3/1 – Angelica Simonetti – Braid groups: from algebra to geometry

This Wednesday, 3/1, please join us in LGRT 1528 from 5 to 6 pm for Math club. We will hear a talk from Angelica Simonetti on braid groups, with pizza and soda provided. Here’s Angelica’s abstract:

Braid groups: from algebra to geometry

“Who has never seen a girl with her hair gathered in a braid? Braid groups are a perfect example of how mathematics can be deep, rich, even complicated and yet intuitive at the same time. In the talk we are going to present braid groups algebraically and show some of their geometric interpretations, including how they appear in the theory of mapping class groups.”

2/22: GaYee Park – Billiards on square-tiled surfaces

This Wednesday, 2/22, GaYee Park will give a Math Club talk about billiards on square-tiled surfaces. We meet as usual in LGRT 1528 from 5-6 pm, with pizza and soda provided. Here’s GaYee’s abstract:

Billiards on square-tiled surfaces:

If we shoot a ball from a point at a 45-degree angle on any flat bounded
surface, how does its path look like? Will the path return to its original
point? How long is each path? We already know for an n x m rectangular
surface, many properties of the path depend on the gcd (n,m) and lcm (n,m). We extend this question to other surfaces such as the Möbius strip, cylinder, Klein bottle, and others.

2/15: John Lee – Understanding Chaos

Math Club meets this Wednesday this week from 5:00-6:00 pm in LGRT 1528, where we’ll hear a talk from graduate student John Lee called “Understanding Chaos”. Pizza and soda will be provided. Here’s John’s abstract:

Understanding Chaos.

Some questions that you might ask yourself on a daily
basis are “What is the weather going to be like tomorrow?” or “If I leave
for class at 9:00, what time do I expect to get to there?”

Humans often have this desire to predict the future, realistically or not.
In this talk, we’ll discuss briefly, easy to predict events and some not
so easy to predict events. In particular we’ll introduce ideas needed to
understand chaos and what it means to be Dynamically Chaotic with some
real world examples.

2/8: Sean Hart – Voronoi Tessellation

Math club this week will meet Wednesday, 2/8 at 5 pm in LGRT 1528 to hear Sean Hart talk about the Voronoi tessellation. There will be pizza and soda, of course. Here’s Sean’s abstract:

The Voronoi tessellation is an oft rediscovered way of naturally
partitioning a space with certain distinguished points, called generators,
into smaller cells, with each cell corresponding to the region of space
closest to a particular generator. In this talk, we will define and
discuss some of the basic properties of the Voronoi tessellation, as well
as some generalizations and historical applications. We will also talk
briefly about a particular dynamical system one can define using the
Voronoi tessellation, and some of its properties.