TU Berlin Fakultät II
Institut für Mathematik
     

Arbeitsgruppe Geometrie

       

  

Geometry Group

Members

Projects


Lehre
Verlaufspläne:
  Bachelor
  Diplom
Vergangene Semester

Seminare

Images, Videos, and Games

Virtual Math Labs

Software

Contact



      

Student seminar Differential Geometry and Mathematical Physics (Summer 2018)

  • The available topics will be presented at the introductory meeting on Tuesday April 24 at 14:15 in MA 874/875.
  • The assignment of topics will be on Wednesday May 2 at 14:15 in MA 874/875.

This is a block seminar. Each student has to give a 45 minute talk at the end of the semester. Each student has to attend at least 10 talks.

Talks

Monday, 9 July
NameTitelZeit
Denis GüldnerFinite earthquakes and the associahedron16:00
Marco BuhlhellerAn inequality for the volume of a tetrahedron17:00

Wednesday, 11 July
NameTitelZeit
Julien GrubisicA linear variational principle for Riemannian mappings and discrete conformality12:00
Jan PutzigSmooth polyhedral surfaces13:00
Nilay TaliGeodesic and horocyclic flows14:00

Friday, 13 July
NameTitelZeit
Susanne BieblerDiscrete geodesic nets for modelling developable surfaces14:00
Viktoria SchwarzottA reflectionless discrete perfectly matched layer15:00
Oliver GrossDevelopable surface flow16:00

Monday, 16 July
NameTitelZeit
Martin HanikOptimal cone singularities for conformal flattening14:00
Kai HenningA Dirac operator for extrinsic shape analysis15:00

Tuesday, 17 July
NameTitelZeit
Stefanie SchindlerPentagram maps and refactorization in Poisson-Lie groups10:00
Dankwart NortheLimit shapes of the stochastic six vertex model11:00

Wednesday, 18 July
NameTitelZeit
Johnanna DüntschGauss' linking number revisited13:00
José MandujanoBubble clusters in 2D14:00
Matthias ScheerRandom triangles and polygons in the plane15:00

Friday, 20 July
NameTitelZeit
Fabian BittlShapes of polyhedra and triangulations of the sphere10:00
Harikrishnan MulackalShapes of polyhedra and triangulations of the sphere11:00

All talks will take place at MA 874/875, all times s.t.

Topics

Alexander Bobenko

  • Spherical and hyperbolic conics [arxiv] (B,M)
  • Smooth polyhedral surfaces [arxiv] (M), slides of talk "Smoothness concepts for polyhedral surfaces" (Pottmann, April 2018)
  • A linear variational principle for Riemannian mappings and discrete conformality [arxiv] (M)
  • Holomorphic quadratic differentials on graphs and the chromatic polynomial [arxiv] (B,M)
  • The massive Laplacian on isoradial graphs [arxiv] (M)

Ulrich Pinkall

  • A reflectionless discrete perfectly matched layer [arxiv] (B,M)
  • Optimal cone singularities for conformal flattening [pdf] (B,M)
  • Discrete geodesic nets for modelling developable surfaces [arxiv] (B,M)
  • Developable surface flow [pdf] (B,M)
  • Variational surface cutting [pdf] (B,M)

Boris Springborn

  • Shapes of polyhedra and triangulations of the sphere, article by Thurston [arxiv], notes by Schwartz [arxiv], 1-2 talks (B,M)
  • Finite earthquakes and the associahedron [mathscinet], [pdf] (B,M)
  • Geodesic and horocyclic flows, article by Shapira [pdf], introduction to hyperbolic surfaces by Labourie [pdf], 1-2 talks (B,M)
  • An inequality for the volume of a tetrahedron [doi] (B)

John Sullivan

  • Gauss' linking number revisited [pdf] (B)
  • Random triangles and polygons in the plane [arxiv] (B,M)
  • Bubble clusters in 2D [] (M)

Responsible professors

Assistant: Felix Knöppel (knoeppel@math.tu-berlin.de)

Previous semester: Winter 2017


Felix Knoeppel . 10.07.2018.