Classical algebraic geometry. Abstracts from the workshop held June 12--18, 2016
type: Item
instance of: scholarly article
title: Classical algebraic geometry. Abstracts from the workshop held June 12--18, 2016
zbMATH Open document ID: 1380.00063
DOI: 10.4171/OWR/2016/29
published in: Oberwolfach Reports
publication date: 2018-02-21T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 00B05
Mathematics Subject Classification ID: 00B25
Mathematics Subject Classification ID: 14-06
Mathematics Subject Classification ID: 14Nxx
Mathematics Subject Classification ID: 14Hxx
Mathematics Subject Classification ID: 14Mxx
zbMATH DE Number: 6841694
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.4171/owr/2016/29
OpenAlex ID: W4252950989
description: scientific article; zbMATH DE number 6841694