[Binghamton Geometry/Topology Seminar] Nov 10

[Dmytro Savchuk]

                   BINGHAMTON GEOMETRY/TOPOLOGY SEMINAR

*Date:*  Thursday, Nov 10, 2011

*Time:*  2:50-3:50pm
*Place:*  Library North 2205 followed by coffee/tea in the Anderson Reading
Room.

*Speaker:* Lizhen Ji (University of Michigan)
*Title: *The Coarse Schottky problem and generalizations
*
Abstract:*  The period of a compact Riemann surface induces the period map
from the moduli space of compact Riemann surfaces to the Siegel modular
variety, and the classical Schottky problem is to characterize the image of
the period map, or equivalently to characterize Jacobian varieties among
principally polarized abelian varieties. The coarse Schottky problem is to
describe the image of the period map from the point of large scale geometry
when the Siegel modular variety is considered as a noncompact metric space
with respect to the natural metric.
One purpose of this talk is to discuss a solution to the Coarse Schottky
problem.
Another purpose is to discuss the analogous problem for the period map from
the moduli space of compact tropical curves (or compact metric graphs) and
possible application to the outer space of marked metric graphs, which is
an analogue of Teichmuller spaces for the outer automoerphism group of free
groups.
-------------- next part --------------
An HTML attachment was scrubbed...
URL: http://www1.math.binghamton.edu/pipermail/topsem/attachments/20111107/dcd3ecb0/attachment.html