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The Geometry, Topology and Physics of Moduli Spaces of Higgs Bundles
(7 July - 29 August 2014)
Other Funding Support · Organizing Committee · Visitors and Participants · Overview · Poster · Activities · Venue
With partial support from the National Science Foundation (GEAR) and the European Research Council.
Co-chairs
- Richard A. Wentworth (University of Maryland)
- Graeme Wilkin (National University of Singapore)
Members
- Luis Álvarez-Cónsul (ICMAT)
- Steven Bradlow (University of Illinois at Urbana-Champaign)
- Tomás Gómez (ICMAT)
- François Labourie (Université Paris-Sud)
- Kenji Ueno (Yokkaichi University)
The subject of this program is the moduli space of Higgs bundles and its connections with different areas of mathematics and physics. This space was first studied by Nigel Hitchin, who constructed the moduli space using gauge theory (as a dimensional reduction of the four-dimensional Yang-Mills equations). In Hitchin's words: "...the moduli space of all solutions turns out to be a manifold with an extremely rich geometric structure".
The goals of the program are:
- Bring together experts who study the geometry, topology and physics of Higgs bundles.
- Invite leading researchers to give talks on recent results and the latest developments in the field.
- Have experts give mini-courses explaining the background to their fields.
- Encourage collaborative work.
- Introduce graduate students and young researchers to the latest research and open problems in the field.
Summary of topics
- Higgs bundles, character varieties and non-abelian Hodge theory
- Asymptotic behaviour of the non-abelian Hodge theory
- Relations with wall-crossing phenomena in physics
We are planning for a two-week summer school and an associated one-week workshop, as well as a one-week conference with talks from leading researchers.
The activities at the IMS will be a continuation of the program “The geometry and physics of moduli spaces” at Instituto de Ciencias Matemáticas (ICMAT) in Madrid from 14 Apr - 11 Jul 2014.
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Summer School (7 - 18 Jul 2014)
- The first week will focus on the basic theory of the moduli space of Higgs bundles. There will be a short course on Higgs bundles and a short course on character varieties as well as introductory talks by experts.
- In the second week there will be short courses of a more advanced nature that will serve as an introduction to current research in the field.
Workshop on the Themes of the Summer School (21 - 31 Jul 2014)
Leading researchers will give talks on the current research in the field related to the themes of the summer school. There will also be space for talks by graduate students and postdocs.
Public Lecture
Date: |
Thursday, 7 August 2014 |
Venue: |
LT31, Block S16, |
06:30pm - 07:30pm |
Magic Pictures About Higgs Bundles |
Conference (4 - 8 Aug 2014)
The conference will consist of research talks on the latest developments relating to the moduli space of Higgs bundles. The conference has been accepted as a satellite conference to the International Congress of Mathematicians in Seoul, South Korea, which begins on Wednesday, 13 Aug 2014.
* Our office will be closed on these public holidays, 28 Jul 2014 - Hari Raya Puasa & 9 Aug 2014 - National Day.
Concentration Period on Geometric Aspects of Higgs bundles (11 - 27 Aug 2014)
Invited Speakers for Conference
- Jørgen Ellegaard Andersen (Aarhus University, Denmark)
- Vikraman Balaji (Chennai Mathematical Institute, India)
- Philip Boalch (École Normale Supérieure and CNRS, France)
- Ugo Bruzzo (Scuola Internazionale Superiore di Studi Avanzati, Italy)
- Tudor Dimofte (Institute for Advanced Study, USA)
- David Dumas (University of Illinois at Chicago, USA)
- Vladimir Fock (University of Strasbourg, France)
- Oscar García-Prada (Institute of Mathematical Sciences, ICMAT, Spain)
- Tamás Hausel (École Polytechnique Fédérale de Lausanne, Switzerland)
- Andriy Haydys (Universität Bielefeld, Germany)
- Jochen Heinloth (Universität Duisburg-Essen, Germany)
- Marcos Jardim (Universidade Estadual de Campinas, Brazil)
- Feng Luo (Rutgers University, USA)
- Takuro Mochizuki (Kyoto University, Japan)
- Swarnava Mukhopadhyay (University of Maryland, USA)
- Pavel Putrov (California Institute of Technology, USA)
- Sundararaman Ramanan (Chennai Mathematical Institute, India)
- Szilárd Szabó (Hungarian Academy of Sciences, Hungary)
- Misha Verbitsky (Higher School of Economics, Moscow)
- Frederik Witt (University of Münster, Germany)
- Xi Zhang (University of Science and Technology of China)
Students and researchers who are interested in attending these activities are requested to complete the online registration form.
The following do not need to register:
- Those invited to participate.
Other Funding Support · Organizing Committee · Visitors and Participants · Overview · Poster · Activities · Venue
