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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 
Kai Henning  Physical simulation of environmentally induced thin shell deformation  15:00 
Josef Pelz  Canonical Möbius subdivision  16:00 
Oliver Gross  Finding Clebsch maps  17:00 
Wednesday, 3 July
Name  Title  Time 
Aldo Kiem  Miquel dynamics  12:00 
Fabian Heil  Spherical ICNets  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 discretetime 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 3manifold (pseudo)triangulation to another  11:00 
Jochen Ricker  Configurations of nonintersecting straight lines in RP^{3}  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 
Arbi Moses Badlyan  Time discretization of LiePoisson systems  15:00 
VictorPanos RohdeGouromichos  Orthogonal separation of the HamiltonJacobi equation on spaces of constant curvature  16:00 
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 [mathph]. [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]
 Realtime viscous thin films (B)
 Orestis Vantzos, Saar Raz and Mirela BenChen. Realtime 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
 Hsiaoyu 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, 170. [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 3manifold (pseudo)triangulation to another (B,M) ￩ Leon Ludwig
 J. Hyam Rubinstein, Henry Segerman, Stephan Tillmann. Traversing
threemanifold triangulations and spines. arXiv:1812.02806 [math.GT]. [link]
 Configurations of nonintersecting straight lines in RP^{3} (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, JeanMarc 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 [mathph]. [link]
 Orthogonal Separation of the HamiltonJacobi Equation on Spaces of Constant Curvature (B,M)
 Krishan Rajaratnam, Raymond G. McLenaghan and Carlos Valero. Orthogonal Separation of the HamiltonJacobi Equation on Spaces of Constant Curvature. arXiv:1607.00712[link]
 Classification of the orthogonal separable webs for the HamiltonJacobi and LaplaceBeltrami equations on 3dimensional hyperbolic and de Sitter spaces (B,M)
 Carlos Valero, Raymond G. McLenaghan. Classification of the orthogonal separable webs for the HamiltonJacobi and LaplaceBeltrami equations on 3dimensional 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 DiscreteTime Spin Systems (B,M) ￩ Julien Grubisic
 Robert I. McLachlan, Klas Modin, Olivier Verdier. Geometry of DiscreteTime Spin Systems. arXiv:1505.04035 [mathph]. [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 LiePoisson
systems ￩ Arbi Moses Badlyan
Responsible professors
Assistent: Felix Knöppel (knoeppel@math.tuberlin.de)
Previous semester: Winter 2018
