Summer school at University of Milano Bicocca, June 23rd-27th 2014

Asymptotic aspects of complex and algebraic geometry

under the auspices of the PhD program in Mathematics at University of Milano Bicocca

 

Goal of the school

The broad focus of the school is on the asymptotic manifestations of positivity in Kähler and algebraic geometry, viewed from different algebraic and analytic perspectives.
The school is specifically targeted at advanced undergraduate students, PhD students and young researchers that have a general interest in either complex differential or algebraic geometry, but should be of great interest to more experienced researchers as well.
In the last two decades, there has been a vast amount of research on asymptotic aspects in complex and algebraic geometry variously related to positivity concepts, ranging from, say, Bergman-Szegö kernels in Kähler geometry to Boij-Södenbergh theory of syzygies in algebra. All these ideas have brought into light many asymptotic tools, and uncovered new insights of analytic nature like approximation of metrics, of geometric nature like positivity aspects and vanishing theorems, and of algebraic nature like the study of syzygies of an algebraic variety. The following three introductory courses by leading researchers will offer an introduction to this fast growing and very fertile area of research.

 

Lecturers and Courses

Jean-Pierre Demailly (Université de Grenoble, France)
Kähler geometry, positivity aspects, structure theorems

Robert Lazarsfeld (Stony Brook University, USA)
Asymptotic properties of the defining equations and higher syzygies of projective varieties

Steve Zelditch (Northwestern University, USA)
Bergman kernels, Bergman metrics and their applications

 

General information

The summer school “Asymptotic aspects of complex and algebraic geometry” will take place during the period June 23rd-28th, 2014 at the Department of Mathematics and Applications of the Università degli Studi di Milano Bicocca (Milan, Italy).
This school is organized under the auspices and with the support of the PhD program in Pure and Applied Mathematics at Università degli Studi di Milano Bicocca.

No registration fee is required; nonetheless, we encourage participants to register following the instructions reported here. This may help the organizers to run smoothly the school and its related social activities.

In addition to the courses a limited number of seminars on related topics may be offered. Participants interested in giving a seminar should inform the organizers.

Regrettably, no financial assistance for participants is foreseen at the moment.

Detailed information about accommodation can be found here.

 

Scientific commettee

The conference is supervised by the complex/symplectic geometry group of the PhD program in Mathematics at University of Milano Bicocca:

Roberto Paoletti (roberto.paoletti@unimib.it) at Milano Bicocca
Costantino Medori (costantino.medori@unipr.it) at Parma
Adriano Tomassini (adriano.tomassini@unipr.it) at Parma

 

Local organizers

Francesco Bastianelli (francesco.bastianelli@unimib.it)
Victor Lozovanu (victor.lozovanu@unimib.it)
Roberto Paoletti (roberto.paoletti@unimib.it)