## EVENT DETAILS AND ABSTRACT

**Algebra Seminar**
**Title:** Geometry of twistor spaces

**Speaker:** Professors J. Davidov and O.Mushkarov

**Speaker Info:** Bulgarian Academy of Sciences

**Brief Description:**

**Special Note**:

**Abstract:**

The Twistor theory has its origin in Mathematical Physics. Inspired by the
Penrose programme, Atiyah, Hitchin and Singer developed this theory on
4-dimensional Riemannian manifolds. The twsitor space of such a manifold $M$ is
the bundle $J(M)\to M$ of all complex structures on the tangent spaces of
$M$ compatible with the metric. The 6-manifold $J(M)$ admits two natural
almost complex structures, traditionally denoted by $J_1$ and $J_2$,
introduced, respectively, by Atiyah, Hitchin, Singer and Eells, Salamon.
This construction works also in higher dimensions and the almost complex
structures $J_1$ and $J_2$ have been studied in different aspects.
In this talk we shall give a survey of some recent results on the
geometry of twistor spaces in the following directions:
- Penrose transform and Ward correspondance. Applications.
- Harmonic maps into Riemannian manifolds and holomorphic curves in
twistor spaces.
- Hermitian geometry of twistor spaces.

**Date:** Tuesday, April 25, 2000

**Time:** 4:00pm

**Where:** Lunt 104

**Contact Person:** Prof. Ionut Ciocan-Fontanine

**Contact email:** ciocan@math.nwu.edu

**Contact Phone:** 847-467-1634

Copyright © 1997-2024
Department of Mathematics, Northwestern University.