When you're juggling at home or the office, it's natural to wonder how many different ways you can juggle. It turns out there's a mathematical approach to this. In this talk, we will focus primarily on simple juggling, which restricts the number of balls being thrown at a time. We will introduce notation that is used by both jugglers and mathematicians to describe juggling sequences, and then develop some tools for checking whether a sequence can be juggled and how to generate new juggling sequences. If time allows, we may venture deeper into the mathematics and connect juggling to the affine Weyl group and braids.
This talk should be extremely accessible since I only have a basic knowledge of the material being covered.
Obviously there will be juggling.
Mathematical Juggling
Feb. 14, 2018 5pm (Math 350)
MathClub
Jonathan Wise (CU Boulder)
X
A moduli space is a geometric space whose points have some intrinsic meaning. In this talk, we will examine the moduli space of plane curves to see how thinking about a space of all curves allows us to prove some interesting geometric theorems. We will also examine some moduli spaces from Euclidean geometry to get a sense of the peculiar geometry that can occur in moduli spaces.