Chaire Jean-Morlet
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CIRM - Jean-Morlet Chair

Jorge V. PEREIRA & Erwan ROUSSEAU

Foliation Theory and Complex Geometry
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Théorie des feuilletages et géométrie complexe

2020-Semester 1
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CONFERENCE
Foliation Theory and Complex Geometry (event 2252)
Théorie des feuilletages et géométrie complexe
Place: CIRM (Marseille Luminy, France)
CANCELLED DUE TO COVID-19
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DESCRIPTION
The theory of holomorphic foliations played an important role in major advances in complex algebraic geometry in the last few decades. It was key to the proof of the abundance conjecture in dimension three and to the proof of Green-Griffiths conjecture for surfaces of positive Segre class. Foliations also appear naturally on the structure theory of varieties (with mild singularities) with numerically trivial canonical divisor.
Complex algebraic geometry, specially birational geometry, provided a new impetus to the study of foliations and also a new paradigm. There is today a quite satisfactory classification of foliated surfaces according to their Kodaira dimension. Recently, foundational results on numerical properties of the canonical bundle of foliations have been proved, as well as reduction of singularities for foliations on 3-folds (both in codimension one and in dimension one). These two results together give strong evidence that a birational theory of foliations with mild singularities is ripe to be developed.
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This conference will put together specialists in foliation theory and complex algebraic geometry. It aims at fostering new collaborations at the intersections of these fields, and at disseminating among young researchers the main questions in these fascinating fields of research.

This event  is part of  a series of activities focusing on Foliation Theory and Complex Geometry, taking place remotely (virtually) as well as residentially at CIRM-Luminy during 2020.
SCIENTIFIC COMMITTEE
  • ​James McKernan (UC San Diego)
  • Fréderic Touzet (Université de Rennes 1)
  • Claire Voisin (Collège de France)
ORGANIZING COMMITTEE
  • Carlo Gasbarri (Université de Strasbourg)
  • Jorge Vitório Pereira (IMPA & Aix-Marseille Université)
  • Erwan Rousseau (Aix-Marseille Université)
INVITED SPEAKERS 
  • Carolina Araujo (IMPA)
  • Benjamin Bakker (University of Georgia)
  • Andre Belotto da Silva (Aix-Marseille Université)
  • Felipe Cano (University of Valladolid)
  • Junyan Cao (Sorbonne Université)
  • Guy Casale (Université de Rennes 1)
  • Dominique Cerveau (Université de Rennes 1)
  • Jean-Pierre Demailly (Université Grenoble-Alpes)
  • Dihn Tien-Cuong (University of Singapore)
  • ​Stéphane Druel (CNRS-Université Lyon 1)
  • Jun-Muk Hwang (Korea Institute for Advanced Study)
  • Tiago Jardim da Fonseca (University of Oxford)
  • Frank Loray (CNRS-Université de Rennes I)
  • Laurent Meersseman (Université d'Angers)
  • Daniel Panazzolo (Université de Haute-Alsace)
  • Calum Spicer (King’s College)
  • Roberto Svaldi (Ecole Polytechnique Fédérale de Lausanne)
  • Jaroslaw Wlodarszyk (Purdue University)
  • Susanna Zimmermann (Université d'Angers)

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