This advanced school is part of the
Poisson 2022 Advanced School
Sign into July 22, 2022
Please, stay in this webpage if you are registering just for the Poisson 2022 Advanced School taking place at the CRM or if you are applying for a grant.
HYBRID ACTIVITY
Attendance to this advanced school will also be available online (except for the problem sessions). If you wish to attend online, please select the relevant option during the registration process.
Send your submissions for the Journal of Geometry and Physics
Poisson Geometry in Mathematics and PhysicsPoisson geometry is a fast-developing field at the intersection of geometry and mathematical physics stimulated by its connections with differential geometry, Lie theory, quantization, noncommutative geometry, representation theory, quantum groups, geometric mechanics and integrable systems. Applications are found in the theory of geometric phases, string theory, nonlinear control theory, nonholonomic mechanics, locomotion generation in robotics, and planetary mission design. This Special issue reflects the activity at the Joint CRM-ICMAT intensive research program IRP in Barcelona and Madrid. The two flagship activities of this IRP were the Poisson 2022 School at the CRM in and the Poisson 2022 conference at the ICMAT in July 2022. Guest editors:
Manuscript submission information: Authors are encouraged to submit an original paper not published or submitted elsewhere to a special issue of Journal of Geometry and Physics (JGP). The submission website for this journal is located at: Editorial Manager®. To ensure that your manuscripts are correctly identified for inclusion into the special issue we are editing, it is important that authors select VSI: Poisson Geometry when they reach the “Article Type” step in the submission process. The papers should be written in English, carefully checked for correct grammar and spelling. Each paper should clearly indicate the nature o its scientific contribution. Manuscripts should be prepared using LaTeX and followed the JGP Guide for Authors. Submission of a manuscript will be understood to mean that the paper is not being considered for publication elsewhere. Papers that are not prepared according to the above instructions or badly written will be immediately rejected. All papers will be subject to a peer review process. Important Dates
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Description
The Summer School on Poisson Geometry aims to introduce the participants to Poisson Geometry and related fields, as well as to present some of the most recent developments and open problems in the field. The targeted audience is final-year undergraduate students, graduate students and young researchers. The only required background is basic differential geometry.
The school will consist of four minicourses during one week. There will be problems sessions to promote the participation of the students of the school, and also several activities to foster social interaction.
This school will be followed by a week-long conference which will take place in Madrid.
About Poisson Geometry
Poisson Geometry lies on the crossroads of Mathematical Physics and Geometry. It originates in the mathematical formulation of Hamiltonian mechanics and as the semiclassical limit of quantum systems. Although Poisson structures can be traced back to some of the classical works of the 19th century (Poisson, Hamilton, Jacobi, Lie), Poisson Geometry started as a field around 1980 with the work of Lichnerowicz, Weinstein, etc. The field developed rapidly, stimulated by the connections with a large number of areas in mathematics and mathematical physics, including differential geometry and Lie theory, quantization, noncommutative geometry, representation theory and quantum groups, geometric mechanics, and integrable systems.
Lecturers
Wonderful Compactifications
Lecturer: Ana Balibanu (Harvard)
Person in charge of the problems sessions: Yu Li (MPIM, Bonn), Problem List WC
Chair: Marco Gualtieri (Toronto)
Abstract: Every complex semisimple group of adjoint type has a canonical, smooth compactification which encodes the asymptotic behavior of the group “at infinity.” It is constructed using representation-theoretic data, and its geometry is indexed by the combinatorics of the corresponding root system. This course will outline some of the remarkable properties of this algebraic variety, and some of its many applications.
Lecture 1: Outline of the construction. Structure theory of the wonderful compactification, its boundary divisor, and distinguished subvarieties.
Lecture 2: Poisson structures associated to the compactification. Poisson homogeneous spaces and the variety of Lagrangian subalgebras.
Lecture 3: Current developments, additive analogues, and connections to combinatorics and algebraic geometry.
VIDEO 1
VIDEO 2
VIDEO 3
Introduction to Poisson Geometry
Lecturer: Henrique Bursztyn (IMPA), Slides IPG
Person in charge of the problems sessions: Pedro Carvalho (IMPA), Problem List IPG
Chair: Eckhard Meinrenken (Toronto)
Abstract: 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.
VIDEO 1
VIDEO 2
VIDEO 3
VIDEO 4
Singular Foliations
Lecturer: Camille Laurent-Gengoux (Metz)
Person in charge of the problems sessions: Ruben Louis (Univ Lorraine)
Chair: Rui Fernandes (Urbana-Champaign)
Abstract: 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.
VIDEO 1
VIDEO 2
VIDEO 3
Geometric quantization, old and new
Lecturer: Jonathan Weitsman (Northeastern University)
Person in charge of the problems sessions: Pau Mir (UPC), Problem List GQ
Chair: Chenchang Zhu (Goettingen)
Abstract: We give an overview of Geometric Quantization, with an emphasis on examples and on invariance of polarization, and on applications to analysis and representation theory. We then study recent extensions of the theory which apply to the a class of Poisson manifolds, the b-symplectic manifolds, when equipped with Hamiltonian torus actions.
REGISTRATION
advanced school
REGISTRATION FEE FOR ON-SITE PARTICIPATION: 200€*
* includes reception, coffee breaks, daily lunch and a guided visit to Barcelona.
If you wish to register for the POISSON Advanced School, please click on the SIGN IN botton.
* Due to space limitations, registration will be served on first-come first-served basis (maximum attendance 100 participants)
REGISTRATION FEE FOR ON-LINE PARTICIPATION: 0€ (Registration for online participants is free but mandatory in order to have access to the ZOOM link for the sessions)
advanced school & the conference
You can register for both activities, the Poisson Advanced School taking place at the CRM from 18-22 July 2022 and the Poisson Conference, taking place at the ICMAT from 25-29 July 2022.
COMBINED REGISTRATION FEE: 300€
The combined registration covers:
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- For the Advanced Course: reception, coffee breaks, daily lunch and a guided visit to Barcelona.
- For the Poisson 2022 Conference: reception, coffee breaks and conference dinner.
* If you wish to apply for a grant for the Advanced Course, you will need to register separately through this website and through the conference website (click here)
REGISTRATION TO BOTH ACTIVITIES
Grants
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- Application deadline is May 15, 2022
- Resolutions will be sent by June 02, 2022
* grants cover everything included with the registration (reception, coffee breaks, daily lunch and a guided visit to Barcelona).
Organizers
Mario García Fernández (ICMAT–UAM)
David Iglesias Ponte (La Laguna)
David Martín de Diego (ICMAT–CSIC)
Anastasiia Matveeva (UPC)
Eva Miranda (UPC-CRM) – Chair
Cédric Oms (UPC)
Daniel Peralta-Salas (ICMAT–CSIC)
Roberto Rubio (UAB)
Scientific committee
Chenchang Zhu (Goettingen) – Chair
Anton Alekseev (Geneva)
Henrique Bursztyn (IMPA)
Rui Loja Fernandes (Urbana-Champaign)
Eckhard Meinrenken (Toronto)
Jiang-Hua Lu (Hong Kong)
INVOICE/PAYMENT INFORMATION
IF YOUR INSTITUTION COVERS YOUR REGISTRATION FEE: Please note that, in case your institution is paying for the registration via bank transfer, you will have to indicate your institution details and choose “Transfer” as the payment method at the end of the process.
UPF | UB | UPC | UAB
*If the paying institution is the UPF / UB/ UPC / UAB, after registering, please send an email to vramirez@crm.cat with your name and the institution internal reference number that we will need to issue the electronic invoice. Please, send us the Project code covering the registration if needed.
IDIBAPS
*If the paying institution is IDIBAPS, please send an email to vramirez@crm.cat with the Project reference code that will cover the registration cost, to be added to the invoice if necessary.
Paying by credit card
IF YOU PAY VIA CREDIT CARD but you need to provide the invoice to your institution to be reimbursed, please note that we will also need you to send an email to vramirez@crm.cat providing the internal reference number given by your institution and the code of the Project covering the registration (if necessary).
Lodging information
If you are not applying for a grant, here you can find some options regarding accommodation during the event.
ON-CAMPUS AND BELLATERRA
BARCELONA AND OFF-CAMPUS
LIST OF PARTICIPANTS OF THE ADVANCED COURSE
Name | Institution |
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Noriaki Ikeda | Ritsumeikan University |
Yu Li | Max Planck Institute for Mathematics |
Eva Miranda Galcerán | Universitat Politècnica de Catalunya |
Matthew Koster | University of Toronto |
Anna Blanco Cabanillas | Universitat de Barcelona |
Ruben LOUIS | University of Lorraine |
Roberto Rubio Núñez | Universitat Autònoma de Barcelona |
Amine Bahayou | Kasdi Merbah University |
Jair Koiller | Federal University of Rio de Janeiro |
Luis P. Yapu Quispe | Federal University of Rio de Janeiro |
Thiago Paulichen | Universidade Federal do Paraná |
Fabio Gironella | Humboldt University of Berlin |
Milan Niestijl | Delft University of Technology |
Aline Leite Vilela D\\\'Oliveira | University of Illinois at Urbana–Champaign |
Henrique Bursztyn | Instituto Nacional de Matematica Pura e Aplicada |
Sourav Das | University of Haifa |
Ana Balibanu | Harvard University |
King Leung Lee | Universidad Autónoma de Madrid |
Pedro Silva | IMPA |
Aldo Witte | Katholieke Universiteit Leuven |
Yunhyung Cho | Sungkyunkwan University |
Lory Kadiyan | University of Bonn |
Pallav Goyal | University of Chicago |
Lennart Obster | University of Coimbra |
Andreas Kraft | Institute of Mathematics of the Polish Academy of Sciences |
Cédric Oms | École normale supérieure de Lyon |
Maarten Mol | Utrecht University |
Véronique Chloup | University of Lorraine |
Kentaro Mikami | Akita University |
Margherita De Fata | Sapienza University of Rome |
Rea Dalipi | Swiss Federal Institute of Technology in Zurich |
Cédric Oms | École normale supérieure de Lyon |
Pau Mir | Universitat Politècnica de Catalunya |
Jin Hong Kim | Chosun University |
Dimitrios Konstantinidis | Aristotle University of Thessaloniki |
Álvaro Fernandez Mora | Universitat de Barcelona |
Tobias Witt | Ruprecht Karl University of Heidelberg |
Charlotte Kirchhoff-Lukat | Massachusetts Institute of Technology |
Caleb Jonker | University of Toronto |
Camilo Angulo | Universidade Federal Fluminense |
Ethan Ross | University of Toronto |
Filip Moucka | Czech Technical University in Prague |
Hadi Nahari | Claude Bernard University Lyon 1 |
Haiping Yang | Imperial College London |
Karandeep Singh | Katholieke Universiteit Leuven |
Marcos Orseli | University of Auckland |
Stephane Geudens | Max Planck Institute for Mathematics |
Martin Zika | Charles University in Prague |
Friso van Dijk | Radboud University Nijmegen |
Ioana Ciuclea | West University of Timisoara |
Lorenzo Sillari | International School for Advanced Studies |
Antonio Maglio | University of Salerno |
Ismael Ahlouche | University of Mons |
Vasiliki Liontou | University of Toronto |
Yucong Jiang | University of Toronto |
Anna Fokma | Utrecht University |
Juan José Villamarín Castro | University of Los Andes (Colombia) |
Carlos LEON | University of Poitiers |
Anastasis Fotiadis | Aristotle University of Thessaloniki |
Douwe Hoekstra | Radboud University Nijmegen |
Francisco Manuel Castela Simao | Queen Mary University of London |
Ning Jiang | University of Illinois at Urbana–Champaign |
Bas Wensink | Utrecht University |
Stefano Ronchi | University of Göttingen |
Ilias Ermeidis | University of Göttingen |
Gabriel Sevestre | Katholieke Universiteit Leuven |
Marcel Andre Leviller Guardo | Federal University of Rio de Janeiro |
Raju Roychowdhury | Dayalbagh Educational Institute, India |
Kaichuan QI | Katholieke Universiteit Leuven |
Ofir Karin | Tel Aviv University |
Dimitris Makris | Aristotle University of Thessaloniki |
Andreas Schüßler | Radboud University Nijmegen |
Luis Alejandro Barbosa Torres | University of São Paulo |
Davide Dal Martello | University of Birmingham |
Francesco Cattafi | Julius-Maximilian's University of Würzburg |
Wilmer Smilde | University of Illinois at Urbana–Champaign |
Nan Li | Shanghai Jiao Tong University |
Ana Mançur | IMPA |
clarice netto | IMPA |
Dan Agüero | Federal University of Rio de Janeiro |
Fabricio Valencia Quintero | University of São Paulo |
Jaime Pedregal Pastor | Utrecht University |
Paulina Pierzchala | AGH University of Science and Technology |
Oscar Cosserat | La Rochelle Université |
Luis Alvarez Consul | ICMAT |
carla puigmarti lopez | Universitat de Barcelona |
Francesco Bonechi | Istituto Nazionale di Fisica Nucleare, Firenze |
Chiara Esposito | University of Salerno |
Rui Loja Fernandes | University of Illinois at Urbana–Champaign |
Georgios Simantiras | Aristotle University of Thessaloniki |
Jan Pulmann | University of Edinburgh |
Chen-Wei Lin | Johns Hopkins University |
Aidan Lindberg | University of Toronto |
Muze Ren | University of Geneva |
Francis Bischoff | University of Oxford |
Zan Grad | University of Lisbon |
Mario García Fernández | Universidad Autónoma de Madrid |
Arpan Saha | ICMAT |
Andoni De Arriba De La Hera | ICMAT |
Roberto Téllez Domínguez | Instituto de Ciencias Matemáticas |
Raul Gonzalez Molina | ICMAT |
Frederic Barbaresco | THALES Research |
Cristina Hretcanu | Stefan cel Mare University |
David Fernández | Bielefeld University |
Carlos di Fiore | University of Buenos Aires |
Filippo Salis | Polytechnic University of Turin |
Misael Avendaño-Camacho | Universidad de Sonora |
Juan Desimoni | Fluminense Federal University |
Anton Alekseev | University of Geneva |
DeVon Ingram | University of Chicago |
Tom Sutherland | University of Vienna |
Panagiotis Batakidis | Aristotle University of Thessaloniki |
Irina Bobrova | HSE University, Moscow |
Leighton Arnold | University of Queensland |
Maram Alossaimi | University of Sheffield |
Daniel Beltita | Institute of Mathematics \"Simion Stoilow\" of the Romanian Academy |
Philipp Schmitt | University of Hanover |
Reyer Sjamaar | Cornell University |
Elise Raphael | University of Geneva |
Rafailia Persefoni Tsiavou | Aristotle University of Thessaloniki |
Pooja JOSHI | Washington University in St. Louis |
Iokasti Androutsou | Aristotle University of Thessaloniki |
Giannis Polychrou | Aristotle University of Thessaloniki |
Anastasios Slaftsos | Aristotle University of Thessaloniki |
Marco Zambon | Katholieke Universiteit Leuven |
Simon-Raphael Fischer | National Center for Theoretical Sciences |
Adara M. Blaga | West University of Timisoara |
yingdi qin | University of Pennsylvania |
Ahmadreza Khazaeipoul | University of Toronto |
Honglei Lang | China Agricultural University |
Xiaomeng Xu | Peking University |
Joao Nuno Mestre | University of Coimbra |
Joel Villatoro | Washington University in St. Louis |
Sylvain Lavau | Saint Petersburg State University |
Jordi Mullor Tenas | Centre de Recerca Matemàtica |
LIST OF PARTICIPANTS OF THE ADVANCED COURSE AND THE CONFERENCE
Name | Institution |
---|---|
Ana Mançur | IMPA |
Pacôme Van Overschelde | Université libre de Bruxelles |
Aline Leite Vilela D\\\'Oliveira | University of Illinois at Urbana–Champaign |
Alice Barbora Tumpach | University of Vienna |
Alfonso Giuseppe Tortorella | University of Porto |
Juan Diego Rojas Correa | Northwestern University |
Byunghee An | Kyungpook National University |
Milan Niestijl | Delft University of Technology |
David Baldomero Iglesias Ponte | Universidad de la Laguna |
Marta Farre Puiggali | University of Antwerp |
Alejandro Cabrera | Federal University of Rio de Janeiro |
Ioan Marcut | Radboud University Nijmegen |
Joao Nuno Mestre | University of Coimbra |
Jin Hong Kim | Chosun University |
Luka Zwaan | University of Illinois at Urbana–Champaign |
Florian Zeiser | University of Illinois at Urbana–Champaign |
Maxime Wagner | University of Lorraine |
Sambit Senapati | University of Illinois at Urbana–Champaign |
Joaquim Brugués | University of Antwerp |
Pau Mir | Universitat Politècnica de Catalunya |
Praphulla Kumar Koushik M C R | IISER Pune |
Robert Cardona | University of Strasbourg |
Ruben LOUIS | University of Lorraine |
Rui Loja Fernandes | University of Illinois at Urbana–Champaign |
Søren István Adorján Dyhr | Universitat Politècnica de Catalunya |
Cédric Oms | École normale supérieure de Lyon |
Alfonso Garmendia | Potsdam Uni |
Jonathan Weitsman | Northeastern University |
Acknowledgements
For inquiries about this event please contact the research programs coordinator Ms. Núria Hernández at nhernandez@crm.cat
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