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DTSTART;TZID=America/Toronto:20250922T143000
SEQUENCE:0
TRANSP:TRANSPARENT
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URL:https://uwaterloo.ca/pure-mathematics/events/pure-math-colloquium-56
SUMMARY:Pure Math Colloquium
CLASS:PUBLIC
DESCRIPTION:ANTON BERNSHTEYN\, UCLA\n\n_Minimal subdynamics and its applica
 tions_\n\nTopological dynamics is the study of continuous group actions. T
 he\nclassical and best understood cases are when the acting group is\neith
 er $\\mathbb{Z}$ or $\\mathbb{R}$\, while the general theory remains\nfar 
 less clear. In particular\, the tools to approach the dynamics of\nnon-Abe
 lian discrete groups have only begun to emerge in recent years\,\nin part 
 thanks to the arrival of powerful techniques from\ncombinatorics and descr
 iptive set theory. In this talk\, I will\nillustrate this confluence of id
 eas by discussing the following very\nbasic problem: If $\\Delta$ is a sub
 group of $\\Gamma$\, does $\\Gamma$\nhave a free continuous action on a co
 mpact Hausdorff space without\nnontrivial closed $\\Delta$-invariant subse
 ts? This talk is based on\njoint work with Joshua Frisch.\n\nMC 5501
DTSTAMP:20260502T041610Z
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