Organisers:
Alice Devillers (University of Western Australia)
James Parkinson (University of Sydney)
Jeroen Schillewaert (University of Auckland)
Anne Thomas (University of Sydney)

Program Description: 
In the 1950’s Jacques Tits provided a converse to Klein’s Erlangen program showing that algebraic groups could be understood by the study of geometric objects (buildings) associated to them. In fact his theory is so all-encompassing it also allows us to study groups over local fields, which are of crucial importance in number theory and representation theory. Moreover, the geometry of buildings is very rich in itself and buildings are a key family of examples in geometric group theory, as they form spaces of non-positive curvature (CAT(0) spaces). Lastly the development of buildings played a crucial role in the classification of the finite simple groups. The aim of the meeting is to gather world leading experts and early career researchers working on the theory of buildings and its connections to adjacent fields to investigate the research avenues that have opened up in recent years by means of some spectacular breakthroughs in the field.

Program Schedule (Online)
All talks are held on Zoom and Problems/discussions are held in Sococo
All times Melbourne time (GMT+11).

Please click here for the talk title and abstracts

Talks Recording

• • Adam Piggott “Rewriting systems, triangles in Cayley graphs, and the isomorphism problem for plain groups”
  • Youming Qiao “Optimisation meets CAT(0) spaces”
  • Stephan Tornier: “A permutation group problem relating to groups acting on trees”
  • Yeeka Yau “Cone Types, Automata and Regular Partitions of Coxeter Groups”
  • Alex Bishop “Kazhdan-Lusztig Polynomials and Bruhat Posets”
  • Matthew Conder “Discrete two-generated subgroups of PSL(2,Q_p).”
  • Alex Elzenaar “Approximating the Riley slice exterior”
  • Michael Giudici “Orbits of Sylow subgroups of finite permutation groups”

Online Participant List:
Jeroen Schillewaert (University of Auckland)
Anne Thomas (University of Sydney)
James Parkinson (University of Sydney)
Alice Devillers (University of Western Australia)
Gabriel Verret (University of Auckland)
Geertrui Van De Voorde (University of Canterbury)
Cheryl Praeger (University of Western Australia)
Gaven Martin (Massey University)
John Bamberg (University of Western Australia)
Eamonn O’Brien (University of Auckland)
Arun Ram (University of Melbourne)
George Willis (University of Newcastle)
Michael Giudici (University of Western Australia)
Tomasz Popiel (University of Auckland)
Melissa Lee (University of Auckland)
Heiko Dietrich (Monash University)
Stephan Tornier (University of Newcastle)
Marston Conder (University of Auckland)
Yeeka Yau (University of Sydney)
Alex Bishop (University of Sydney)
Adam Piggott (Australian National University)
Matthew Conder (University of Auckland)
Youming Qiao (University of Technology Sydney)
Max Carter (University of Newcastle)
Alex Elzenaar (University of Auckland)
Ari Markowitz (University of Auckland)
Anton Baykalov (University of Auckland)
Gypsy Akhyar (University of Melbourne)
Grace Yuan
Yuhan Gai