Tin tức nổi bật
Hội thảo sắp diễn ra
International conference on commutative algebra to the memory of Jürgen Herzog
Xuất bản mới
The topology of finite group actions on Riemann surfaces and of their moduli spaces.
Người báo cáo: Fabio Perroni (University of Trieste)
Time: 9:30 - 11h00, 19th June
Venue: Room 507, A6, Institute of Mathematics
Abstract: Let G be a finite group. We consider effective G-actions on a compact, connected, oriented topological surface S of genus g. We review the classification of such actions, following Nielsen (in the case where G is cyclic), Edmonds (for G abelian), Livingston-Zimmermann-Dunfield-Thurston (for free actions) and Catanese-Loenne-P. On the other hand, endowing S with the structure of Riemann surface, one can consider moduli spaces of such G-actions (that have been studied also in connection with the Inverse Galois Problem (e. g. by Fried-Voelklein) and with the Cohen-Lenstra conjecture (e.g. by Ellenberg-Venkatesh-Westerland)). In the seminar we will briefly present some of the topological properties of these moduli spaces that follow from the above classification.