Given a curve (Riemann surface), one can construct an abelian variety: its Jacobian. Abelian varieties are quotients of vector spaces by lattices. The classical Torelli theorem states that the Jacobian determines the curve. We discuss some generalizations of this and their history.
Penn Mathematics Colloquium
Friday, January 21, 2011 - 11:00am
Elham Izadi
University of Georgia