Topics in Conformal Geometry and Geometry Analysis
Sign into June 28, 2013
Objectives
This week of minicourses is aimed at presenting to students (and to anyone interested) the main topics of the research program Conformal geometry and geometric PDEs, and serves as an introduction to the following conference.
Conformal geometry is the study of the set of angle-preserving (conformal) transformations on a space. While in two dimensions, this is precisely the geometry of Riemann surfaces, in dimensions three and above the answer opens up many new different subjects (in PDEs, Physics, CR geometry and many others), leading to the very wide field that is conformal geometry. Geometric Analysis constitutes a central branch in Partial Differential Equations, that includes the study of non-linear or non-local equations.
One of the classical topics in Geometric Analysis is the study of variational problems related to the area functional. In this sense, the global theory of minimal and constant mean curvature surfaces in homogeneous three-manifolds, and more generally in Riemannian and sub-Riemannian manifolds, represents today a tremendously active field of new discoveries and challenges. Applications of minimal surfaces to other subjects include low dimensional topology, general relativity and materials science.
While the field seems to be very wide, it is precisely the interaction between all these topics that nurtures the development of such a fundamental branch of mathematics that is Geometrical analysis.
The lecturers are top researchers in the area and have been chosen by their willingness to give an introductory course.
Organizing and Scientific Committee
Maria del Mar González, Universitat Politècnica de Catalunya
Robin Graham, University of Washington
Francisco Martín, Universidad de Granada
Paul Yang, Princeton University
List of Speakers
LIST OF PARTICIPANTS
A. Rod Gover
Ali Maalaoui
Alice Chang
Andreas Juhl, Uppsala Universitet
Andreas Juhl, Humboldt Universität zu Berlin
Antonio Ache, Princeton University
Azahara de la Torre Pedraza, Universitat Politècnica de Catalunya
Bo XIA, Université Paris-Sud
Charles Fefferman, Princeton University
Christian Murray, University of Cape Town
Daniel Sánchez Taltavull, Centre de Recerca Matemàtica
Dung Nguyen Thac
Gabjin Yun, Myongji University
Guglielmo Albanese , Università degli studi di Milano
hassan jaber, Institut Élie Cartan
Heiko Gimperlein
Ilaria Mondello, Université de Nantes
Janine Bachrachas, Peterburg McGill University
Janine Bachrachas
Javier Saenz Casas, Centro de investigación en Matemáticas de México
Jeffrey Case, Princeton University
Jesús Pérez García
Jie Qing , University of California at Santa Cruz
Jih-Hsin Cheng, Institute of Mathematics – Academia Sinica
Jingyang Zhong, University of California at Santa Cruz
Joaquin Pérez, Universidad de Granada
Jose Luis Teruel Carretero, Universidad de Granada
Kengo Hirachi , The University of Tokyo
Kostiantyn Drach
Laurent Hauswirth, Université Paris-Est Marne-la-Vallée
Luca Martinazzi, Rutgers University
Luis Guijarro Santamaria, Universidad Autónoma de Madrid
Luis López Rios, Universidad de Chile
Marcin Styborski
Maria del Mar González, Universitat Politècnica de Catalunya
Matteo Cozzi
Matthew Gursky, University of Notre Dame
Mircea Petrache , ETH Zürich
Murray Christian, University of Cape Town
Nguyen Thac Dung National, Tsing Hua University
Nick Reichert, Princeton University
Niels Martin, Princeton University
Nobuhiko Otoba
Patrick Munroe
Paul Yang
Raul Quiroga Barranco , Centro de investigación en Matemáticas de México
Ray Yang Couran, t Institute of Mathematical Sciences
Ridha Yacoub
Robert Kusner, University of Massachusetts at Amherst
Robin Graham
Rod Gover, University of Auckland
Saikat Mazumdar, Institut Élie Cartan
Sameerah Jamal, University of the Witwatersrand
Seongtag Kim, Inha University
Seungsu Hwang
Spyros Alexakis, University of Toronto
Stephen McKeown, University of Washington
Taiji Marugame,
Vicent Gimeno Garcia, University Jaume I
Wang Yi, Standford University
William Meeks III, University of Massachusetts at Amherst
Xia Bo, Université Paris-Sud
Xue Hu, The Chinese Academy of Sciences
Yoshihiko Matsumoto, The University of Tokyo
Yuxim Ge, Université Paris Est Créteil
Zisis Sakellaris
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 comptabilitat@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.
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 comptabilitat@crm.cat providing the internal reference number given by your institution and the code of the Project covering the registration (if necessary).
LODGING INFORMATION
ON-CAMPUS AND BELLATERRA
BARCELONA AND OFF-CAMPUS
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For inquiries about this event please contact the Scientific Events Coordinator Ms. Núria Hernández at nhernandez@crm.cat
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