## Event Date:

## Event Location:

- 6635 South Hall

## Event Price:

Free

- Geometry
- Topology
- and Physics Seminar

Conformal field theories in dimensions above four are rather exotic

objects, and it is only with the help of string theory (and its cousins)

that examples were constructed starting in the 1990's. All known

examples are supersymmetric.

In the past two years, there has been rather dramatic progress in

classifying these theories in six dimensions (with minimal supersymmetry).

The classification results at present concern a class of these theories

whose construction and properties involve the algebraic geometry

of elliptic fibrations. (Many of the intermediate results can be

expressed purely in terms of quantum field theory, but some key steps

require the assumption of an algebo-geometric construction.)

I will introduce this subject to both mathematicians and physicists

in this lecture. I hope to give some followup lectures with additional

details later in the quarter (or in future quarters).