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 – invited speakers: Sándor Kovács (Washington) and James McKernan (UC San Diego)
• Algebraic geometry in positive and mixed characteristics – invited speakers: Hélène Esnault (Berlin) and Paolo Cascini (Imperial)
• Deformation of varieties through Hodge theory and moduli of Higgs bundles – invited speakers: Mark De Cataldo (Stony Brook) and Mihnea Popa (Harvard)

Program Structure:

Participant List:
Mark De Cataldo (Stony Brook University)
Elham Izadi (University of California San Diego)
James McKernan (University of California, San Diego)
Sándor Kovács (University of Washington)
Amnon Neeman (Universita degli Studi di Milano)
Frédéric Mangolte (Aix-Marseille Université)
Kento Fujita (Osaka University)
Mihnea Popa (Harvard 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)
Tiago Duarte Guerreiro (Université Paris-Saclay)
Dougal Davis (University of Melbourne)
Daniel Chan (UNSW, Sydney)
Behrouz Taji (UNSW)
Ekaterina Amerik (HSE Moscow)
Tyson Klingner (University of Washington)
Fei Peng (University of Melbourne)
Davood Nejaty (University of Melbourne)
Erroxe Alberdi (University of Warwick)
Brian Nugent (University of Washington)
Joseph Malbon (University of Edinburgh)

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.