### Spring 2016

The Spring 2016 SASMS will be held on Tuesday, July 5 at 5:00 in MC 5501. If you would like to give a talk, you may do so by clicking "Sign Up" above.

### Talks

Time
Speaker
Talk Title
5:00
Bryan Coutts
Intro to Quantum Computing
5:30
David Benjamin Urbanik
Nuking Mosquitoes
6:00
Pure Math Club
Dinner
6:30
Ilia Chtcherbakov
Fusible Numbers
7:00
Taras Kolomatski
Stone-Weierstrass by Functional Analysis
7:30
Shelley Wu
The Robinson-Schensted-Knuth Correspondence
8:00
Linda Cook
Lenstra-Lenstra-Lovász Algorithm
8:30
Xinle Dai
What are modular forms?
9:00
Guo Xian Yau
Combinatorial Game Theory

### Abstracts

#### Nuking Mosquitoes

When all you have is a hammer, everything looks like your thumb.

#### Dinner

A hands-on investigation of monohedral disk tilings.

#### Fusible Numbers

An engineer recalls a lateral thinking puzzle he heard once, about measuring time with fuses, and tells it to his buddies, a physicist and a mathematician. The mathematician is stumped, but the physicist figures out the solution in like a minute. She gives a hint to the mathematician. After a moment's thought, his eyes suddenly widen and he scrambles to grab a piece of paper and something to write with, muttering something about order theory.

#### Stone-Weierstrass by Functional Analysis

Because proving it via the Weierstrass Approximation Theorem is sooooo PM351.

#### The Robinson-Schensted-Knuth Correspondence

In rep theory, the irreducible reps of $S_n$ are indexed by shapes with $n$ boxes. Moreover, the collection of a certain kind of labelling of those boxes, called Standard Young Tableaux, forms a basis of the irreducible reps. This gives rise to the identity $\sum_{\lambda \vdash n} f^{\lambda} = n!$. Originated from rep theory, this identity is combinatorially justified by the bijection between pairs of SYT, a combinatorial object, and permutations, established via the RSK correspondence.

#### Lenstra-Lenstra-Lovász Algorithm

A beautiful polynomial time algorithm for lattice basis reduction.

#### Combinatorial Game Theory

Some games are numbers, and some numbers are games. Given a game G, what does it mean for a game to be positive? Why do we care about representing numbers in terms of games? Come to the talk and you will see. (: If time permits I will talk about games that are NOT numbers, and how they are represented in modern geometry.