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Curves and their Jacobians: State of the Art

  • Levico Terme, Trentino, Italy - Fototeca Trentino SPA – Foto Bruno Spagnolli
Dipartimento di Matematica, Università di Trento
Dipartimento di Matematica, Università di Roma Tre
13 Feb 2013 to 16 Feb 2013

Bellavista Relax Hotel, Levico Terme (Trento), Italy

Scientific organizers: 
Claudio Fontanari (University of Trento)
Edoardo Sernesi (University of Roma Tre)
[List of speakers]

Tentative program

Wednesday, 13

9:00-11:00 Mondello
11:00-11:30 Coffee break
11:30-12:30 Viviani
13:00 Lunch
15:00-17:00 Aprodu
17:00-17:30 Break
17:30-18:30 Stellari
19:30 Dinner

Thursday, 14

9:00-11:00 Viviani
11:00-11:30 Coffee break
11:30-12:30 Aprodu
13:00 Lunch
15:00-17:00 Stellari
17:00-17:30 Break
17:30-18:30 Mondello
19:30 Dinner

Friday, 15

9:00-11:00 Aprodu

11:00-11:30 Coffee break
11:30-12:30 Stellari
13:00 Lunch
15:00-17:00 Mondello
17:00-17:30 Break
17:30-18:30 Viviani
19:30 Dinner

Saturday, 16

9:00-11:00 Stellari
11:00-11:30 Coffee break
11:30-12:30 Viviani
13:00 Lunch

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 theorm (program).

Registration info

For 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.

Logistic 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 12th in the afternoon/evening. Lectures will start in the morning of Wednesday, February 13th and end in the morning of Saturday, February 16th . Departure day is Saturday, February 16th after lunch. The cost for the full board at Bellavista Relax Hotel is:

  • 86,00 EUR per night in a single bedroom
  • 68,00 EUR per night per person in a double bedroom.

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