Organisers:
Marcy Robertson (University of Melbourne)
Philip Hackney (University of Louisiana at Lafayette)

Program Description:

Over the last 15 years, substantial progress has been made in advancing the theory of higher structures. This program aims to explore the impact of developments in the theory of higher, or infinity, categories on key areas such as algebraic topology, algebraic and arithmetic geometry, and geometric representation theory. The two-week program will facilitate collaboration between foundational experts, the mathematicians pioneering new advancements in higher structures, and the intended end-users of these structures.

The program will feature a series of mini-courses designed to bring all participants up to speed on the latest developments. Ample time for collaboration and discussion will be provided, fostering an environment conducive to knowledge exchange and idea generation. Additionally, a brief mini-conference will be included in the program, offering a platform for early–career researchers in the field to showcase their work.

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: 9 August 2026

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 11 August 2026
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.