Metric and Analytic Aspects of Moduli Spaces
| Created: | 2015-07-29 16:24 |
|---|---|
| Institution: | Isaac Newton Institute for Mathematical Sciences |
| Description: | The term moduli space has its origins in the classification of conformal structures on two-dimensional surfaces. Closed surfaces are classified topologically by their genus, but for fixed genus, the set of inequivalent conformal structures is essentially a smooth finite- dimensional manifold, a first example of a moduli space.
In more recent times, many other instances of mathematical structures of this type have come to light, above all in gauge theory. They have had, and continue to have, a major impact in modern geometry, topology and mathematical physics. Working with moduli spaces is subtle. First of all, they are implicitly defined (typically) as equivalence classes of solutions to some nonlinear partial differential equations. Second, they are almost invariably non-compact and/or singular, and one of the challenges is to understand them asymptotically and/or near the singularities. The goal of the programme is to explore moduli spaces from the metric and analytical points of view. We shall survey the current state of the art with a focus on four themes: 4-dimensional hyperKaehler manifolds; compactification of moduli spaces; analysis on moduli spaces; new constructions and challenges. There will be a 5-day workshop during the second week of the programme. |
Media items
This collection contains 36 media items.
Media items
Coulomb branches of 3-dimensional N=4 gauge theories
Nakajima, H (Kyoto University)
Wednesday 29 July 2015, 10:00-11:00
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 4 Aug 2015
Hyperkähler toy models
Hausel, T (EPFL - Ecole Polytechnique Fédérale de Lausanne)
Thursday 30 July 2015, 09:00-10:00
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 4 Aug 2015
Perverse sheaves on compactifications of locally symmetric spaces
Saper, LD (Duke University)
Tuesday 28 July 2015, 16:00-17:00
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 31 Jul 2015
Quantization of integrable systems of periodic monopoles
Pestun, V (IHES)
Thursday 30 July 2015, 10:00-11:00
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 4 Aug 2015
A construction of limiting solutions of Hitchin's equations
Fredrickson, L (University of Texas at Austin)
Wednesday 05 August 2015, 11:00-12:00
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 11 Aug 2015
ALG and ALH spaces
Hein, H-J (University of Maryland)
Monday 20 July 2015, 16:00-17:00
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 30 Jul 2015
ALG and the SU(∞) Toda equation
Hitchin, N (University of Oxford)
Wednesday 29 July 2015, 11:30-12:30
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Wed 5 Aug 2015
An analytic construction of dihedral ALF gravitational instantons
Auvray, H (Université Paris-Sud)
Monday 27 July 2015, 11:30-12:30
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 31 Jul 2015
Analysis on singular spaces
Albin, P (University of Illinois at Urbana-Champaign)
Wednesday 22 July 2015, 11:00-12:30
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 30 Jul 2015
Asymptotically Conic Calabi-Yau Manifolds
Conlon, R (UQAM - Université du Québec à Montréal)
Wednesday 12 August 2015, 15:30-16:30
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 14 Aug 2015
Asymptotics and compactification of monopole moduli space
Bielawski, R (Leibniz Universität Hannover)
Wednesday 29 July 2015, 09:00-10:00
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 4 Aug 2015
Asymptotics of hyperboilic, Weil-Peterssen and Takhtajan-Zograf metrics
Melrose, R (Massachusetts Institute of Technology)
Tuesday 28 July 2015, 11:30-12:30
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 31 Jul 2015
Coulomb Branch and the Moduli Space of Instantons
Hanany, A (Imperial College London)
Friday 31 July 2015, 11:30-12:30
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 4 Aug 2015
Decay and Moduli of Yang Mills Instantons
Stern, M (Duke University)
Tuesday 21 July 2015, 15:30-16:30
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 30 Jul 2015
Folded hyperKähler metrics
Biquard, O (École Normale Supérieure)
Monday 27 July 2015, 10:00-11:00
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Thu 30 Jul 2015
Higgs bundles, spectral data, and fiber products of curves
Bradlow, S (University of Illinois)
Tuesday 04 August 2015, 11:00-12:00
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 11 Aug 2015
HyperKaehler metrics with circle action
Swann, A (Aarhus Universitet)
Wednesday 12 August 2015, 14:00-15:00
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 14 Aug 2015
Kähler metrics and Chern forms on the moduli space of punctured Riemann surfaces
Takhtajan, LA (Stony Brook University)
Monday 27 July 2015, 16:00-17:00
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 31 Jul 2015
Mass in Kaehler Geometry
LeBrun, C (Stony Brook University)
Friday 31 July 2015, 10:00-11:00
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Tue 4 Aug 2015
Moduli space of periodic monopoles and Hitchin equations on a cylinder
Maldonado, R (University of Cambridge)
Tuesday 11 August 2015, 14:00-15:00
Collection: Metric and Analytic Aspects of Moduli Spaces
Institution: Isaac Newton Institute for Mathematical Sciences
Created: Fri 14 Aug 2015