CFT 2011

In this talk I'll sketch the basic theory of vector-valued automorphic forms for arbitrary finite-index subgroups of any genus-0 Fuchsian group of the first kind, and arbitrary representation and arbitrary weight. I'll describe the analogues here of Grothendieck's Thm, Riemann-Roch, Serre duality, etc and show they can be sharpened into effective tools (e.g. for finding dimensions and basis vectors). A crucial role is played by Fuchsian differential equations. I'll focus on the most familiar case of SL(2,Z), where there are plenty of direct applications to physics, geometry and algebra. This is joint work with Peter Bantay.

Dienstag, den 20. September 2011 um 10:30 Uhr, in INF288, HS2 Dienstag, den 20. September 2011 at 10:30, in INF288, HS2