and Lin’s stability theorem for singularities. Next, I will discuss new higher dimensional counterparts of those theorems. This is joint work with Michał Miśkiewicz and Armin Schikorra.

  • Paola Pozzi (University of Duisburg-Essen)

    On the flow of elastic networks (Monday 15h30)

    In this talk I will discuss a long-time existence result for the elastic flow of a three network in ℝⁿ. The evolution is such that the sum of the elastic energies of the three curves plus their weighted lengths decrease in time. Natural boundary conditions are considered at the boundary of the curves and at the triple junction. This is joint work with Anna Dall′Acqua and Chun-Chi Lin.

  • Melanie Rupflin (University of Oxford)

    Flowing to minimal surfaces (Monday 11h00)

    In this talk I will discuss the construction and properties of a geometric flow, the Teichmueller harmonic map flow, that is designed to change surfaces into minimal surfaces. As I will explain, this flow, which is a natural gradient flow of the Dirichlet energy, succeeds in decomposing any closed surface in any compact target manifold into minimal surfaces.

  • Anna Schilling (University of Heidelberg)

    Horofunction and Satake compactifications of symmetric spaces (Tuesday 9h30)

    There are various ways to compactify a Riemannian symmetric space X = G/K of non-compact type. The horofunction compactification embeds X into the space of real valued function using the metric on the space and takes the closure there. The generalized Satake compactification is associated to a faitthful projective representation of G. In this talk I will explain these two compactifications and show that any generalized Satake compactification can be realized as a horofunction compactification with respect to a special Finsler norm on X. This ist joint work with Thomas Haettel, Cormac Walsh and Anna Wienhard.

  • Petra Schwer (University Magdeburg)

    (Wednesday 11h00)

  • Anna Siffert (Max-Planck-Institut Bonn)

    Large genus minimal surfaces in positive Ricci curvature (Tuesday 11h00)

    We use Colding–Minicozzi lamination theory to study the systole of large genus minimal surfaces in an ambient three-manifold of positive Ricci curvature. This is joint work with Henrik Matthiesen.

  • Gabriela Weitze-Schmithüsen (Saarland University)

    Systols on Origami Translation Surfaces (Thursday 11h00)

    Translation surfaces are obtained by a charming concrete construction: Take finitely many polygons in the Euclidean plane and glue pairs of their edges via translations such that you obtain a connected surface. The study of these surfaces leads to such multifaceted topics as geodesic flows on Teichmüller spaces, Teichmüller curves in the moduli space Mg of smooth complex curves of genus g and billiards on polygonal billard tables. Although translation surfaces have been intensively studied since the 1980’s, there are still many natural questions wildly open. One of these questions is: Which translation surface of genus g has the largest shortest curve and how long is this curve? We describe an algorithmic approach to this question using a special class of translation surfaces called origamis or square-tiled surfaces.

  • Karen Vogtmann (University of Warwick)

    The rational Euler characteristic of Out(Fn) (Wednesday 9h30)

    I will recall old joint work with J. Smillie and then discuss recent work of M. Borinsky that builds on that to determine the asymptotic behavior of the rational Euler characteristic of Out(Fn). Neat connections to various classical numbers and functions appear.

Impostor syndrome:

  • Myriam Bechtoldt (EBS University)

    Winners who think they are losers – The impostor phenomenon (Wednesday 17h00)

    In the 1970s, two psychotherapists, Pauline Clance and Suzanne Imes, were puzzled by patients who expressed intense fears of failure. While these achievement-related fears per se were not exceptional, remarkably, though, they were experienced by successful women. Obviously these women's self-evaluations were incongruent with objective evidence regarding their abilities. Instead of gaining self-confidence from their professional or academic success, they felt uncertain about it and attributed it to some other factor than intelligence, such as charm, luck, or hard work. The significant discrepancy between these women's self-views and their achievements inspired Clance and Imes (1978) to coin the term “impostor phenomenon”.

    This talk will present recent empirical findings on this phenomenon. Among others, it will address the following questions: Who is affected? Do individuals scoring high on impostorism honestly think they are losers? How does the impostor phenomenon influence the behavior of people in leadership positions?

Schedule

Mon Tue Wed Thu
9h30 Coffee*
(from 9h00 on)
Schilling Vogtmann Dall'Acqua
10h30 Registration Coffee break Coffee break Coffee break
11h00 Rupflin Siffert Mazowiecka Weitze-Schmithüsen
12h00 Lunch break Lunch break Lunch break Lunch break
14h00 Erlandsson Iozzi Schwer
15h00 Coffee break Coffee break Coffee break
15h30 Pozzi Cederbaum Lenzhen
16h30 Break Break Break
17h00 Exhibition opening Panel (job market) Panel (impostor syndrome)

*Coffee and lunch will be served in the common room on the 5th floor of the Mathematikon.

Venue

The conference takes place on the 5th floor of the Mathematical Institut of the University of Heidelberg, Im Neuenheimer Feld 205, 69120 Heidelberg


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Registerend Participants

  • Frederik Baucks
  • Michael Bleher
  • Caterina Campagnolo
  • Sangbum Cho
  • Diego Corro
  • Christian El Emam
  • Nathan Fisher
  • Fernando Galaz-Garcia
  • Oscar Guzmán
  • Lukas Hahn
  • Maurice Hensel
  • Annette Karrer
  • Dersim Kaya
  • Cheikh Khoule
  • Jan-Bernhard Kordass
  • Ilhan Korkmaz
  • Johannes Krotz
  • Ronja Kuhne
  • Florence Lecomte
  • Gye-Seon Lee
  • Oliver Lindblad Petersen
  • Gabriele Link
  • Jone Lopez de Gamiz Zearra
  • Levin Maier
  • Arnaud Maret
  • Felipe Müller
  • Sebastian Nill
  • Andreas Ott
  • Ashis Pati
  • James Peters
  • Mareike Pfeil
  • Hitesh Raundal
  • Lena Maria Reichle
  • Pedro Vitor Rodrigues da Conceicao
  • Soumaya Saanouni
  • Anna-Sofie Schilling
  • Fabio Schlindwein
  • Irene Seifert
  • Esmee te Winkel
  • Ferdinand Vanmaele
  • Anna-Maria Vocke
  • Kaidi Ye
  • Menelaos Zikidis

Registration

Registration is closed.

Funding for young researchers


Application for funding is closed.

Sponsors

Organizers

Contact

To contact us, either write us an email at "gagt2019 [at] gmail [dot] com" or use the contact form below.

*Mandatory information.