Foliations, birational geometry and applications - Thematic Month Week 2 / Feuilletages, géométrie birationnelle et applications - Mois thématique semaine 2

Collection Foliations, birational geometry and applications - Thematic Month Week 2 / Feuilletages, géométrie birationnelle et applications - Mois thématique semaine 2

Organizer(s) Araujo, Carolina ; Belotto Da Silva, André ; Pichon, Anne ; Rond, Guillaume ; Ruggiero, Matteo
Date(s) 03/02/2025 - 07/02/2025
linked URL https://conferences.cirm-math.fr/3268.html
00:00:00 / 00:00:00
3 9

An introduction to the Minimal Model Program for foliations lecture 1

By Calum Spicer

The Minimal Model Program is a (partially conjectural) framework of the classification of algebraic varieties. In the early 2000s Brunella, Mendes and McQuillan observed that this framework could be adapted to the study of foliations on projective surfaces. In recent years this program of study has been developed for foliations on higher dimensional projective varieties. Our first lecture will review the Minimal Model Program for surface foliations. We will then survey the recent developments in the topic, focusing especially on three cases where the theory of minimal models of foliations is most developed, namely for rank one foliations, co-rank one foliations and algebraically integrable foliations. Time permitting we will explain a very recent development: adjoint foliated structures. These structures arise naturally as a way to address some of the unique challenges which arise when studying minimal model techniques in the setting of foliations.

Information about the video

Citation data

  • DOI 10.24350/CIRM.V.20299403
  • Cite this video Spicer, Calum (03/02/2025). An introduction to the Minimal Model Program for foliations lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.20299403
  • URL https://dx.doi.org/10.24350/CIRM.V.20299403

Last related questions on MathOverflow

You have to connect your Carmin.tv account with mathoverflow to add question

Ask a question on MathOverflow




Register

  • Bookmark videos
  • Add videos to see later &
    keep your browsing history
  • Comment with the scientific
    community
  • Get notification updates
    for your favorite subjects
Give feedback