# MAT 2000 Project Proposal

## Brave New Rings (with John Rognes)

For applications to geometry and topology it is often necessary to
work with a generalized notion of a ring, called a structured ring
spectrum or a brave new ring. One project is to learn one of the modern
definitions of this notion and to construct in full detail some of the
most interesting examples, such as the sphere spectrum, bordism spectra
and the new form of ordinary rings. Then one may go on to prove some of
their basic properties. Such a project will provide an excellent basis
for a Master's degree in algebraic topology. Prerequisites: knowing
what a ring, a vector space and a topological space are. Some references:

A survey talk by John Rognes:

http://folk.uio.no/rognes/papers/vnr.dvi

An untitled book project by Stefan Schwede:

http://www.math.uni-bonn.de/people/schwede/SymSpec.pdf

Proceedings from an Oberwolfach workshop:

http://folk.uio.no/rognes/papers/oag2005.pdf