Hitchin`s connection and non-abelian Prym varieties

Invitation to Seminar Talk
Hitchin's connection and non-abelian
Prym varieties
Christian Pauly
Laboratoire J.A. Dieudonné, Nice
Host: Tamas Hausel
In the first half of the talk I will introduce Hitchin's connection on the sheaf of generalized theta
functions of level l on the moduli space of rank-r vector bundles for a family of smooth projective
curves and show that its monodromy representation is infinite, except in some special cases.
In the second half of the talk I will discuss these special cases. Some of them (l=1, any r) and (l=4,
r=2) are related to abelian theta functions (having finite monodromy). The latter case will involve
abelian and non-abelian Prym varieties.
This is work in progress with Thomas Baier, Michele Bolognesi and Johan Martens.
Thursday, October 27, 2016, 02:00pm
Seminar Room Big Ground Floor / Office Building West
Thi s invi tation is va lid as a ti cket for the IST Shuttle from a nd to Heiligenstadt Station. Pl ease find a s chedule
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http://i st.ac.at/fileadmin/user_upload/pdfs/IST_shuttle_bus.pdf
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