Teacher is Jaap van Oosten. He can be found at room 5.07, tel. 3305. Email: j.vanoosten AT uu.nl
Participants: Martijn den Besten, Felix Denis, Ludovico Fischer, Pol van Hoften, Tom van Overbeeke, Niels Voorneveld, Ugur Yikilmaz and Tingxiang Zou. Listener: Jasper Derikx.
The meetings are on Fridays 16:00 (sharp!)--18:00, in room 610. First meeting: Week 39 (Friday September 26) 2014.
Every student presents material, in a blackboard talk. It is permitted to distribute handouts to the audience. The talk lasts 2x45 minutes, but leave 10 minutes free for discussion.
Additionally, every speaker formulates a homework exercise, which the other participants do, and hand in to the speaker a week later. The speaker then grades this work and hands everything (including a model solution) to the teacher. The teacher, after examination, hands the grades to the participants.
In the course of the seminar, every student gives two such blackboard presentations (with homework exercise).
Attendance is compulsory.
Learning goals are:
1. Student is able to rework a given text into a coherent and understandable presentation
2. Student has good understanding of the mathematics in the field of the seminar
3. Student can formulate relevant and challenging exercises
Your final grade is composed of your grade for the presentation (40%, of which 20% for understanding the mathematics and 20% for communicating it), the formulation and grading of the homework exercise (10%) and your solutions to the other speakers' exercises (50%).
An "O-minimal structure" on an ordered set R is a collection of subsets of R^n (for each n), closed under unions, complements and projections, which satisfies the requirement that the subsets of R (so, n=1) are just finite unions of open intervals and points.
Model Theory has established that there are several interesting such structures. In the seminar, we shall study how from the definition of an O-minimal structure one can do geometry: there are theorems on dimension and Euler characteristic, cell decomposition, local trivialisation. This is laid out in the book by Lou van den Dries (see below), which we shall work through.
Terug naar de basis.