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Room P3.10, Mathematics Building
Arnaud Beauville, Laboratoire J. A. Dieudonné, Université de Nice
Vector bundles on curves and generalized theta functions. Abelian theta functions.
Definition, interpretation as sections of line bundles. The associated maps into projective space. The heat equation. The Heisenberg group.
References
Any good book on abelian varieties and theta functions, like:
O. Debarre. Tores et variétés abéliennes complexes. Cours Spécialisés 6. Société Mathématique de France, EDP Sciences (1999).