### The Veech alternative for billiard tables (Summer Semester 2008)

- Lecturer: Prof. Dr. Frank Herrlich, JProf. Dr. Gabriela Weitze-Schmithüsen
- Classes: Seminar (1720)
- Weekly hours: 2
- Audience: Mathematics (from 4. semester)

In this seminar, we study trajectories of balls on a billiard table. We do not only consider ordinary billiard tables, but more general ones that are given by polygons. However, the Veech alternative should hold for such billiard tables: either a trajectory is periodic or visits every region of the billiard table equally often. Billiard tables with this property are being investigated in today's mathematical research, for example in dynamical systems and in algebraic geometry.

For a description of the seminar with further information, see the announcement.

Some notes from the seminar (no claim for completeness or correctness):

- Here is a short discussion of the properties
*uniquely ergodic*and*minimal*of a dynamical system: ergodic vs. minimal (in german)

- Notes of talk 5 by Myriam Freidinger (in german).

- Notes of talk 8 by Matthias Frank (in german).

- Notes of talk 11 by Matthias Nagel (in german).

- Notes of talk 13 by Gregor Bethlen (in german).

- Notes of talk 14 by Caroline Obrecht (in german).

Schedule | ||
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Seminar: | Friday 14:00-15:30 | Seminarraum 12 |

Lecturers | ||
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Lecturer | Prof. Dr. Frank Herrlich | |

Office hours: By appointment (per e-mail) | ||

Room 1.022 Kollegiengebäude Mathematik (20.30) | ||

Email: herrlich@kit.edu | ||

Lecturer | JProf. Dr. Gabriela Weitze-Schmithüsen | |

Office hours: | ||

Room Kollegiengebäude Mathematik (20.30) | ||

Email: | ||

Lecturer | Dr. André Kappes | |

Office hours: Wann immer ich da bin. | ||

Room 1.036 Kollegiengebäude Mathematik (20.30) | ||

Email: andre.kappes@kit.edu |