LisMath Seminar 

21/11/2018, 17:00 — 18:00 — Room P9, Mathematics Building
Augusto Pereira, LisMath, Instituto Superior Técnico

The twistor correspondence and the ADHM construction on $S^4$

We shall give a brief overview of Yang-Mills theory, discussing some of its applications to other areas of geometry. We then focus on the construction of holomorphic bundles corresponding, via the twistor transform, to instanton solutions of the Yang-Mills equation.

Bibliography:

[1] M. F. Atiyah, N. J. Hitchin, I. M. Singer - Self-duality in four-dimensional Riemannian geometry (1978)

[2] R. S. Ward, R. O. Wells Jr. - Twistor Geometry and Field Theory (1991)

[3] M. F. Atiyah - Geometry of Yang-Mills Fields (1979)

[4] N. J. Hitchin - Linear field equations on self-dual spaces (1980)

See also

LisMath_talk_augusto_pereira.pdf