Organisers:
Daniel Chan (UNSW)
Ivan Cheltsov (Edinburgh)
Behrouz Taji (UNSW)
Claire Voisin (CNRS, IMJ Paris)
Geordie Williamson (SMRI)

Program Description:
This program will aim at gathering experts at an international scale on very active areas of research: birational geometry in positive and mixed characteristic, moduli theory, K-stability and Hodge theory. The program’s main goal is to promote discussion and collaboration on these increasingly specialised and yet deeply interconnected branches of the field.

This program will follow a series of mini-courses in Sydney given by leading researchers in these areas, on the below topics:

• Moduli problems and stability – invited speakers: Caucher Birkar (Cambridge), Christopher Hacon (Utah), Sándor Kovács (Washington), and Chenyang Xu (Princeton)
• Algebraic geometry in positive and mixed characteristics – invited speakers: Hélène Esnault (Berlin) and Paolo Cascini (Imperial)
• Deformation of varieties through Hodge theory – invited speakers: Mark De Cataldo (Stony Brook) and Christian Schnell (Stony Brook)

Program Structure:
TBD

Registration:

• Deadline: TBD
• Registration is by invitation only. If you are interested to participate in this program, please contact one of the organisers with your CV and research background.
• Arrival date: 8 December 2024

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 2 July 2024
On the first Tuesday of each program, MATRIX provides a pre-dinner wine and cheese afternoon. Produce is locally-sourced to showcase delicacies from the region.