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SUMMARY:George Kontogeorgiou (Warwick)
DTSTART:20211208T140000Z
DTEND:20211208T150000Z
DTSTAMP:20260423T003237Z
UID:WCS/42
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WCS/42/">Equ
 ivariant Cayley Complex Embeddings</a>\nby George Kontogeorgiou (Warwick) 
 as part of Warwick Combinatorics Seminar\n\n\nAbstract\nIn recent years\, 
 a lot of progress has been made in high-dimensional combinatorics\, i.e. e
 xtending concepts from graph theory to higher dimensional CW-complexes. Tw
 o such concepts of particular interest are (i) group actions and (ii) embe
 ddings. In this talk we will prove that every finite group which admits a 
 faithful topological action over $\\mathbb{S}^3$ has a generalised Cayley 
 complex which embeds equivariantly in $\\mathbb{S}^3$. In the process\, we
  will see some recent theorems and lemmas concerning $2$-complex embedding
 s and group actions over $2$-complexes\, and we will derive a new combinat
 orial characterization of finite groups acting faithfully and topologicall
 y over $\\mathbb{S}^3$.\n
LOCATION:https://researchseminars.org/talk/WCS/42/
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