Complexity:Knots,ColouringsandCountings(LondonMathematicalSocietyLectureNoteSeries)

Thefieldofgeometricvariationalproblemsisfast-movingandinfluential.Theseproblemsinteractwithmanyotherareasofmathematicsandhavestrongrelevancetothestudyofintegrablesystems,mathematicalphysicsandPDEs.Theworkshop'VariationalProblemsinDifferentialGeometry'heldin2009attheUniversityofLeedsbroughttogetherinternationallyrespectedresearchersfrommanydifferentareasofthefield.Topicsdiscussedincludedrecentdevelopmentsinharmonicmapsandmorphisms,minimalandCMCsurfaces,extremalK?hlermetrics,theYamabefunctional,HamiltonianvariationalproblemsandtopicsrelatedtogaugetheoryandtotheRicciflow.Thesearticlesreflectthewholespectrumofthesubjectandcovernotonlycurrentresults,butalsothevariedmethodsandtechniquesusedinattackingvariationalproblems.Withamixoforiginalandexpositorypapers,thisvolumeformsavaluablereferenceformoreexperiencedresearchersandanidealintroductionforgraduatestudentsandpostdoctoralresearchers.