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Student seminar Differential Geometry and Mathematical Physics (Summer 2019)
- The available topics will be presented at the introductory meeting on Wednesday April 17 at 16:00 in MA 874/875.
- The assignment of topics will be on Wednesday April 24 at 16:00 in MA 874/875.
- Please send a mail with your name, student id and topic to knoeppel[at]math.
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, 1 July
Name | Title | Time |
Lukas Wolff | Symmetric moving frames | 14:00 |
Josef Pelz | Canonical Möbius subdivision | 15:00 |
Oliver Gross | Finding Clebsch maps | 16:00 |
Wednesday, 3 July
Name | Title | Time |
Aldo Kiem | Miquel dynamics | 12:00 |
Fabian Heil | Spherical IC-Nets | 13:00 |
Thursday, 4 July
Name | Title | Time |
Gentaro Masuda | The symmetric representation of the generalized rigid body equations & symplectic reduction | 14:00 |
Julien Grubisic | Geometry of discrete-time spin systems | 15:00 |
Duc Nguyen | ADMM and accelerated ADMM as continuous dynamical | 16:00 |
Friday, 5 July
Name | Title | Time |
Christopher Duncan | Simple closed curves on a hyperbolic torus with one cusp | 09:00 |
Luise Benke | Flipping from one surface triangulation to another (algorithmically) | 10:00 |
Leon Ludwig | Flipping from one 3-manifold (pseudo-)triangulation to another | 11:00 |
Jochen Ricker | Configurations of non-intersecting straight lines in RP3 | 13:00 |
Jakob Wessel | Discrete harmonic maps | 14:00 |
Wednesday, 10 July
Name | Titel | Zeit |
José Mandujano | Descartes circle theorem, Steiner porism, and spherical designs | 13:00 |
Julian Marx | Torsion of locally convex curves | 14:00 |
Dennis Choy | The length, width, and inradius of space curves | 15:00 |
Florian Blatt | A multicover nerve for geometric inference | 16:00 |
Thursday, 11 July
Name | Titel | Zeit |
Jana Larisch | Algebraic entropy of birational maps with invariant curves | 14:00 |
Victor-Panos Rohde-Gouromichos | Orthogonal separation of the Hamilton-Jacobi equation on spaces of constant curvature | 15:00 |
All talks will take place at MA 874/875, all times s.t.
Topics
Alexander Bobenko
- Flexible quadrileteral nets (B,M)
- Dimers and circle patterns (B,M)
- Richard Kenyon, Wai Yeung Lam, Sanjay Ramassamy, Marianna Russkikh. Dimers and circle patterns. arXiv:1810.05616 [math-ph]. [link]
- Miquel dynamics ← Aldo Kiem
Ulrich Pinkall
- Symmetric moving frames (B,M)
- Etienne Corman, Keenan Crane. Symmetric Moving Frames. ACM Trans. Graph., Vol. 38, No. 4, Article 87. Publication date: 2019. [project page]
- Real-time viscous thin films (B)
- Orestis Vantzos, Saar Raz and Mirela Ben-Chen. Real-time Viscous Thin Films. ACM Transactions on Graphics 37(6), SIGGRAPH Asia 2018. [link]
- Physical simulation of environmentally induced thin shell deformation (B,M) ← Kai Henning
- Hsiao-yu Chen, Arnav Sastry, Wim M. van Rees, Etienne Vouga. Physical simulation of environmentally induced thin shell deformation.
SIGGRAPH (ACM Transactions on Graphics), 2018. [link]
- Fast winding numbers for soups and clouds (B,M)
- Gavin Barill, Neil G. Dickson, Ryan Schmidt, David I.W. Levin, Alec Jacobsen. Fast winding numbers for soups and clouds. ACM Transactions on Graphics, Vol. 37, No. 4, Article 43. Publication date: August 2018. [link]
- Canonical Möbius subdivision (B,M) ← Josef Pelz
- Amir Vaxman, Christian Müller, Ofir Weber. Canonical Möbius subdivision. ACM Trans. Graph., Vol. 37, No. 6, Article 227. Publication date: November 2018.[link]
Boris Springborn
- Simple closed curves on a hyperbolic torus with one cusp (B,M) ← Christopher Duncan
- Greg McShane. A remarkable identity for lenghts of curves.
PhD thesis, U Warwick, 1991. [link]
- Flipping from one surface triangulation to another (algorithmically) (B,M) ← Luise Benke
This is hidden in the following paper about much more complicated stuff:
- Lee Mosher. Tiling the projective foliation space of a punctured
surface. Trans. Amer. Math. Soc. 306 (1988), no. 1, 1-70. [link]
The connectivity theorem for elementary moves is on p. 36, and the
algorithmic proof begins on the bottom of p. 37 with the words:
"Despite this plethora of proofs of the Connectivity Theorem, we wish
to give a new proof, completely combinatorial in spirit, and quite
elementary. Our proof has the advantage that it implicitly gives an
algorithm for constructing a sequence of elementary moves ... "
- Flipping from one 3-manifold (pseudo-)triangulation to another (B,M) ← Leon Ludwig
- J. Hyam Rubinstein, Henry Segerman, Stephan Tillmann. Traversing
three-manifold triangulations and spines. arXiv:1812.02806 [math.GT]. [link]
- Configurations of non-intersecting straight lines in RP3 (B,M)
- Julia Viro and Oleg Viro. Configurations of skew lines. arXiv:math/0611374 [math.GT]. [link]
- Discrete harmonic maps (B,M) ← Jakob Wessel
- Jonah Gaster, Brice Loustau, Léonard Monsaingeon. Computing discrete equivariant harmonic maps. arXiv:1810.11932 [math.GT]. [link]
John Sullivan
- Descartes circle theorem, Steiner porism, and spherical designs (B,M) ← José Mandujano
- Richard Evan Schwartz, Serge Tabachnikov. Descartes circle theorem, Steiner porism, and spherical designs. arXiv:1811.08030 [math.MG]. [link]
- Delaunay triangulation of points on circles (B)
- Vincent Despré, Olivier Devillers, Hugo Parlier, Jean-Marc Schlenker. Delaunay triangulation of points on circles. arXiv:1803.11436 [cs.CG]. [link]
- Torsion of locally convex curves (B) ← Julian Marx
- Mohammad Ghomi. Torsion of locally convex curves. arXiv:1704.00081 [math.DG]. [link]
- The length, width, and inradius of space curves (B,M) ← Dennis Choy
- Mohammad Ghomi. The length, width, and inradius of space curves. arXiv:1605.01144 [math.DG]. [link]
Yuri Suris
- The Symmetric Representation of the Generalized Rigid Body Equations
and Symplectic Reduction (B,M) ← Gentaro Masuda
- Tomoki Ohsawa. The Symmetric Representation of the Generalized Rigid Body Equations and Symplectic Reduction. arXiv:1811.03184 [math-ph]. [link]
- Orthogonal Separation of the Hamilton-Jacobi Equation on Spaces of Constant Curvature (B,M)
- Krishan Rajaratnam, Raymond G. McLenaghan and Carlos Valero. Orthogonal Separation of the Hamilton-Jacobi Equation on Spaces of Constant Curvature. arXiv:1607.00712[link]
- Classification of the orthogonal separable webs for the Hamilton-Jacobi and Laplace-Beltrami equations on 3-dimensional hyperbolic and de Sitter spaces (B,M)
- Carlos Valero, Raymond G. McLenaghan. Classification of the orthogonal separable webs for the Hamilton-Jacobi and Laplace-Beltrami equations on 3-dimensional hyperbolic and de Sitter spaces. Journal of Mathematical Physics 60, 033501 (2019). [link]
- V. Gelfreich, A. Vieiro. Interpolating vector fields for near identity maps and averaging. arXiv:1711.01983. [link] [iop]
- Geometry of Discrete-Time Spin Systems (B,M) ← Julien Grubisic
- Robert I. McLachlan, Klas Modin, Olivier Verdier. Geometry of Discrete-Time Spin Systems. arXiv:1505.04035 [math-ph]. [link] [doi]
- ADMM and Accelerated ADMM as Continuous Dynamical Systems ← Duc Nguyen
- Algebraic entropy of birational maps with invariant curves ← Jana Larisch
- Time discretization of Lie-Poisson
systems ← Arbi Moses Badlyan
Responsible professors
Assistent: Felix Knöppel (knoeppel@math.tu-berlin.de)
Previous semester: Winter 2018
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