Department of

Mathematics


Seminar Calendar
for events the day of Wednesday, January 23, 2019.

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Wednesday, January 23, 2019

3:00 pm in 2 Illini Hall,Wednesday, January 23, 2019

Torelli Theorem for curves

Lutian Zhao   [email] (UIUC Math)

Abstract: Jacobians are parametrizing the degree 0 line bundles. By sending a curve to its Jacobian we can get a polarized Abelian variety. The Torelli Theorem states we can reverse this map, i.e. for a polarized Abelian variety we can reconstruct the same curve. In this talk, Iíll start from Jacobian and prove the theorem. If time permitted, Iíll define the Torelli map for nodal curves.