On Shimura curves in the Torelli locus of curves
Xin Lu (Mainz)
What 


When 
Nov 21, 2013 from 03:15 pm to 04:15 pm 
Where  Mainz, 05432 (Hilbertraum) 
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Oort
has conjectured there do not exist Shimura curves lie generically of Torelli
locus of curves of genus $g \geq 8$.
We show that there do not exist Shimura families of semistable curves of
genus $g\geq 5$ over curves of Mumford type.
We
also show that there do not exist Shimura curves, which lie generically in the
Torelli locus of hyperelliptic curves of genus $g\geq 8$.
The first result proves a slight weaker form of the conjecture for the case of
Shimura curves of Mumford type.
The second result proves the conjecture for the Torelli locus of hyperelliptic
curves.