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GEOMETRIC ANALYSIS Spitalfields Day Report A Spitalfields Day on Geometric Analysis was held on Monday 26 March 2007 at the Mathematics Institute of the University of Warwick, as the first day of a workshop on Geometric flows and related topics organised by Peter Topping (Warwick). Four excellent talks were delivered by leading mathematicians. The morning began with a talk by Gerhard Huisken of Max-Planck's Albert Einstein Institute in Golm, who has been one of the pioneers of geometric flows over the past 25 years. He spoke about Mean curvature type flows and isoperimetric inequalities and the impact that this field is having on General Relativity.
Afterwards, Rick Schoen (Stanford) – a second major figure in the build-up of geometric analysis over the past 30 years – described Recent progress on the high-dimensional Yamabe problem. The afternoon was devoted to Hamilton's Ricci flow programme for proving the Poincaré conjecture and, more generally, Thurston's geometrization conjecture. Bruce Kleiner (Yale) who has been a leading figure in the effort to piece together a complete argument for this programme gave An overview of Perelman's work on geometrization. After tea, Bill Minicozzi (Johns Hopkins) described his work with Toby Colding (Courant/MIT) on Width and finite extinction of Ricci flow which uses the theory of harmonic maps and minimal surfaces to give a short-cut in the proof of the Poincaré conjecture. The occasion was particularly poignant given the recent death of one of the founders of geometric flows, and long-time Warwick professor James Eells. After the talks, over a glass of wine, David Elworthy stood up and said a few words about Eells' colourful life. Peter Topping
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