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Joint CRM-ICMAT Intensive Research Programme Poisson
Intensive Research Programme (IRP) -
From May 01, 2022 to October 02, 2022
IRP Poisson: Seminars
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From May 01, 2022 to October 02, 2022
Weather and Climate Extremes and their Predictability (CAFE Final Conference)
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From September 27, 2022 to September 29, 2022
Seminar: Bifurcated response of a regional forest to draught
Seminar -
October 13, 2022
AICA 2022. Applications to Industry of Computational Algebra
Workshop -
From November 10, 2022 to November 11, 2022
Jornada de dades
Conference -
November 18, 2022
BGSMATH: Stallings Automata and Applications
Advanced course / School -
From January 17, 2023 to February 16, 2023
Hypatia Graduate Summer School 2023
Advanced course / School -
From June 05, 2023 to June 09, 2023
19th School on Interactions Between Dynamical Systems and Partial Differential Equations (JISD2023)
Advanced course / School -
From July 03, 2023 to July 07, 2023
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CRM INVESTIGO Programme 2022 Call | 4 Open Positions
September 28, 2022
OPEN CALL: Post-doctoral Researcher in Industrial Mathematics (ref. 2022-010-P04400)
September 21, 2022
4 guanyadors del Premi Extraordinari de Batxillerat realitzen estades al Centre de Recerca Matemàtica
September 20, 2022
OPEN CALL: Postdoctoral positions at CRM
September 16, 2022
La col·laboració entre el CRM y el programa MAGNET arriba al seu quart any
September 10, 2022
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Centre de Recerca Matemàtica

Centre de Recerca Matemàtica
Singular Foliations Lecturer: Camille Laurent-Gengoux (Metz) Chair: Rui Fernandes (Urbana-Champaign) 22/07/2022 Foliations are partitions of a manifold into sub-manifolds called leaves. They are said to be singular when the dimension all some leaves are not constant. Orbits of Lie group actions, symplectic leaves of a Poisson bivector, symmetries of affine varieties are among examples. I will try to give a detailed proof of several basic but subtle theorems about singular foliations and to give an overview of the geometry of their singular leaves. Lecture 1: Discussion of the various possible definitions of singular foliation. Examples and counter examples. Existence of leaves and local splitting theorem. Lecture 2: Various algebraic or geometric structures hidden behind a singular foliation: holonomy Lie algebras, holonomy groupoids. Bi-submersions and first-return. Lecture 3: Open (and closed) questions from algebraic and differential geometry to theoretical physics. A problem session will take place after Lecture 2. + Info at https://www.crm.cat/2022-advanced-school-poisson/
Singular Foliations by CAMILLE LAURENT-GENGOUX (Metz) | 3/3
Singular Foliations Lecturer: Camille Laurent-Gengoux (Metz) Chair: Rui Fernandes (Urbana-Champaign) 20/07/2022 Foliations are partitions of a manifold into sub-manifolds called leaves. They are said to be singular when the dimension all some leaves are not constant. Orbits of Lie group actions, symplectic leaves of a Poisson bivector, symmetries of affine varieties are among examples. I will try to give a detailed proof of several basic but subtle theorems about singular foliations and to give an overview of the geometry of their singular leaves. Lecture 1: Discussion of the various possible definitions of singular foliation. Examples and counter examples. Existence of leaves and local splitting theorem. Lecture 2: Various algebraic or geometric structures hidden behind a singular foliation: holonomy Lie algebras, holonomy groupoids. Bi-submersions and first-return. Lecture 3: Open (and closed) questions from algebraic and differential geometry to theoretical physics. A problem session will take place after Lecture 2. + Info at https://www.crm.cat/2022-advanced-school-poisson/
Singular Foliations by CAMILLE LAURENT-GENGOUX (Metz) | 2/3
Singular Foliations Lecturer: Camille Laurent-Gengoux (Metz) Chair: Rui Fernandes (Urbana-Champaign) 19/07/2022 Foliations are partitions of a manifold into sub-manifolds called leaves. They are said to be singular when the dimension all some leaves are not constant. Orbits of Lie group actions, symplectic leaves of a Poisson bivector, symmetries of affine varieties are among examples. I will try to give a detailed proof of several basic but subtle theorems about singular foliations and to give an overview of the geometry of their singular leaves. Lecture 1: Discussion of the various possible definitions of singular foliation. Examples and counter examples. Existence of leaves and local splitting theorem. Lecture 2: Various algebraic or geometric structures hidden behind a singular foliation: holonomy Lie algebras, holonomy groupoids. Bi-submersions and first-return. Lecture 3: Open (and closed) questions from algebraic and differential geometry to theoretical physics. A problem session will take place after Lecture 2. + Info at https://www.crm.cat/2022-advanced-school-poisson/
Singular Foliations by CAMILLE LAURENT-GENGOUX (Metz) | 1/3
Introduction to Poisson Geometry | HENRIQUE BURSZTYN (IMPA) Chair: Eckhard Meinrenken (Toronto) 18/07/2022 This mini-course will offer a panoramic view of Poisson geometry, including both classical aspects and modern developments of the theory. We will start with basic definitions and concepts related to Poisson structures, some foundational results (local theory, symplectic leaves) and key examples. We will then discuss symplectic groupoids and more general connections with Lie groupoids and multiplicative geometric structures. I will also introduce Dirac structures, their main properties and various applications, both within and beyond Poisson geometry. + Information at https://www.crm.cat/2022-advanced-school-poisson/
WELCOME | Introduction to Poisson Geometry by HENRIQUE BURSZTYN (IMPA) | 1/4
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