GALILEO GALILEI FOUNDATION
WORLD FEDERATION OF SCIENTISTS
ETTORE MAJORANA CENTRE FOR SCIENTIFIC CULTURE

GALILEO GALILEI CELEBRATIONS
Four Hundred Years Since the Birth of MODERN SCIENCE

INTERNATIONAL SCHOOL OF MATHEMATICS
«G. STAMPACCHIA»

35th Workshop:

EXTERIOR METHODS AND OTHER NEW DIRECTIONS IN ALGEBRAIC GEOMETRY

A NATO Advanced Study Institute

ERICE-SICILY: 8 - 15 SEPTEMBER 2001

Sponsored by the:

Italian Ministry of University Scientific Research and Technology
Sicilian Regional Government

PROGRAMME AND LECTURERS

Beilison monad
Exterior minors
Chow forms
Minimal free resolution conjecture
Exterior algebra methods
Linear syzygies
Cohomology over exterior algebras
Sheaf cohomology
Hyperplane arrangement
Graded Betti numbers
Hilbert schemes over exterior algebras
BGG correspondence for complete intersections
Stable principal bundles
Grothendieck duality

• L. AVRAMOV, Purdue University, West Lafayette, IN, USA
• A. BEAUVILLE, University of Nice, F
• R. BUCHWEITZ, University of Toronto, CDN
• C. CILIBERTO, University "Tor Vergata" of Rome, I
• F. CATANESE, University of Gottingen, D
• W. DECKER, University of Saarland, D
• G. ELLINGSRUD, University of Oslo, N
• M. GREEN, UCLA, Los Angeles, CA, USA
• J. HERZOG, University of Essen, D
• A. HIRSCHOWITZ, University of Nice, F
• C. PESKINE, University of Paris VI, F
• K. RANESTAD, University of Oslo, N
• F.O. SCHREYER, University of Bayreuth, D
• M. TEICHERS, Bar-Ilan University, Ramat Gan, IL
• F. ZAK, CEMI, Russian Academy of Sciences, Moscow, Russia

PURPOSE OF THE WORKSHOP

The aim of the Workshop is to point out the new developments in Algebraic Geometry in the last few years and the prospects of many theories in this field, including curves and their moduli, surfaces and higher dimensional varieties, vector bundles and toric varieties. Special attention will be focused on exterior algebra methods, which have recently become more and more important in computational algebraic geometry, syzygies, hyperplane arrangements, the theory of Chow forms and resultants and combinatorics.

All the lectures will be given by the most outstanding experts in the field at a first-line research level. They will treat various aspects of their recent works, mainly in progress, that involve the exterior algebra methods and the way to use them to solve both classical and emerging problems. Furthermore a large section of the Workshop will be devoted to other recent and new directions in Algebraic Geometry.

APPLICATIONS

Persons wishing to attend the Workshop should apply in writing to:

• Professor Alfio RAGUSA
  Department of Mathematics and Informatics
  University of Catania
  Viale Andrea Doria, 6 - 95125 CATANIA
  Tel. +39.095.7383069 - Fax. +39.095.330094
  e-mail: ragusa@dipmat.unict.it

specifying:

i)    Full name, address, age and nationality;
ii)   Academic qualifications and number of publications;
iii)  List of publications;
iv)  Present position and place of work.

Closing date for application: June 15, 2001

• PLEASE NOTE

Participants must arrive in Erice on September 8, 2001, not later than 5 p.m.

D. EISENBUD - L. BADESCU - A. RAGUSA - S. POPESCU DIRECTORS OF THE WORKSHOP

F. GIANNESSI DIRECTOR OF THE SCHOOL

A. ZICHICHI DIRECTOR OF THE CENTRE