Workshop on Stacks in Geometry and Topology

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The theory of stacks is the study of symmetries of geometric objects and, assuch, has wide impact throughout mathematics: it is a central theme incurrent work in algebraic geometry, algebraic topology, number theory,analytic and differential geometry, and mathematical physics. Indeed, thetheory has proved flexible enough to apply to any field of mathematics wereit is important to study symmetries across continuous families of geometricobjects, especially when the groups of self-symmetries can varynon-continuously throughout the family. This workshop, to be held at theFields Institute in Toronto, will bring together leading researchers,postdoctoral mathematicians, and graduate students from fields which applythe theory of stacks; the intent is to discuss recent advances, and toexplore and stimulate potentially important new areas of applications. Themain speakers will address current problems in chromatic stable homotopytheory, orbifolds, mathematical physics, geometry in various forms, and theemerging field of derived algebraic geometry. Researchers who have agreed toparticipate include Mark Behrens (MIT), Ian Grojnowksi (Cambridge), JacobLurie (Harvard), Gabriele Vezzosi (Firenze), and Angelo Vistolli (ScuolaNormale Superiore). In addition, Mike Hopkins (Harvard) will give a seriesof lectures concurrently with this workshop.The workshop will be the central event of a two-month subprogramentitled ``Stacks in geometry and topology'', within the thematic program``Geometric applications of homotopy theory''. The full program will runfrom January through June of 2007 at the Fields Institute. Beyond theworkshop, there a directly related mini-courses by Paul Goerss(Northwestern), Ezra Getzler (Northwestern), and Jacob Lurie (Harvard).The workshop and the mini-courses will pursue the theory of stacksacross a diverse fields of mathematics where this theory has been applied,and an important goal of this whole program is to foster cross-disciplinaryinteraction.