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SUMMARY:Hannah Hoganson (University of Maryland)
DTSTART:20260910T180000Z
DTEND:20260910T190000Z
DTSTAMP:20260914T075735Z
UID:OLS/219
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OLS/219/">Fr
 om Countable Ordinals to Infinite Hamming Cubes</a>\nby Hannah Hoganson (U
 niversity of Maryland) as part of Online logic seminar\n\n\nAbstract\nCoun
 table Stone spaces—compact\, Hausdorff\, totally disconnected spaces fam
 iliar from Stone duality— are completely classified up to homeomorphism 
 by countable ordinals. In this talk\, we ask what the groups of homeomorph
 isms of these spaces look like from very far away.\n\nThe answer turns out
  to be surprisingly combinatorial. For most successor ordinals\, their lar
 ge-scale geometry is described by an infinite Hamming cube: vertices are b
 inary sequences with finite support\, and moving one step means changing a
  single coordinate. We'll explore how this Hamming cube arises naturally b
 y looking at clopen partitions of a countable Stone space\, and how the Ca
 ntor–Bendixson derivative lets us move between different ordinal ranks.\
 n\nThis is joint work with George Domat and Robert Alonzo Lyman.\n
LOCATION:https://researchseminars.org/talk/OLS/219/
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