|
Geometry Group
Members
Projects
Lehre
Seminare
Archive
|
|
|
Student Seminar Differential Geometry and Mathematical Physics (Winter 2019)
- The available topics will be presented at the introductory meeting on Monday November 4 at 10:15 in MA 874/875.
- The assignment of topics will take place on Monday November 11 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, 3 February
Name | Titel | Zeit |
Lev Chusovitin | Rigidity of polyhedra and circle polyhedra I | 12:00 |
Shana Choukri | Rigidity of polyhedra and circle polyhedra II | 13:00 |
Niklas Dengler | Rigidity of polyhedra and circle polyhedra III | 14:00 |
Janosch Hübner | Composition of binary quadratic forms | 15:00 |
Thursday, 6 February
Name | Titel | Zeit |
Janna Golze | Centering Koebe polyhedra via Möbius transformations I | 12:00 |
Saskia Strempel | Centering Koebe polyhedra via Möbius transformations II | 13:00 |
Nina Smeenk | Satz von Poncelet II | 14:00 |
Monday, 10 February
Name | Titel | Zeit |
Max Röger | Euler equations on gl(3), cubic curves, and inscribed polygons | 12:00 |
Tim Zemlin | Discretization of the Euler top | 13:00 |
Nikolas Demming | Contact Hamiltonian systems | 14:00 |
Stefanie Schindler | Geodesically convex gradient systems | 15:00 |
Tuesday, 11 February
Name | Titel | Zeit |
Miguel Medina Garcia | Delaunay triangulations of points on circles | 10:00 |
Paulina Jedrzejewska | A hyperbolic view of the seven circle theorem | 11:00 |
Leander Blume | On unfoldings of stretched polyhedra | 12:00 |
Victor-Panos Rohde-Gouromichos | Affine Hopf fibrations | 13:00 |
Wednesday, 12 February
Name | Titel | Zeit |
Matthias Scheer | Cross ratio dynamics | 12:00 |
Niklas Martensen | On causality theory for spacetimes | 13:00 |
Robert Tischer | Flexible quadrilateral surfaces | 14:00 |
Stephan Worm | Bonnet pairs and isothermic surfaces | 15:00 |
Thursday, 13 February
Name | Titel | Zeit |
Oliver Gross | Complex line bundles in applications | 12:00 |
All talks will take place at MA 874/875, all times s.t.
Topics
Boris Springborn
- Rigidity of polyhedra and circle polyhedra (3 talks) ← Lev Chusovitin, Shana Choukri, Niklas Dengler
- Herman Gluck. Almost all simply connected closed surfaces are rigid. [doi]
- John C. Bowers, Philip L. Bowers, Kevin Pratt. Almost all circle polyhedra are rigid. [arxiv]
- John C. Bowers, Philip L. Bowers, Kevin Pratt. Rigidity of Circle Polyhedra in the 2-Sphere and of Hyperideal Polyhedra in Hyperbolic 3-Space. [arxiv]
- Centering Koebe polyhedra via Möbius transformations (1-2 talks) ← Saskia Strempel, Janna Golze
- B. Springborn. A unique representation of polyhedral types. Centering via Möbius transformations. [doi] (B)
- Zsolt Lángi. Centering Koebe polyhedra via Möbius transformations. [arxiv]
- Composition of binary quadratic forms: Felix Klein's interpretation
in terms of lattices and complex multiplication (1 talk) (M) ← Janosch Hübner
- Felix Klein. Über die Komposition der binären quadratischen Formen (1893). In: Gesammelte mathematische Abhandlungen, Band 3, 283-286. [pdf]
- Andreas Speiser. Über die Komposition der binären quadratischen Formen. In: H. Weber Festschrift (1912), 375-395. [pdf]
John Sullivan
- Delaunay triangulations of points on circles (1 talk) ← Miguel Medina Garcia
- Vincent Despré, Olivier Devillers, Hugo Parlier, Jean-Marc Schlenker. Delaunay Triangulations of Points on Circles. [arxiv]
- A hyperbolic view of the seven circle theorem (1 talk) ← Paulina Jedrzejewska
- Kostiantyn Drach, Richard Evan Schwartz. A Hyperbolic View of the Seven Circles Theorem. [arxiv]
- On unfoldings of stretched polyhedra (1 talk) ← Leander Blume
- Gözde Sert, Sergio Zamora. On Unfoldings of Stretched Polyhedra. [arxiv]
- Affine Hopf fibrations (1 talk) (M) ← Victor-Panos Rohde-Gouromichos
- V. Ovsienko, S. Tabachnikov. Affine Hopf fibrations. [arxiv]
Yuri Suris
- Satz von Poncelet (2 talks) ← Alireza Selahi, Nina Smeenk
- On the QRT map (chapter in Duistermaat)
- Vladimir Dragovic, Milena Radnovic. Ellipsoidal billiards in pseudo-euclidean spaces and relativistic quadrics. [arxiv]
- Euler equations on gl(3), cubic curves, and inscribed polygons (1 talk) ← Max Röger
- Konstantin Aleshkin and Anton Izosimov. Euler equations on the general linear group, cubic curves,
and inscribed hexagons. [pdf]
- Discretization of the Euler top (1 talk) ← Tim Zemlin
- Robert I. McLachlan, Klas Modin, Olivier Verdier. A minimal-variable symplectic integrator on spheres. [arxiv]
- Contact Hamiltonian systems (1 talk) ← Nikolas Demming
- Manuel Lainz Valcázar, Manuel de León. Contact Hamiltonian systems. [pdf]
- Time discretization of Lie-Poisson systems ← Arbi Moses Badlyan
Alexander Bobenko
- Cross ratio dynamics (1 talk) ← Matthias Scheer
- Maxim Arnold, Dmitry Fuchs, Ivan Izmestiev, Serge Tabachnikov. Cross-ratio dynamics on ideal polygons. [arxiv]
- Discrete mean curvature flows (1 talk) ← Daniel Krogmann
- Flexible quadrilateral surfaces (2 talk) ← Robert Tischer
- Ivan Izmestiev. Classification of flexible Kokotsakis polyhedra with quadrangular base. [arxiv] (M)
- Wolfgang K. Schief, Alexander I. Bobenko and Tim Hoffmann. On the Integrability of Infinitesimal and Finite Deformations of Polyhedral Surfaces. [pdf]
- Bonnet pairs and isothermic surfaces (1 talk) ← Stephan Worm
- George Kamberov, Franz Pedit, Ulrich Pinkall. Bonnet pairs and isothermic surfaces. [arxiv]
Almost all topics are suitable to be turned into a Bachelor or Master thesis. The exceptional cases are indexed by (B), if recommended for Bachelor, and (M), if recommended for Master.
Responsible professors
Assistent: Felix Knöppel (knoeppel@math.tu-berlin.de)
Previous semester: Summer 2019
|