Moduli Spaces of Riemann Surfaces II
3-4 hours of lectures per week.
Lecturer
Ib Madsen
Content
This is a continuation of the course from the fall 2003 about the homological structure of the stable moduli space, and the proof of the Mumford Conjecture. The content will center on the use of parametrized Morse theory in the study of the moduli space in question.
Prerequisites
The fall 2003 course.
Literature
I. Madsen and M. Weiss
The Stable Moduli Space of Riemann Surfaces: Mumford's Conjecture, ArXiv: math. AT/0212321.
Evaluation
Students who do not intend to take a degree in Mathematics or Statistics from the University of Aarhus, but wish to earn credits for a 2.dels course from the Department of Mathematics, should indicate at the beginning of the course that they wish to be examined.
The form of examination for these students will be active participation together with oral or written contributions.
Credits
5 ECTS
Quarter
First quarter in Spring 2004.