Some new tight immersions of surfaces in three-space
November 11, 1998
Refreshments in the common room at 3:45.
Tightness is a geometric property related to convexity. Some surfaces can be immersed in space having this property and others can't. Which ones can, and of the ones that can, in how many different ways? The answer to the first contains an important surprising result: the answer is different for polyhedral surfaces than it is for smooth surfaces. The second question depends on what we mean by "different", and is not yet completely answered for either type of surface. In this talk, we will discuss the current state of the subject, and will analyze several recent examples of tight polyhedral surfaces.
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