Algebra and Topology Seminar

4pm Tuesday 10 May 2005
Finnur Larusson
University of Western Ontario

Abstract homotopy theory in complex analysis and geometry

Model categories, invented by Quillen, provide an abstract setting for developing analogues of the homotopy theory of topological spaces for various other sorts of objects. They have found important applications in algebra and algebraic geometry, for example in Voevodsky's homotopy theory of schemes. Recently, model structures have appeared in complex analysis and geometry and turned out to be relevant to the so-called Oka Principle. We will describe the underlying ideas and some of their applications (especially ones that have appeared since a talk on a similar topic at ANU in 2003!).




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