Organisers:
Anand Deopurkar (Australian National University)
Kristin DeVleming (University of California at San Diego)
Jack Hall (University of Melbourne)
Behrouz Taji (University of New South Wales)

Program Description:

This event is a follow up to a similar event held in December 2024. The program will principally focus on two interconnected areas of research:

• Moduli spaces and stacks; those arise as parameter spaces of objects in algebraic geometry. Their geometry encodes fundamental properties of the objects under consideration. As a result, constructing and studying moduli spaces occupies a central place in modern algebraic geometry, and has abundant applications to neighbouring fields like mathematical physics, number theory, and representation theory.
• Derived categories; a natural method to analyse geometric problems is linearisation (e.g.calculus, differential equations, leasts quares). In modern geometry, one linearisation of a geometric object is given by a family of vector spaces related by linear maps; that is, a complex of coherent sheaves. The category of complexes of coherent sheaves is conveniently packaged into a derived category.

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: 12 December 2027

ASSOCIATED EVENTS
MATRIX Wine and Cheese Afternoon 14 December 2027
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.