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.

Showing results 1-20 of 36    < Prev    1 2    Next >
  •  

Media items

Coulomb branches of 3-dimensional N=4 gauge theories

   32 views

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

   51 views

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

   24 views

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

   22 views

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

   67 views

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

   44 views

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

   52 views

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

   21 views

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

   32 views

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

   50 views

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

   17 views

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

   21 views

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

   23 views

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

   36 views

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

   28 views

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

   17 views

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

   35 views

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

   27 views

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

   66 views

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

   8 views

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


[Results 1-20 of 36]    < Prev    1 2    Next >