Honouring Claude LeBrun's mathematical contributions, this conference aims to foster interaction among various topics of Differential Geometry, Geometric Analysis, and Mathematical Physics, centered around hot areas of current research. Specifically, the conference will explore the following subjects:

• Special structures in geometry and physics;
• Complex methods in conformal geometry and twistor theory;
• Extremal Kähler metrics.

The primary aim of the conference is to gather together leading experts in the above topics, to discuss recent advances and new directions of research in these vibrant areas, and to expose graduate students and young mathematicians to these exciting developments.