Event Detail

Event Type: 
Department Colloquium
Date/Time: 
Monday, February 7, 2011 - 08:00
Location: 
Kidder 350

Speaker Info

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.