## String Theory and Mathematics Workshop

A hands-on exploration of the way ideas from theoretical physics, especially string theory, find their expression within pure mathematics.## Summer Institute for Mathematics at the University of Washington

## Charles Doran, Ursula Whitcher, and Arthur Popa

## Summer 2005

The Summer Institute for Mathematics at the University of Washington, also known as SIMUW, is a six-week residential program for mathematically talented high school students. This page collects the materials from a one-day SIMUW workshop on string theory and reflexive polyhedra.

## Morning Session: The Shape of Spacetime

- Introduction: Physics as a source of mathematical examples
- Spacetime
- Special Relativity Worksheet
- Curved Spacetime and Topology
- Curvature
- Worksheet
- Worksheet Notes
## Afternoon Session: Strings and Polytopes

- How can we describe the spaces strings live in?
- Reflexive polygons
- Activity: find reflexive polygons
- Are there infinite families of reflexive polygons?
- Mirror pairs
- Putting it all together: polytopes and string theory

Charles Doran, Ursula Whitcher, and Arthur Popa

Summer 2005