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UID:20250723T175909EDT-3903GTSUds@132.216.98.100
DTSTAMP:20250723T215909Z
DESCRIPTION:Title:  Train track automata for outer automorphisms of free gr
 oups and geodesics in outer space\n\nAbstract: The outer automorphism grou
 p of the free group Out(F_r) acts as the isometry group on the deformation
  space of weighted graphs\, Culler-Vogtmann Outer space CV_r. The train tr
 ack theory of Bestvina-Feighn-Handel bridges studying topological represen
 tatives of the group elements and geodesics in this space it acts on. We u
 se the asymptotic conjugacy class invariant of the Handel-Mosher ideal Whi
 tehead graph to “stratify” the space of geodesics\, and the dynamically mi
 nimal “fully irreducible” outer automorphisms\, into train track automata 
 for different ideal Whitehead graphs. We then also contextualize this work
  in the broader program of understanding the geodesic flow. While the flow
  in the closed hyperbolic manifold and Teichmuller space settings is ergod
 ic\, it is unclear whether graphs live in such a nice setting. We explain 
 some of our indicators of certain properties the flow may have. Some resul
 ts presented are joint with some combinations of Y. Algom-Kfir\, D. Gagnie
 r\, I. Kapovich\, J. Maher\, L. Mosher\, and S.J. Taylor.\n\n \n\nWe will 
 go for dinner with Catherine today (Wednesday). We will meet in front of L
 ola Rosa on Milton at 6pm.\n\n \n
DTSTART:20241031T190000Z
DTEND:20241031T200000Z
LOCATION:Room 1214\, Burnside Hall\, CA\, QC\, Montreal\, H3A 0B9\, 805 rue
  Sherbrooke Ouest
SUMMARY:Catherine Pfaff (Institute for Advanced Study & Queen's University)
URL:/mathstat/channels/event/catherine-pfaff-institute
 -advanced-study-queens-university-360704
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