EMS Summer School with support of CIRM (Trento)

TiME 2019

Curves and Surfaces

A History of Shapes


Hotel Bellavista - Levico Terme, Italy | September 2 - 6, 2019

This school was inspired by the work of Guido Castelnuovo and Federigo Enriques, two of the main protagonists of the so-called Italian school of Algebraic Geometry, who established, between the 19th and the 20th century the classification of algebraic surfaces and introduced powerful ideas and tools to study algebraic curves. We explored the huge heritage of these mathematicians of the past and connect it to contemporary mathematical research.

We had three mini-courses given by experts:

Implicit representations of rational curves and surfaces

by Laurent Busé (Inria, FR)


The $P_12$-theorem: an introduction to the classification of algebraic surfaces via its historical development

by Fabrizio Catanese (U. Bayreuth, GE)


Linear systems of hypersurfaces and beyond

by Elisa Postinghel (U. Loughborough, UK)


There was an additional "Historical Lecture" by Claudio Fontanari (U. of Trento, IT) on the intellectual figure of Guido Castelnuovo and his mathematical work.

Moreover, we had exercise sessions, reading of original literature, software tutorials, and more!

For any question, contact us at the email

time2019curvesandsurfaces@gmail.com

Organizers:Matteo Gallet (SISSA)Kathlén Kohn (U. of Oslo)Alessandro Oneto (OvGU Magdeburg)Marta Panizzut (TU Berlin)Emanuele Ventura (Texas A&MU)

Scientific Committee:Giorgio Ottaviani (U. di Firenze)Ragni Piene (U. of Oslo)Bernd Sturmfels (UC Berkeley and MPI Leipzig)