Geometria delle Varietà Algebriche
Dedicated to Alberto Conte on his 70th birthday
Torino, 21-23 March 2012

The geometry of higher genus generalization of modular curves
Gavril Farkas (Humboldt-Universität zu Berlin)

The moduli space Rg, l classifying pairs consisting of a genus g algebraic
curve C and a point of order l in the Jacobian variety of C, can be
thought of as a generalization both of the modular curves (which
correspond to the case g=1) as well as of the moduli space of Prym
varieties (which corresponds to the case l=2). I shall present a project
aimed at achieving a complete birational classification of all spaces Rg, l
and discuss (1) singularities of the moduli spaces, (2) construction of
geometric cycles on Rg, l using Koszul cohomology and (3) proving with the
help of computer algebra, the conjectures emerging via this construction.
Parts of this work are joint with A. Chiodo, D. Eisenbud and F.-O. Schreyer.



Titles and abstracts
Marco Andreatta (Università di Trento),
Minimal Model Program and Adjunction Theory
 Arnaud Beauville (Université de Nice)
One more counter-example to the Lüroth problem.		 Ciro Ciliberto (Università di Tor Vergata)
Gonality of nodal curves on general K3 surfaces
Eduardo Esteves (IMPA Rio de Janeiro)
Abel maps and limit linear series 		Gavril Farkas (Humboldt-Universität zu Berlin)
The geometry of higher genus generalization of modular curves		 Livia Giacardi (Università di Torino)
The Italian School of Algebraic Geometry and Mathematics
Teaching in Secondary Schools. Methodological
Approaches and Institutional and Publishing Initiatives.
Mirella Manaresi (Università di Bologna)
< a href=manaresi.pdf>Self Intersections of curves and surfaces and some classical formulas 		Massimiliano Mella (Università di Ferrara)
Unirational varieties (a Centennial account) 		Jacob Murre (Universiteit Leiden)
On the joint work of Alberto Conte and myself.
Rita Pardini (Università di Pisa)
Brill-Noether loci of divisors on irregular varieties		 Claudio Pedrini (Università di Genova)
Derived Categories of K3 surfaces and a conjecture of Orlov 		Christian Peters (Université de Grenoble)
A generalization of the Weil jacobian; from even cohomology to K-groups
Gaetana Restuccia (Università di Messina)
Graded modules generated by s-sequences 		Lorenzo Robbiano (Università di Genova)
Approximate Commutative Algebra: what does it mean? 		Simon Salamon, (King's College, Londra)
Algebraic surfaces from the twistor point of view
Bert van Geemen (Università di Milano)
The Geometry and Arithmetic of Maschke's Calabi-Yau threefold 		Alessandro Verra (Università Roma Tre)
Conic bundles in Torino in the seventies of last century

 
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Organizing committee: Alberto Albano, Elisabetta Ambrogio, Ernesto Buzano, Giuseppe Ceresa, Federica Galluzzi, Marina Marchisio, Claudio Pedrini, Daniela Romagnoli, Alessandro Verra, Giuseppe Vigna Suria