Event time:

Thursday, September 2, 2004 - 12:30pm to Wednesday, September 1, 2004 - 8:00pm

Location:

431 DL

Speaker:

Tim Riley

Speaker affiliation:

Yale

Event description:

The Cayley 2-complex is a simply connected space associated to a finite presentation of a group.

Filling functions capture aspects of the geometry of “fillingâ€ť discs spanning loops in this space, and are important group invariants. Many natural questions arise about the interrelationships between filling functions: for example, one might ask: given knowledge about the areas of fillings, what can be said about their diameters? I will survey some work, undertaken in collaborations with Bridson and Gersten, on such questions.

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