Graduate Student Advisory Committee (GSAC) Colloquium

Graduate Colloquium

Fall 2018
Tuesdays, 4:35–5:35 PM, JWB 335
Math 6960–001
(credit hours available!)

GSAC Home | Past Graduate Colloquia
Aug 21

Organizational meeting

Aug 28

Hilbert's syzygy theorem

Janina Letz

In a module over a ring the generators do not have to be independent. We'll look at the relations of these generators and the relations of the relations, called syzygies. Over a hundred years Hilbert proved, that this process stops after n steps over a polynomial ring in n variables.

Sep 4

Magic Squares

Jenny Kenkel

The legend goes that an ancient land was being ruined by floods, and no sacrifices to the river god could stop the flooding. After each flood, a giant turtle would lumber onto land, examine the sacrifices, and slip back into the river, displeased. It was not until a child noticed the dots on the turtle's back that the people could stop the flooding; the turtle had a three by three grid of numbers, with the sum of each row equal and equal to the sum of each column. In this talk we will discuss magic squares, on and off turtles, and try to count the number of n by n squares with row sum k.

Sep 11

Specht modules for the symmetric group

Sabine Lang

The symmetric group over n elements is the set of permutations of these n elements. This seems pretty simple, but this group has n! elements, and its elements do not commute for n >2. A way to better understand a group G is to study its representations (or G-modules). In this talk, we'll construct all the building blocks (irreducible G-modules) for the symmetric group, using tables filled with integers.

Sep 18

What's an elliptic curve and why should I care?

Dan Smolkin

Elliptic curves are among the most interesting and well-studied objects in all of mathematics. I will explain how elliptic curves can be used to solve problems ranging from ancient Greece to modern cryptography.

Sep 25

Tuning: It's easy as 41, 72, 53 or simple as do-re-mi

Allechar Serrano Lopez

Let's start at the very beginning, a very good place to start. When you read, you begin with A-B-C. When you sing, you begin with do-re-mi. When you are designing a good tuning system, you begin by computing 5, 7, 12, 19, 22, 31, 41, 53, and 72 in several ways. In this talk, I will discuss the connection between number theory and algebra in musical tuning systems.

Oct 2

Prem Narayanan

Oct 16

Peter McDonald

Oct 23

Jose Yanez

Oct 30

Jake Madrid

Nov 6

AWM professor panel

Nov 13

Amanda Alexander

Nov 20

Kees McGahan

Nov 27

Mitchell Meyer

Dec 4

AWM speaker