Isaac Newton Institute for Mathematical Sciences

Singularity Theory

July to December 2000

Organisers: VI Arnold (Moscow and Parix IX), JW Bruce (Liverpool), V Goryunov (Liverpool), D Siersma (Utrecht)

Singularity Theory
July to December 2000

Organisers: VI Arnold (Moscow and Paris IX), JW Bruce (Liverpool), D Siersma (Utrecht)

Two of the simplest singularities, the crosscap and swallowtail. The former arises, for example, in projections of surfaces in higher dimensions to 3-space, in families of projections of a space curve to a plane, and in boundaries of solution sets to certain differential equations. The latter in duals of smooth surfaces, families of plane wavefronts and caustics in 3-space. Their occurence in a wide range of applications is typical.

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