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Much of Singularity Theory was inspired by geometrical problems. Thom’s early work on differential geometry via families of functions has borne enormous fruit in a richer understanding of the higher geometry of surfaces, and this in turn has found application in other fields such as computer vision. Projections of surfaces to planes, giving apparent contours, and the general theories of caustics and wavefronts, are other examples where new techniques were motivated by geometrical problems. Remarkable duality connections have been found between some of these problems, and there are applications to algebraic geometry and other fields of mathematics.
This workshop will take as its theme interactions between singularity theory and geometry in its many modern guises. Besides the topics mentioned above one could mention Gauss mappings, the geometry of discriminants and bifurcation diagrams, coadjoint orbits, billiards, arrangements and the global geometry of singular waves and varieties.
Updates of the progamme will be posted at: http://www.liv.ac.uk/~pjgiblin/SingularitiesDec00/Programme.htm
The Workshop is sponsored by grants from the London Mathematical Society and from the Newton Institute. It is hoped that these grants will cover all local expenses of participants (from dinner Saturday through to lunch Thursday). Participants are expected to obtain travel expenses from elsewhere. Application is particularly welcomed from research students. The workshop will be limited to about 40 participants.
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