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DTSTART:20220313T070000
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DTSTART;TZID=America/Toronto:20221212T113000
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URL:/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:Summary \n\nTITLE: Cameron-Liebler Sets in Permutation Groups\
 n\nSpeaker:\n Venkata Raghu Tej Pantangi\n\nAffiliation:\n University of R
 egina\n\nLocation:\n Contact Sabrina Lato for Zoom link\n\nABSTRACT: Le
 t $G \\leq S_{n}$ 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 represented by a Boolean function in the linear\nspan of $\\{x_{
 i\\to j} \\ :\\ (i\,j)\\in [n]^2\\}$. These are analogous to\nBoolean degr
 ee 1 functions on the hypercube and to Cameron-Liebler\nline classes in $P
 G(3\,q)$. Sets 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 occur
 ring examples of CL sets. A result of Ellis et.al\,\nshows that all CL set
 s in the $S_{n}$ are canonnical. In this talk\, we\nwill demonstrate many 
 examples with ``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\, j
 ust like $S_{n}$. The talk is based\non ongoing joint work with Jozefien D
 'haeseleer and Karen Meagher.\n 
DTSTAMP:20250521T201950Z
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