In mathematics, tautness is a rigidity property of foliations. A taut foliation is a codimension 1 foliation of a closed manifold with the property that every leaf meets a transverse circle. By transverse circle, is meant a closed loop that is always transverse to the tangent field of the foliation. If the foliated manifold has non-empty tangential boundary, then a codimension 1 foliation is taut if every leaf meets a transverse circle or a transverse arc with endpoints on the tangential boundary. Equivalently, by a result of Dennis Sullivan, a codimension 1 foliation is taut if there exists a Riemannian metric that makes each leaf a minimal surface. Furthermore, for compact manifolds the existence, for every leaf , of a transverse circle meeting , implies the existence of a single transverse circle meeting every leaf. Taut foliations were brought to prominence by the work of William Thurston and David Gabai. (Wikipedia).
S. Ghazouani - Isoholonomic foliations of moduli spaces of Riemann surfaces
In this talk, I will introduce families of foliations on the moduli space of Riemann surfaces M_{g,n} which we call Veech foliations. These foliations are defined by identifying M_{g,n} to certain moduli spaces of flat structures and were first defined by Bill Veech. I will try to expose t
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
E. Floris - Birational geometry of foliations on surfaces (Part 1)
The goal of this minicourse is to introduce MMP for foliations on surfaces and to outline the classification of foliations on projective surfaces up to birational equivalence.
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
Reeb flows transverse to foliations - Jonathan Zung
Joint IAS/Princeton/Montreal/Paris/Tel-Aviv Symplectic Geometry Topic:v Reeb flows transverse to foliations Speaker: Jonathan Zung Affiliation: Princeton Date: June 25, 2021 Eliashberg and Thurston showed that taut foliations on 3-manifolds can be approximated by tight contact structu
From playlist Mathematics
Taut co-oriented foliations - Rachel Roberts
Rachel Roberts, WUSTL Workshop on Flows, Foliations and Contact Structures 2015-2016 Monday, December 7, 2015 - 08:00 to Friday, December 11, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 academic
From playlist Workshop on Flows, Foliations and Contact Structures
Floer homology, group orders, and taut foliations of hyperbolic 3-manifolds - Nathan Dunfield
Nathan Dunfield, IAS Workshop on Flows, Foliations and Contact Structures 2015-2016 Monday, December 7, 2015 - 08:00 to Friday, December 11, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 academic
From playlist Workshop on Flows, Foliations and Contact Structures
E. Floris - Birational geometry of foliations on surfaces (Part 2)
The goal of this minicourse is to introduce MMP for foliations on surfaces and to outline the classification of foliations on projective surfaces up to birational equivalence.
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
Nathan Dunfield, Lecture 3: Floer Homology and Taut Foliations of Hyperbolic 3-Manifolds
33rd Workshop in Geometric Topology, Colorado College, June 11, 2016
From playlist Nathan Dunfield: 33rd Workshop in Geometric Topology
Ian Agol University of California, Berkeley; Distinguished Visiting Professor, School of Mathematics October 12, 2015 http://www.math.ias.edu/calendar/event/89554/1444672800/1444676400 I'll review recent progress on properties of 3-manifold groups, especially following from geometric pr
From playlist Members Seminar
Sarah Rasmussen - Left invariant orders and Heegaard Floer
June 22, 2018 - This talk was part of the 2018 RTG mini-conference Low-dimensional topology and its interactions with symplectic geometry Potential connections between Heegaard Floer homology and left invariant orders on the fundamental group
From playlist 2018 RTG mini-conference on low-dimensional topology and its interactions with symplectic geometry I
E. Floris - Birational geometry of foliations on surfaces (Part 3)
The goal of this minicourse is to introduce MMP for foliations on surfaces and to outline the classification of foliations on projective surfaces up to birational equivalence.
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
E. Floris - Birational geometry of foliations on surfaces (Part 4)
The goal of this minicourse is to introduce MMP for foliations on surfaces and to outline the classification of foliations on projective surfaces up to birational equivalence.
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
Coarse hyperbolicity and closed orbits for quasigeodesic flows - Steven Frankel
Steven Frankel, IAS Workshop on Flows, Foliations and Contact Structures 2015-2016 Monday, December 7, 2015 - 08:00 to Friday, December 11, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 academic y
From playlist Workshop on Flows, Foliations and Contact Structures
Danny Calegari: Big Mapping Class Groups - lecture 5
Part I - Theory : In the "theory" part of this mini-course, we will present recent objects and phenomena related to the study of big mapping class groups. In particular, we will define two faithful actions of some big mapping class groups. The first is an action by isometries on a Gromov-h
From playlist Topology
Taut foliations and cyclic branched covers - Cameron Gordon
Cameron Gordon, Univ Texas Workshop on Flows, Foliations and Contact Structures 2015-2016 Monday, December 7, 2015 - 08:00 to Friday, December 11, 2015 - 12:00 This workshop is part of the topical program "Geometric Structures on 3-Manifolds" which will take place during the 2015-2016 aca
From playlist Workshop on Flows, Foliations and Contact Structures
H. Reis - Introduction to holomorphic foliations (Part 1)
The purpose of this course is to present the basics of the general theory of (singular) holomorphic foliations. We will begin with the general definition of a (regular) foliation and its relation with Frobenius Theorem. We will then introduce the singular analogues of these notions in the
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
FHN 3D tip-splitting - rotation around the final frame
A visualisation of the 3D patttern resulting from FHN tip-splitting inside a cube. Rendered with Blender using ambient occlusion. Reaction-diffusion by the open-source program: http://code.google.com/p/reaction-diffusion/
From playlist Ready
F. Touzet - About the analytic classification of two dimensional neighborhoods of elliptic curves
I will investigate the analytic classification of two dimensional neighborhoods of an elliptic curve C with trivial normal bundle and discuss the existence of foliations having C as a leaf. Joint work with Frank Loray and Sergey Voronin.
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
H. Reis - Introduction to holomorphic foliations (Part 4)
The purpose of this course is to present the basics of the general theory of (singular) holomorphic foliations. We will begin with the general definition of a (regular) foliation and its relation with Frobenius Theorem. We will then introduce the singular analogues of these notions in the
From playlist Ecole d'été 2019 - Foliations and algebraic geometry
An embodiment of "Sarrus linkage 1". Two planes of two planar slider-crank mechanisms are not necessary to be perpendicular to each other. It is enough that they are not parallel.
From playlist Mechanisms
Adolfo Guillot: Complete holomorphic vector fields and their singular points - lecture 2
CIRM VIRTUAL EVENT Recorded during the research school "Geometry and Dynamics of Foliations " the May 11, 2020 by the Centre International de Rencontres Mathématiques (Marseille, France) Filmmaker: Guillaume Hennenfent Find this video and other talks given by worldwide mathematicians on C
From playlist Virtual Conference