We are organizing a workshop on complex geometry involving three mini-courses given by Ruadhaí Dervan, Mirko Mauri and Junsheng Zhang and two research talks.

The conference will take place from May 26-29, 2026 at the Institut de Mathématiques de Bordeaux, France.

It is expected from the participants that they finance their travel and housing ; we will however have some funding for the younger participants, who can indicate in the form if they wish to apply.

The deadline for pre-registering is February 20, 2026. Accepted participants will be notified soon after

Ruadhaí Dervan (U. Warwick) -- Mini-course

Simon Jubert (Sorbonne U.)

Mirko Mauri (Sorbonne U.) -- Mini-course

Annamaria Ortu (U. Gothenburg)

Junsheng Zhang (NYU) -- Mini-course

Simon Jubert

Yau–Tian–Donaldson correspondence for projective bundles over a curve

A central question in complex geometry concerns the existence of
canonical metrics. In the 1980s, Calabi proposed extremal metrics as
candidates, naturally generalizing Kähler metrics of constant scalar
curvature.

In this talk, we will explain that, for projective bundles over a
curve, the existence of extremal metrics can be characterized using a
notion of stability defined on a certain moment polytope, itself
defined in terms of convex functions on this polytope. We will also
give an interpretation of this notion of stability in terms of test
configurations, that is, one-parameter degenerations of the variety,
within the framework of the Yau–Tian–Donaldson conjecture. This is
joint work with Chenxi Yin (UQAM).

• Benoît Cadorel (IECL, Nancy)
• Junyan Cao (LJAD, Nice)
• Ya Deng (IMJ-PRG, Paris)
• Henri Guenancia (IMB, Bordeaux)

ANR Project Karmapolis : https://karmapolis.pages.math.cnrs.fr