# Counting surfaces: A mixed bag of combinatorics, geometry, and physics

**Presenter:** Norm Do, Monash

Given some polygons, how many ways can you glue their edges together to create a particular surface? This enumeration is governed by two simple objects --- a "spectral curve" and a "quantum curve" --- that are related by a mysterious process called "quantisation". We will discuss exactly what this means and why it is mysterious, before observing the same structure in seemingly unrelated problems that involve permutations, knots and more. The talk will be G-rated, in the sense that almost no prerequisites are required!

### About Maths Colloquium

The Mathematics Colloquium is directed at students and academics working in the fields of pure and applied mathematics, and statistics.

We aim to present expository lectures that appeal to our wide audience.

Information for speakers

#### Information for speakers

Maths colloquia are usually held on Mondays, from 2pm to 3pm, in various locations at St Lucia.

Presentations are 50 minutes, plus five minutes for questions and discussion.

Available facilities include:

- computer
- data projector
- chalkboard or whiteboard

To avoid technical difficulties on the day, please contact us in advance of your presentation to discuss your requirements.