American Mathematical Society

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Metric and Analytic Aspects of Moduli Spaces

Month: July 2015

Date: July 20--August 14

Name: Metric and Analytic Aspects of Moduli Spaces

Location: Isaac Newton Institute for Mathematical Sciences, Cambridge, United Kingdom.


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 continue to have, a major impact in modern geometry, topology and mathematical physics.

Goal

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. For full details please see http://www.newton.ac.uk/events.html.

Information

http://www.newton.ac.uk/programmes/MAM/.