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This semester-long program in geometric analysis will focus mostly on complex geometry and Kähler geometry, but with the occasional excursion into real geometry. While the inspiration has deep geometrical roots, the tools are to a large degree those of partial differential equations. A lot of the activity will centre on six workshops:

PDEs in Complex Geometry (April 15-19, 2024)

Special Riemannian Metrics in Dimensions 6,7,8 (April 22-26, 2024)

Analysis of Geometric Singularities (May 13-17, 2024)

Moduli Spaces and Singularities (May 20-24, 2024)

Current Trends in Kähler Metrics with Special Curvature Properties (June 17-21, 2024)

Current Trends in Geometric Flows (June 25-29, 2024)

There will be a significant portion of the term and its resources devoted to training. Apart from resources set aside for students to attend the workshops, the semester will coordinate with the Séminaire de Mathématiques Supérieures (SMS). This school, a Montreal tradition, has been providing high-level training for graduate students since 1960, with some of the very top leaders in the field as lecturers.

We think that the 2024 SMS will be no exception. The topic is:

Flows and Variational Methods in Riemannian and Complex Geometry: Classical and Modern Methods (June 3-14, 2024).