## Emmy Noether Seminar in Pure and Applied Mathematics

We met each week at 4pm on Wednesday for approximately one hour, usually in SCI 3.05.

Thanks to everyone who attended, and especially to everyone who gave talks.

### 2017/18 Academic Year:

Autumn 2017:

4 Oct 4pm, SCI 3.05 Joseph Grant, "Galilean spacetime"
11 Oct 4pm, SCI 3.05 Joseph Grant, "Galilean transformations and Newtonian determinacy"
18 Oct 4pm, SCI 3.05 Shaun Stevens, "Examples of mechanical systems"
25 Oct 4pm, SCI 3.05 Joseph Grant, "The phase plane for 1-dimensional systems"

We will use the book:

- V. I. Arnold,
*Mathematical Methods of Classical Mechanics*

### 2016/17 Academic Year:

Spring 2017:

1 Feb 4pm, SCI 3.05 Mark Cooker, "The brachistochrone problem, or how to fall down the quickest way"
8 Feb 4pm, SCI 3.05 Robert Whittaker, "The Heat Equation"
15 Feb 4pm, SCI 3.05 Mark Blyth, "Surface evolution equations: derivation and applications"
22 Feb * school board * (no seminar)
1 Mar * Do Something Different week * (no seminar)
8 Mar 4pm, SCI 3.05 Joseph Grant, "Vector fields, hairy balls, and hairy doughnuts"
15 Mar 4pm, SCI 3.05 Joseph Grant, "The index of an isolated zero"
22 Mar 4pm, SCI 3.05 (no seminar)
* Easter break *
26 Apr 4pm, SCI 3.05 Mark Cooker, "The brachistochrone problem, or how to fall down the quickest way (part 2)".
3 May 4pm, SCI 3.05 Gabriele Bocca, "An introduction to the language of differential forms"

Autumn 2016:

5 Oct 4pm, SCI 0.31 Joseph Grant, "What is a manifold?"
12 Oct 4pm, EFry 01.10 Joseph Grant, "What is a manifold? (part 2)"
19 Oct 4pm, SCI 0.31 Paul Hammerton, "Multivariable calculus"
26 Oct 4pm, SCI 3.05 Joseph Grant, "Tangent spaces"
2 Nov * school board * (no seminar)
9 Nov 4pm, SCI 0.31 Jonathan Kirby, "Maps between manifolds"
16 Nov 4pm, EFry 01.08 Jonathan Kirby, "Differentiating maps between manifolds"
23 Nov 4pm, SCI 0.31 Shaun Stevens, "Lie groups"
30 Nov 4pm, EFry 01.08 Joseph Grant, "Tangent vectors to Lie groups"
7 Dec 4pm, SCI 0.31 Vanessa Miemietz, "The Lie bracket on vector fields"
14 Dec 4pm, SCI 0.31 Johannes Siemons, "Emmy Noether's theorem on Conserved Quantities"

Some books that are relevant are:

- T. Frankel,
*The Geometry of Physics*
- P. Olver,
*Applications of Lie Groups to Differential Equations*
- L. Tu,
*An Introduction to Manifolds*
- R. Penrose,
*The Road to Reality*