Extended Abstracts February 2016 | Positivity and Valuations | ISBN 9783030000271

Extended Abstracts February 2016

Positivity and Valuations

herausgegeben von Maria Alberich-Carramiñana, Carlos Galindo, Alex Küronya und Joaquim Roé
Mitwirkende
Herausgegeben vonMaria Alberich-Carramiñana
Herausgegeben vonCarlos Galindo
Herausgegeben vonAlex Küronya
Herausgegeben vonJoaquim Roé
Buchcover Extended Abstracts February 2016  | EAN 9783030000271 | ISBN 3-030-00027-3 | ISBN 978-3-030-00027-1

Extended Abstracts February 2016

Positivity and Valuations

herausgegeben von Maria Alberich-Carramiñana, Carlos Galindo, Alex Küronya und Joaquim Roé
Mitwirkende
Herausgegeben vonMaria Alberich-Carramiñana
Herausgegeben vonCarlos Galindo
Herausgegeben vonAlex Küronya
Herausgegeben vonJoaquim Roé

This volume contains extended abstracts outlining selected talks and other selected presentations given by participants of the workshop „Positivity and Valuations“, held at the Centre de Recerca Matemàtica (CRM) in Barcelona from February 22nd to 26th, 2016. They include brief research articles reporting new results, descriptions of preliminary work or open problems, and the outcome of work in groups initiated during the workshop.
The general subject is the application of valuation theory to positivity questions in algebraic geometry. The topics covered range from purely algebraic problems like finite generation of semigroups and algebras defined by valuations, and properties of the associated Poincaré series, to more geometric questions like resolution of singularities and properties of Newton-Okounkov bodies, linked with non-archimedean geometry and tropical geometry.
The book is intended for established researchers, as well as for PhD and postdoctoral students who want to learn more about the latest advances in these highly active areas of research.