The retreat will focus on introducing Australian researchers to recent work in the area of counting rational points on moduli stacks via motives and cohomology.  

The retreat will be in an accelerated seminar schedule with a talk schedule and references distributed in advance.  All 6-9 participants will give 90-minute talks on the topic, as well as unstructured time throughout the retreat for questions and discussion. 

A more detailed schedule will follow soon.

To apply: contact Scott via email.

References (to be updated soon with detailed schedule)

Papers:

[CLPW24] S. Canning, H. Larson, S. Payne, T. Willwacher, Moduli spaces of curves with polynomial point counts. arXiv:2410.19913.

[BFP24] J. Bergström, C. Faber, S. Payne. Polynomial point counts and odd cohomology vanishing on moduli spaces of stable curves, Ann. Math. (2) 199 (2024), no. 3, 1323–1365.

[S22] F. Scavia, On the mixed Tate property and the motivic class of the classifying stack of a finite group, Algebra Number Theory 16 (2022), no. 10, 2265--2287.

Background:

[E25] Torsten Ekedahl. The Grothendieck Group of Algebraic Stacks. In Perspectives on Four Decades of Algebraic Geometry, Volume 1, volume 351 of Progr. Math., pages 233–261. Birkhäuser/Springer, Cham, 2025.

[dFLNU07] Tommaso de Fernex, Ernesto Lupercio, Thomas Nevins, and Bernardo Uribe. Stringy Chern classes of singular varieties. Adv. Math., 208(2): 597–621, 2007.

[vdG24] G. van der Geer, Curves over finite fields and moduli spaces, in Curves over finite fields---past, present and future, 113--144, Panor. Synthéses, 60, Soc. Math. France, Paris 2024