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DTSTART:20220313T070000
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DTSTART:20221106T060000
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DTSTART;TZID=America/Toronto:20221212T113000
SEQUENCE:0
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DTEND;TZID=America/Toronto:20221212T113000
URL:https://uwaterloo.ca/combinatorics-and-optimization/events/algebraic-gr
 aph-theory-seminar-venkata-raghu-tej-pantangi
SUMMARY:Algebraic Graph Theory Seminar - Venkata Raghu Tej Pantangi
CLASS:PUBLIC
DESCRIPTION:TITLE: Cameron-Liebler Sets in Permutation Groups\n\nSpeaker:\
 n Venkata Raghu Tej Pantangi\n\nAffiliation:\n University of Regina\n\nLoc
 ation:\n Contact Sabrina Lato for Zoom link\n\nABSTRACT: Let $G \\leq S
 _{n}$ be a transitive permutation group. Given\n$i\,j \\in [n]$\, by $x_{i
 \\to j}$\, denote the characteristic function of\nthe set $\\{g \\in G\\ :
 \\ g(i)=j\\}$. A Cameron-Liebler set (CL set) in\n$G$ is a set which is re
 presented by a Boolean function in the linear\nspan of $\\{x_{i\\to j} \\ 
 :\\ (i\,j)\\in [n]^2\\}$. These are analogous to\nBoolean degree 1 functio
 ns on the hypercube and to Cameron-Liebler\nline classes in $PG(3\,q)$. Se
 ts of the form $\\{g\\ : g(i)\\in X\\}$ and\n$\\{g\\ : \\ i \\in g(X)\\}$ 
 (for $i \\in [n]$ and $X \\subset [n]$) are\ncanonically occurring example
 s of CL sets. A result of Ellis et.al\,\nshows that all CL sets in the $S_
 {n}$ are canonnical. In this talk\, we\nwill demonstrate many examples wit
 h ``exotic'' CL sets. Of special\ninterest is an exotic CL set in $PSL(2\,
 q)$ (with $q \\equiv 3\n\\pmod{4}$)\, a 2-transitive group\, just like $S_
 {n}$. The talk is based\non ongoing joint work with Jozefien D'haeseleer a
 nd Karen Meagher.
DTSTAMP:20260418T213005Z
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