Arbeitsgruppe Geometrie

Student seminar Differential Geometry and Mathematical Physics (Winter 2018)

• The available topics will be presented at the introductory meeting on Tuesday November 6 at 14:15 in MA 874/875.
• The assignment of topics will be on Tuesday November 13 at 14:15 in MA 874/875.
• Please send a mail with your name, student id and topic to knoeppel@math.tu-berlin.de

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

Talks

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

Topics

Ulrich Pinkall

• Physical simulation of environmentally induced thin shell deformation [project site] (B,M)
• Fast winding numbers for soups and clouds [pdf] (B,M)
• Canonical Möbius subdivision [pdf] (B,M)
• Regular meshes from polygonal patterns [pdf] (B,M)
• Variational surface cutting [pdf] (B,M) ￩ Julian Marx

John Sullivan

• 12 spheres problem [arxiv] (M) ￩ Nilay Züleya
• Heron's formula as scissors congruence in 4D [arxiv] (B) ￩ Julia Kozubek
• Expected total curvature of random polygons (in R³) [arxiv] (B,M) ￩ Robin Martin
• Tantrix of knots and bridge number [arxiv] (B,M) Nina Smeenk
• Distance and intersection number in the curve graph of a surface [arxiv] (B,M) ￩ Julian Meyer
• Möbius-energy minimizing Hopf links, or electrons on the sphere ￩ Phi Leonard Vo

Yuri Suris

• Time discretization of Lie-Poisson systems ￩ Arbi Moses Badlyan
• Algebraic entropy of birational maps with invariant curves [arxiv] (B,M) ￩ Jana Larisch
• Algebraic entropy [arxiv] (B,M) ￩ Dario Cavallaro
• Generalized Manin transformations [arxiv] (B,M)
• Pentagrams, inscribed polygons, and Prym varieties [arxiv]

Boris Springborn

• Configurations of skew lines [arxiv] (B,M) ￩ The Anh Le
• Rigidity of the hexagonal Delaunay triangulated plane [arxiv] (B,M) ￩ Luise Benke
• Spherical geometry and integrable systems [arxiv] (B,M)
• Mahler measure and volume in hyperbolic space [arxiv]
• Computing discrete harmonic maps (1-2 talks) [arxiv]
• Embedding Sⁿ into Rⁿ⁺¹ with given integral Gauss curvature and optimal mass transport on Sⁿ [arxiv] ￩ Nick?

Alexander Bobenko

• Quadrics and conics in the sphere and hyperbolic space (1-2 talks) [arxiv] (B) ￩ Yago Duppel
• Deformable quadrileteral surfcaces [arxiv] (M)

Responsible professors

• Prof. Dr. Alexander Bobenko (bobenko@math.tu-berlin.de)
• Prof. Dr. Ulrich Pinkall (pinkall@math.tu-berlin.de)
• Prof. Dr. Boris Springborn (springb@math.tu-berlin.de)
• Prof. Dr. John Sullivan (sullivan@math.tu-berlin.de)
• Prof. Dr. Yuri Suris (suris@math.tu-berlin.de)

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

Previous semester: Summer 2018