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Studierendenseminar der AG Geometrie und Mathematische Physik (Sommer 2016)
- Die Termine am 14. Juli wurden jeweils um 15 Minuten nach hinten verschoben.
- Die Termine am 4. Juli wurden auf den 7. Juli verlegt.
- Die Themenvergabe findet am 04.05.16 um 9 Uhr im MA 874/875 statt.
- Die Einführungsveranstaltung mit Präsentation der Themen findet am 28.04.16 um 14 Uhr im MA 874/875 statt.
Termine
Für die erfolgreiche Teilnahme am Seminar ist die Anwesenheit bei mindestens 10 Studierendenvorträgen erforderlich.
Mittwoch, der 6. Juli
Name | Titel | Zeit |
Nils Hansen | Kleins Konvexe-Hülle-Konstruktion | 12:00 |
Denis Güldner | Die Farey-Triangulierung und der Satz von Hurwitz | 13:00 |
Mathias Oster | Three-dimensional Euclidean nets from two-dimensional hyperbolic tilings. | 14:00 |
Donnerstag, der 7. Juli
Name | Titel | Zeit |
Fabian Heil | Incircular nets and confocal conics | 14:00 |
Berenike Masing | Disk packings in the square torus | 15:00 |
Julien Grubisic | Fenchel and Fary/Milnor in Lorentz space | 16:00 |
Leon Atmacayan | Optimal transport and matrix decompositions | 17:00 |
Montag, der 11. Juli
Name | Titel | Zeit |
Moritz Ruber | Playing pool with π | 09:00 |
Julia Martini | The Devron property | 10:00 |
Yve Mehlan | Two-orbit convex polytopes and tilings | 14:00 |
Akram Alraai | Upper bound on stick number of knots | 15:00 |
Mittwoch, der 13. Juli
Name | Titel | Zeit |
Alexander Preis | Die Markov-Gleichung und der punktierte Torus | 13:00 |
Lilli Leifheit | Klassifizierung der quadratischen Formen | 14:00 |
Sebastian Fenzki | Die Markov-Gleichung nach Harvey Cohn | 15:00 |
Donnerstag, der 14. Juli
Name | Titel | Zeit |
Paul Wimmer | Consistency of 3×3 determinants | 14:15 |
Clara Jansen | Euler equations on so(4) | 15:15 |
Rico Berner | On the pluri-Lagrangian structure of 2-dimensional hierarchies | 16:15 |
Arik Braun | A class of integrable geodesic flows on the symplectic group and the symmetric matrices | 17:15 |
Dienstag, der 19. Juli
Name | Titel | Zeit |
Nikolai Sivertsen | Homotopic morphing of planar curves | 10:00 |
Vanessa Dymala | Beyond developable | 11:00 |
Mittwoch, der 20. Juli
Name | Titel | Zeit |
Torben Meyer zu Natrup | Bijective maps from simplicial foliations | 14:00 |
Mina Stöhr | Surface-only liquids | 15:00 |
Lutz Daniel | Vortices on closed surfaces | 16:00 |
Die Vorträge dauern 45 Minuten (anschliessend Fragen) und finden im MA 874/875 statt. Die Zeiten sind s.t.
Themen
Alexander Bobenko
- Incircular nets and confocal conics ← Fabian Heil
Myfanwy Evans
- Three-dimensional Euclidean nets from two-dimensional hyperbolic tilings: kaleidoscopic examples ← Mathias Oster
Ulrich Pinkall
- Homotopic morphing of planar curves [1] (B,M) ← Nikolai Sivertsen
- Beyond developable [2] (B,M) ← Vanessa Dymala
- Bijective maps from simplicial foliations [3] (B,M) ← Torben Meyer zu Natrup
- Double bubbles sans toil and troubles [4] (B,M)
- Surface-only liquids [5] (B,M) ← Mina Stöhr
- Vortices on closed surfaces ← Lutz Daniel
- N. Dym, A. Shtengel, Y. Lipman. Homotopic morphing of planar curves. SGP 2015, Proceedings of the Eurographics Symposium on Geometry Processing. [paper].
- M. Konaković, K. Crane, B. Deng, S. Bouaziz, D. Piker, M. Pauly. Beyond developable: Computational design and fabrication with auxetic materials. ACM Transactions of Graphics 2016. [paper].
- M. Campen, C. Silva, D. Zorin, Bijective maps from simplicial foliations. ACM Transactions on Graphics 2016. [paper].
- F. Da, C. Batty, C. Wojtan, E. Grinspun, Double bubbles sans toil and troubles: Discrete circulation-preserving vortex sheets for soap films and foams. ACM Transactions on Graphics 2015. [paper].
- F. Da, C. Batty, C. Wojtan, E Grinspun, Surface only liquids. ACM Transactions on Graphics 2016. [paper].
Boris Springborn
- Geometrie der Kettenbrüche I. Kleins Konvexe-Hülle-Konstruktion. [9, 2] (B,M) ← Nils Hansen
- Geometrie der Kettenbrüche II. Die Fary-Triangulierung und der Satz von Hurwitz. [5, 3] (B,M) ← Denis Güldner
- Die Markov-Gleichung und der punktierte Torus. [10 (lecture 8), 1, 3, 4] (B,M) ← Alexander Preis
- Die Markov-Gleichung nach Harvey Cohn. [1, 6, 7, 3] (M) ← Sebastian Fenzki
- Klassifizierung der quadratischen Formen. [8, 9] (B,M) ← Lilli Leifheit
- Martin Aigner, Markov's Theorem and 100 Years of the Uniqueness Conjecture (Springer, Cham, 2013).
- V. I. Arnold, Chain Fractions [Russian] (Moscow, 2001), http://www.mccme.ru/free-books/mmmf-lectures/book.14.pdf.
- Francis Bonahon, Low-Dimensional Geometry, vol. 49, Student Mathematical Library (Providence, RI: American Mathematical Society, 2009).
- J. W. S. Cassels, An Introduction to Diophantine Approximation, Cambridge Tracts in Mathematics and Mathematical Physics, No. 45 (Cambridge University Press, New York, 1957).
- K. Chandrasekharan, Einführung in Die Analytische Zahlentheorie, Lecture Notes in Mathematics, No. 29 (Berlin: Springer-Verlag, 1966).
- Harvey Cohn, Approach to Markoff's Minimal Forms through Modular Functions, Annals of Mathematics. Second Series 61 (1955): 1-12. http://www.jstor.org/stable/1969618 (Zugang aus dem Mathe-Netz, z.B. in der Bibliothek)
- Harvey Cohn, Representation of Markoff's Binary Quadratic Forms by Geodesics on a Perforated Torus, Polska Akademia Nauk. Instytut Matematyczny. Acta Arithmetica 18 (1971): 125-136. http://matwbn.icm.edu.pl/ksiazki/aa/aa18/aa18115.pdf
- John H. Conway, The Sensual (Quadratic) Form, vol. 26, Carus Mathematical Monographs (Washington, DC: Mathematical Association of America, 1997).
- F. Klein, Ausgewählte Kapitel der Zahlentheorie I. Vorlesung, gehalten im Wintersemester 1895/96. Ausgearbeitet von A. Sommerfeld, 1896, https://archive.org/details/ausgkapzahlenthe01kleirich.
- Dylan Thurston, Lectures on the Geometry and Algebra of Curves on Surfaces, Notes by Qiaochu Yuan Fall 2012, https://math.berkeley.edu/~qchu/Notes/274.
John Sullivan
- Disk packings in the square torus [1] (B) ← Berenike Masing
- Fenchel and Fary/Milnor in Lorentz space [2] (B) ← Julien Grubisic
- Optimal transport and matrix decompositions [3] (M) ← Yve Mehlan
- Upper bound on stick number of knots [4] (B) ← Akraam Alraai
- R. Connelly, M. Funkhouser, V. Kuperberg, E. Solomonides. Packings of equal disks in a square torus. Preprint, 2015, arXiv:1512.08762 [math.MG]
- N. Ye, X. Ma, D. Wang. The Fenchel-type inequality in the 3-dimensional Lorentz space and a Crofton formula. Preprint, 2016, arXiv:1603.01311 [math.DG]
- K. Modin. Geometry of matrix decompositions seen through optimal transport and information geometry. Preprint, 2016, arXiv:1601.01875 [math.DG]
- Y. Huh, S. Oh. An upper bound on stick numbers of knots. Preprint, 2015, arXiv:1512.03592 [math.GT]
Yuri Suris
- Playing pool with π - the number π from the billiard point of view [1] (B) ← Moritz Ruber
- The Devron property [2] (B,M) ← Julia Martini
- A class of integrable geodesic flows on the symplectic group and the symmetric matrices [3] (B,M) ← Arik Braun
- Non-integrability and Cohen's map [4] (B,M)
- Consistency of 3×3 determinants [5] (B,M) ← Paul Wimmer
- Euler equations on so(4) [6] (B) ← Clara Jansen
- On the pluri-Lagrangian structure of 2-dimensional hierarchies ← Rico Berner
- G. Galperin. Playing pool with π (the number π from the billiard point of view). Regul Chaotic Dyn, 2003, 8 (4), 375-394, [paper]
- M. Glick. The Devron property. Preprint, 2013, arXiv:1312.6881 [math.DS]
- A. M. Bloch, A. Iserles, J. E. Marsden, T. S. Ratiu. A class of integrable geodesic flows on the symplectic group and the symmetric matrices. Preprint, 2005, arXiv:math-ph/0512093
- A. Cima, A. Gasull, V. Mañosa. Non-integrability of measure preserving maps via Lie symmetries. Preprint, 2015, 2015, arXiv:1503.05348 [math.DS]
- O. I. Mokhov. Consistency on cubic lattices for determinants of arbitrary orders. Preprint, 2009, arXiv:0910.2044 [nlin.SI]
- J. Llibre, J. Yu, X. Zhang. On polynomial integrability of the Euler equations on so(4). Journal of Geometry and Physics 96, 2015, 36-41, [preprint]
Die Themen sind umfangreich genug, um zu einer Bachelor- (B) bzw. einer Masterarbeit (M) ausgebaut zu werden.
Verantwortliche Dozenten
Assistent: Felix Knöppel (knoeppel@math.tu-berlin.de)
Vorheriges Semester: Winter 2015
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