## Descent algebras, and fields of finite characteristic.

**Stephanie van Willigenburg**

(York University)

For each Coxeter group we can partition up the group elements in a certain
way, and form a formal sum from the elements. These formal sums form the
basis of what is known as a descent algebra. Much study has gone into these
algebras over a field of characteristic 0, but little has been done over
a field of finite characteristic. My research has attempted to formulate
some results in this area, and in this talk I shall discuss what has been
found so far, both for certain Coxeter group families, such as the symmetric
groups, and in general.