All events are in Central time unless specified.

Alex Zupan, University of Nebraska

Visualizing knotted surfaces in dimension four

4:00 pm – 4:50 pm
Avery Hall Room: 115
1144 T St
Lincoln NE 68508
Additional Info: AVH
Jack Jeffries
Classical knot theory considers embedded loops in 3-dimensional space up to smooth deformations that don’t bend or break the loop. In dimension four, the interesting knotted objects are not loops (which are 1-dimensional) but rather surfaces (which are 2-dimensional). Being 3-dimensional beings ourselves, “seeing” knotted surfaces can be a challenging task. In this talk, we’ll discuss various ways to draw knotted surfaces (or ways to draw enough data to recover knotted surfaces), and we’ll look at some recent results of myself and collaborators that transfer well-understood ideas from dimension three into dimension four.

Download this event to my calendar