Week of Events
Applied Math Seminar — Almut Burchard (U. Toronto)
Applied Math Seminar — Almut Burchard (U. Toronto)
Title: What is the best shape? Geometric problems arising in aggregation models Abstract: How do pair interactions shape the large-scale behaviour of a cloud of particles (animals, social agents ...) ? In the most basic models, the shape of the cloud is determined by minimizing an attractive-repulsive interaction energy under suitable geometric constraints. When can […]
Beran’s tests of uniformity for discrete data (Michael Orrison, HMC)
Beran’s tests of uniformity for discrete data (Michael Orrison, HMC)
Suppose you are given a data set that can be viewed as a nonnegative integer-valued function defined on a finite set. A natural question to ask is whether the data can be viewed as a sample from the uniform distribution on the set, in which case you might want to apply some sort of test […]
On the Non-Orientable 4-Genus of Double Twist Knots, Part II: Lower Bounds (Jim Hoste, Pitzer College)
On the Non-Orientable 4-Genus of Double Twist Knots, Part II: Lower Bounds (Jim Hoste, Pitzer College)
The non-orientable 4-genus of a knot K is the smallest first Betti number of any non-orientable surface in the 4-ball spanning the knot. It is defined to be zero if the knot is slice. In joint work with Patrick Shanahan and Cornelia Van Cott, we attempt to determine the value of this invariant for double […]