Monopoles

Monopoles, moduli spaces and compactification

The seminar by Richard melrose (MIT)

schedule Date & time
Date/time
1 Nov 2024 12:00pm - 1 Nov 2024 1:00pm
person Speaker

Speakers

Richard Melrose (MIT)
contact_support Contact
Akrti Tyagi
Communications, Outreach and Engagement

Content navigation

Description

Abstract: The moduli space of magnetic monopoles of charge $k$ on $\bbR^3,$ for the gauge group $\SU(2),$ is a smooth, non-compact, hyperkaehler manifold of dimension $4k.$ To approach the Hodge theory (Sen conjecture) and other analytic properties of this space the asymptotic behaviour of the metric is described in terms of a compactification, introducing idealized monopole data. I will discuss how this in turn is closely related to asymptotic translations and quantization of configuration spaces. Based in part on joint work with Chris Kottke and Michael Singer.

Location

Seminar Room 1.33 

Mathematical Sciences Institute

ANU College of Science

Hanna Neumann Building #145, Science Road

The Australian National University

Canberra ACT 2600

-35.2753349, 149.1194845