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# Benoit Charbonneau : Instantons and reduction of order via the Nahm transform

The instanton equations appear in gauge theory and generalize both the Maxwell equations and the harmonic equation. Their study has been and continues to be a very fertile ground for interactions between physicists and mathematicians. The object of this talk is a description of instanton solutions on S^1xR^3 due to Hurtubise and myself using the Nahm transform, a non-linear transformation that takes a system of PDE and produces a system of ODE or even a system of algebraic equations. This description allows us to answer existence questions for calorons.

**Category**: Graduate/Faculty Seminar**Duration**: 01:34:05**Date**: October 24, 2008 at 4:25 PM**Views**: 152-
**Tags:**seminar, Graduate/faculty Seminar

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