Curves and their Jacobians:

State of the Art

Bellavista Relax Hotel, Levico Terme (Trento), Italy

February, 2013


Fototeca Trentino SPA – Foto Bruno Spagnolli


Scientific Organizers

  • Claudio Fontanari (University of Trento)
  • Edoardo Sernesi (University of Roma Tre)

Tentative Program

áClick here to see the program

Confirmed Participants

áClick here to see the list

Format and Topics

The title of the workshop is inspired by the celebrated book by David Mumford: Curves and their Jacobians, The University of Michigan Press, Ann Arbor 1975, collecting four lectures delivered by the author in November 1974. Almost forty years later, the four topics addressed by Mumford are still of deep interest in algebraic geometry and it is worth to take stock of the situation. The index of Mumford’s masterpiece reads as:

Lecture I: What is a curve and how explicitly can we describe them?

Lecture II: The moduli space of curves: definition, coordinatization, and some properties.

Lecture III: How Jacobians and theta functions arise.

Lecture IV: The Torelli theorem and the Schottky problem.

Correspondingly, the workshop consists of four courses (of 5 hours each, to be spread on four days) devoted to the contemporary state of the art delivered by:

Marian Aprodu (Bucharest): Equations and syzygies of projective curves. (program)

Gabriele Mondello (Roma I): Riemann surfaces, ribbon graphs and combinatorial classes. (program)

Paolo Stellari (Milano): Derived categories and the geometry of curves and their Jacobians. (program)

Filippo Viviani (Roma Tre): The Torelli morphism and the Torelli theorem. (program)


áFor registering in the workshop please complete and submit our registration form to the Secretary of CIRM. Young researchers are encouraged to participate. It is possible to support some of them upon request. People interested in having such a support should send a short CV to the Secretary of CIRM together with the registration form.

No registration fee will be charged.



Deadline for registration: January 15, 2013.

áLogistic Information

The conference will be held in the conference hall of the Bellavista Relax Hotel in Levico Terme (Trento). Participants will be lodged in the same hotel. Arrival day is Tuesday, February 12thá in the afternoon/evening. Lectures will start in the morning of Wednesday, February 13thá and end in the morning of Saturday, February 16th . Departure day is Saturday, February 16thá after lunch. The cost for the full board at Bellavista Relax Hotel is:

Please click here to find Information to reach Levico Terme and the conference site.