Short Attention Span Math Seminars

Fall 2016

The Fall 2016 SASMS will be held on Thursday, November 24 at 5:00 in MC 5479. If you would like to give a talk, you may do so by clicking "Sign Up" above.

Talks

Time
Speaker
Talk Title
5:00
Taras Kolomatski
Invariant subspaces of the unilateral shift
5:30
Nam-Hwui Kim
On the existence of mathematical rigour in statistics.
6:00
Pizza Math Club
Dinner
6:30
Ilia Chtcherbakov
The arithmetical derivative
7:00
David Benjamin Urbanik
A Brief Survey of Quantum Physics
7:30
Felix Bauckholt
The Jordan Curve Theorem
8:00
Bryan Coutts
something something optimization
8:30
Wenyi Zheng
A proof of the existance of Haar Measure

Abstracts

Invariant subspaces of the unilateral shift

The space $l^2(\mathbb{N})$ is the space of square sumable sequences. There is an operator on this space that appends a zero entry in front of a sequence - a shift. The question is: what are the closed invariant subspaces of this simple operator? The answer is surprising and involves cute Fourier theory and complex analysis.

On the existence of mathematical rigour in statistics.

Statistics? Rigourous? Gasp, how could it be? Well, it turns out that statistics is also an area in mathematics. In this talk, I will attempt to expose the audience to some interesting areas in statistics in a non-STAT231 manner (aka. things will make a bit more sense). Tentative list of topics include: Mixture modelling; Bayesian statistics; Information geometry. The number and the depth of topics covered will be time-dependent.

Dinner

We will prove by example the formula for the area of a sector of a circle.

The arithmetical derivative

This is a talk that nobody remembers and that I didn't do proper justice to at the time. The setup went something like this... "All your friends, function spaces like $\mathbb C[t]$ and $C^\infty(\mathbb R)$, have really cool derivatives like $\frac{d}{dt}$, but you ($\mathbb Q$) can only afford a cheap knockoff $({-})'$ that isn't even additive! How could this ever be useful or interesting?"

A Brief Survey of Quantum Physics

In which I attempt to cover the entirety of a subject I know little about.

The Jordan Curve Theorem

I will (hopefully) be able to prove it.