Logo

Mathematical Sciences Research Institute

Home » Simple connectivity is complicated: an introduction to the Dehn function

Seminar

Simple connectivity is complicated: an introduction to the Dehn function September 26, 2011 (04:10PM PDT - 05:10PM PDT)
Location: UC Berkeley, 60 Evans Hall
Speaker(s) Robert Young
Description No Description

Video
No Video Uploaded
Abstract/Media

A lot of good math starts by taking an existence theorem and asking ``How many?'' or ``How big?'' or ``How fast''. The best-known example may be the Riemann hypothesis. Euclid proved that infinitely many primes exist, and the Riemann hypothesis describes how quickly they grow.

I'll discuss what happens when you apply the same idea to simple connectivity. In a simply-connected space, any closed curve is the boundary of some disc, but how big is that disc? And what can that tell you about the geometry of the space?

No Notes/Supplements Uploaded No Video Files Uploaded