Event Type:

Department Colloquium

Date/Time:

Monday, February 7, 2011 - 08:00

Location:

Kidder 350

Guest Speaker:

Institution:

University of California, Berkeley

Abstract:

By subdividing into simple combinatorial pieces, one can

calculate topological and geometric features of a complicated space.

Simplicial complexes, and more generally cell complexes, are used

extensively throughout mathematics both for visualization and to aid in

computation. We present a few examples where assigning a natural cell

structure to a space sheds light on its shape. While these examples

originate in diverse areas ranging from algebraic geometry to computational

biology, the fundamental theme remains the same--to identify important

features through the combinatorics and topology of an appropriate

polyhedral cell structure.