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European Mathematical Society Publishing House
2016-09-19 17:05:21
Oberwolfach Reports
Oberwolfach Rep.
OWR
1660-8933
1660-8941
General
10.4171/OWR
http://www.ems-ph.org/doi/10.4171/OWR
subscribers
European Mathematical Society Publishing House
Zuerich, Switzerland
© Mathematisches Forschungsinstitut Oberwolfach
9
2012
2
Classical Algebraic Geometry
Olivier
Debarre
École Normale Supérieure, PARIS CEDEX 05, FRANCE
David
Eisenbud
Mathematical Sciences Research Institute, BERKELEY, UNITED STATES
Frank-Olaf
Schreyer
Universität des Saarlandes, SAARBRÜCKEN, GERMANY
Ravi
Vakil
Stanford University, STANFORD, UNITED STATES
Progress in algebraic geometry often comes through the introduction of new tools and ideas to tackle the classical problems the development of the field. Examples include new invariants that capture some aspect of geometry in a novel way, such as the derived category, and the extension of the class of geometric objects considered to allow constructions not previously possible, such as the transition from varieties to schemes or from schemes to stacks. Many famous old problems and outstanding conjectures have been resolved in this way over the last 50 years. While the new theories are sometimes studied for their own sake, they are in the end best understood in the context of the classical questions they illuminate. The goal of the workshop was to study new developments in algebraic geometry, with a view toward their application to the classical problems.
Algebraic geometry
General
1845
1893
10.4171/OWR/2012/30
http://www.ems-ph.org/doi/10.4171/OWR/2012/30