2015 Summer School on Moduli Problems in Symplectic Geometry
Marilyn and James Simons Conference Center
IHES
Organized as part of the IHÉS Lectures, this Summer School aims to provide PhD students, post-docs, and young researchers with an overview of recent developments in the theory of moduli spaces of pseudoholomorphic curves in symplectic and contact geometry.
Moduli spaces of pseudoholomorphic curves arise as the zero set of a Fredholm section of a suitable bundle. Provided this section can be appropriately perturbed, these moduli spaces yield powerful contact and symplectic invariants such as Gromov-Witten theory, contact homology, symplectic homology, and Symplectic Field Theory. Constructions and applications of these invariants will be addressed in detail during the workshop. There are two main perturbative techniques, geometric and functional analytic.
The geometric perturbation methods are powerful for applications and practical from a computational point of view but typically require many restrictive assumptions and fail to generalize broadly. We will introduce researchers to the polyfold machinery of Hofer, Wysocki, and Zehnder, a new analytic framework designed to resolve the issue of transversality systematically. As computations are integral in applications of the aforementioned invariants, we will also explore how geometric perturbation schemes can be incorporated into the polyfold package.
We will supplement 7 mini courses with moderated discussions and related talks by senior faculty on current and future directions for the field.
Confirmed speakers:
M. Abouzaid, Columbia University *
P. Biran, ETH Zürich
N. Bottman, Massachusetts Institute of Technology
F. Bourgeois, Université Paris-Sud Orsay
D. Cristofaro-Gardiner, Harvard University
T. Ekholm, Uppsala University *
Y. Eliashberg, Stanford
J. Fish, Institute for Advanced Study *
H. Hofer, Institute for Advanced Study *
M. Hutchings, UC Berkeley *
D. McDuff, Barnard College, Columbia University
J. Nelson, Columbia University and the Institute for Advanced Study
I. Smith, University of Cambridge
J. Solomon, Hebrew University
C. Viterbo, Ecole Normale Supérieure
K. Wehrheim, UC Berkeley *
C. Wendl, University College London *
* Mini course speakers
Organizing Committee
Chair: J. Nelson (Columbia University and the Institute for Advanced Study)
D. Cristofaro-Gardiner (Harvard University)
J. Fish (Institute for Advanced Study and UMass Boston)
Scientific Advisory Committee
H. Hofer (Institute for Advanced Study)
M. Hutchings (UC Berkeley)
D. McDuff (Barnard College, Columbia University)
With the support of La Société Générale
Agustin Moreno
Ailsa Keating
Alessia Mandini
Alexander Fauck
Alexandra Kjuchukova
Alexandre Perrier
Alvaro del Pino
Amiel PEIFFER-SMADJA
Amit Solomon
Ana Pires
Andrew Hanlon
Andrew Lee
Ashraf Owis
Bahar ACU
Benjamin Filippenko
Berit Singer
Brian Tervil
Carolina Lemos de Oliveira
Carsten Haug
Catherine Cannizzo
Cecilia Karlsson
Chris Gerig
Christopher Policastro
Cédric De Groote
Daniel Alvarez-Gavela
David Tourigny
Douglas Schultz
durand philippe
Egor Shelukhin
Emily Campling
Felix Hensel
Felix Schmäschke
Francois Charette
Gabriele Benedetti
Guillem Cazassus
Hassan Jolany
Hatice ÇOBAN
Henrique Sá Earp
Honghao Gao
Hui Li
HYUNJOO CHO
Jacob Rooney
Jacqueline Espina
Jagna Wisniewska
Jaime Bustillo
Jan-David Salchow
Jian Wang
Jingyu Zhao
Joey van der Leer Duran
Jovana Duretic
Juan Ojeda
Juan Ángel Rojo
Jungsoo Kang
Keon Choi
Kyler Siegel
Laura Hayward
Laura Starkston
Lorenzo Rigolli
Lucas Dahinden
Luis Diogo
Luis E. Portilla P.
Marcelo Ribeiro de Resende Alves
Matthew Bernard
Michael Khanevsky
Milena Pabiniak
Mohammed Abdelmalek
Momchil Konstantinov
Morgan Weiler
Murat Saglam
My Huynh
Nathaniel Bottman
Nena-Maria Röttgen
Nil Sirikci
Oldrich Spacil
Oleg Lazarev
Osman Okutan
Pavel Giterman
Pedro Salomao
Peter Uebele
Ralph Klaasse
Rebecca Glover
Robert Castellano
Robert Magnus
Roberta Guadagni
Rogerio Fernandez
Roman Golovko
Saraswathi Venkatesh
Sebastian Pöder
Sherry Gong
Smail CHEMIKH
Stephan Mescher
Sven Prüfer
Thomas Naugle
Tobias Sodoge
Umut Varolgunes
Urs Fuchs
Viktor Fromm
Vincent Humiliere
Vincent Létourneau
Vinicius Ramos
Vukašin Stojisavljević
Wolfgang Schmaltz
Xin Jin
Yeongjin Bae
Yesim Demiroglu
Young-Chan Kang
Zhengyi Zhou
Ziva Myer
