Christopher Cashen – Line Patterns in Free Groups

Christopher Cashen – Line Patterns in Free Groups

Date/heure
Date(s) - 30/03/2012
11 h 00 min - 12 h 30 min

Catégories Pas de Catégories

$I\; will\; discuss\; quasi-isometries\; of\; the\; free\; group\; that\; preserve\; an\; equivariant\; pattern\; of\; lines.\; There\; is\; a\; type\; of\; boundary\; at\; infinity\; whose\; topology\; determines\; how\; flexible\; such\; a\; line\; pattern\; is.\; For\; sufficiently\; complicated\; patterns\; I\; use\; this\; boundary\; to\; define\; a\; new\; metric\; on\; the\; free\; group\; with\; the\; property\; that\; the\; only\; pattern\; preserving\; quasi-isometries\; are\; actually\; isometries.$