Let $M_g$ denote the moduli space of compact Riemann surfaces of genus $g$ and let $A_g$ be the moduli space of principally polarized abelian varietes of dimension $g$. The map $J: M_g\to A_g$ which associates to a Riemann surface its Jacobian is injective and the image $J_g:=J(M_g)$ is contained in a proper subvariety of $A_g$ when $g\geq 4$. The classical and longstudied Schottky problem is to characterize the Jacobian locus $J_g$ in $A_g$. In the talk we adress a large scale version of this problem posed by B. Farb: What does $J_g$ look like "from far away", or how dense is $J_g$ in the sense of coarse geometry?
Dienstag, den 29. Januar 2013 um 12:00 Uhr, in INF 288, HS 5 Dienstag, den 29. Januar 2013 at 12:00, in INF 288, HS 5
Der Vortrag folgt der Einladung von The lecture takes place at invitation by Prof. Dr. Anna Wienhard