Vacation Seminar of the Hurwitz Society

Each fall, the Hurwitz Society hosts a vacation seminar for students in their 4th semester and above. Here students get to know their lecturers and other members of our Department in a relaxed atmosphere. 

The next Vacation Seminar takes place as a block event from 6 to 10 September 2021 (Monday to Friday), at the TUM Akademiezentrum Raitenhaslach and is recognized as a seminar in the course of study. 

Topics and lecturers

Knots (Prof. Dr. Claudia Scheimbauer)

We encounter knots every day when tying our shoelaces, when sailing, in art, and even in DNA molecules. If you every tried to untangle a knotted string, you will have noticed that this requires trial and error. As mathematicians we ask whether we can do this in a more conceptual and computational way: how can we recognize whether two knots are the same? In this seminar we will set up the basic theory of knots and knot invariants. We will explore various examples of knots and knot invariants, and see that very quickly we stumble upon open problems. 

The language of the seminar may alternate between German and English, depending on each speaker's preference.

Gröbner Bases (Prof. Dr. Gregor Kemper)

To polynomial equations, commutative algebra and algebraic geometry, Gröbner bases are what Gauß elimination is to linear equations and linear algebra: They are the engine behind virtually every computation in commutative algebra and algebraic geometry, and help to solve many practical problems. In this seminar we will explore not only computational aspects and applications of Gröbner bases, but also some interesting theoretical aspects. 

The language of the seminar may alternate between German and English, depending on each speaker's preference.

Registration

The registration deadline for the vacation seminar has already passed.

Schedule

The seminar is divided into two topics that are covered in parallel. You decide in advance which of the two you would like to attend.

Together with all participants, you can expect

  • more lectures on mathematical research topics,
  • a "fireside chat" in the evening with an external talk "from professional life" on what you can expect after your studies, 
  • as well as an excursion and 
  • the final round.

In addition, there will of course also be the opportunity to talk about mathematical and non-mathematical topics outside the lectures.

Financial Support

The costs for the seminar, accommodation and meals (except dinner) are completely covered; a not insignificant part of the costs is borne by the Hurwitz Society. An equally large contribution will also be made from student grant funds, since this is an extraordinary event for the improvement of teaching.

Travel to and from the seminar is to be organized and financed by the participants themselves. The seminar will take place at the TUM Akademiezentrum Raitenhaslach with overnight accommodation in Burghausen, about 5 kilometers away.