BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//CERN//INDICO//EN
BEGIN:VEVENT
SUMMARY:On Fixed-Point Sets of $Z_2$-Tori in Positive Curvature [MPIM]
DTSTART:20250717T150000Z
DTEND:20250717T153000Z
DTSTAMP:20260420T162200Z
UID:indico-event-559@math-events.uni-bonn.de
DESCRIPTION:Speakers: Catherine Searle (Wichita State University/MPIM)\n\n
 Summer Geometry Day\nIn recent work of Kennard\, Khalili Samani\, and the 
 last author\, they generalize the Half-Maximal Symmetry Rank result of Wil
 king for torus actions on positively curved manifolds to $\\mathbb{Z}_2$-t
 ori with a fixed point. They show that if the rank is approximately one-fo
 urth of the dimension of the manifold\, then fixed point set components of
  small co-rank subgroups of the $Z_2$-torus  are homotopy equivalent to s
 pheres\, real projective spaces\, complex projective spaces\, or lens spac
 es. In this paper\, we lower the bound on the rank of the $\\mathbb{Z}_2$-
 torus to approximately $1/6$ and $1/8$ of the dimension of the manifold an
 d are able to classify either the integral cohomology ring or the $\\mathb
 b{Z}_2$-cohomology ring\, respectively\, of the fixed point set of the $\\
 mathbb{Z}_2$-torus. This is joint work with Austin Bosgraaf and Christine 
 Escher.\n \n\nhttps://math-events.uni-bonn.de/event/559/
LOCATION:MPIM\, Vivatsgasse\,  7 - Lecture Hall (Max Planck Institute for 
 Mathematics)
URL:https://math-events.uni-bonn.de/event/559/
END:VEVENT
END:VCALENDAR