Organisers:
Daniel Chan (University of New South Wales)
Ivan Cheltsov (University of Edinburgh)
Behrouz Taji (University of New South Wales)
Claire Voisin (Centre National de la Recherche Scientifique, IMJ Paris)
Geordie Williamson (Sydney Mathematical Research Institute)

*Logo courtesy of London Tsai: https://www.londontsai.com/drawing

Program Description:  This research program aims 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 research program will include survey and research talks by leading researchers in these areas:

• Moduli problems and stability
• Algebraic geometry in positive and mixed characteristics
• Deformation of varieties through Hodge theory and moduli of Higgs bundles

Program Structure:

Participant List:
Paolo Cascini (Imperial College)
Mark De Cataldo (Stony Brook University)
Jack Hall (University of Melbourne)
Elham Izadi (University of California San Diego)
James McKernan (University of California, San Diego)
Yujiro Kawamata (University of Tokyo)
Sándor Kovács (University of Washington)
Amnon Neeman (Universita degli Studi di Milano)
Jihun Park (IBS / POSTECH)
Frédéric Mangolte (Aix-Marseille Université)
Kento Fujita (Osaka University)
Ziquan Zhuang (Johns Hopkins University)
Kenneth Ascher (UC Irvine)
Kristin DeVleming (University of Massachusetts)
De-Qi Zhang (National University of Singapore)
Gavril Farkas (Humboldt-Universität Berlin)
Philip Engel (University of Illinois Chicago)
Susanna Zimmermann (Universite Paris-Saclay)
Evgeny Shinder (University of Sheffield)
Hamid Abban (University of Nottingham)
Erwan Rousseau (Université de Brest)
Eduard Looijenga (University of Chicago)
Benjamin Bakker (UIC)
Tiago Duarte Guerreiro (Université Paris-Saclay)
Dougal Davis (University of Melbourne)
Daniel Chan (University of New South Wales)
Ivan Cheltsov (University of Edinburgh)
Behrouz Taji (University of New South Wales)
Ekaterina Amerik (HSE Moscow)
Tyson Klingner (University of Washington)
Fei Peng (University of Melbourne)
Davood Nejaty (University of Melbourne)
Erroxe Alberdi (University of Warwick)
Joseph Malbon (University of Edinburgh)
Svetlana Makarova (Australian National University)
Antoine Pinardin (University of Edinburgh)
Julia Schneider (University of Sheffield)
Oliver Li (University of Melbourne)

Registration:

• Deadline: 11 October 2024
• 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
• Departure date: 13 December 2024

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 10 December 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.