BEGIN:VCALENDAR
VERSION:2.0
PRODID:researchseminars.org
CALSCALE:GREGORIAN
X-WR-CALNAME:researchseminars.org
BEGIN:VEVENT
SUMMARY:Mauricio Bustamante (University of Cambridge)
DTSTART:20201027T150000Z
DTEND:20201027T160000Z
DTSTAMP:20260423T021530Z
UID:OSUGGT/3
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/OSUGGT/3/">D
 iffeomorphisms of solid tori</a>\nby Mauricio Bustamante (University of Ca
 mbridge) as part of Ohio State Topology and Geometric Group Theory Seminar
 \n\n\nAbstract\nThe homotopy groups of the diffeomorphism group of a high 
 dimensional manifold with infinite fundamental group can be infinitely gen
 erated. The simplest example of this sort is the solid torus T=S^1\\times 
 D^{d-1}. In fact\, using surgery and pseudoisotopy theory\, it is possible
  to show that in the range of degrees up to (roughly) d/3\, the homotopy g
 roups of Diff(T) contain infinitely generated torsion subgroups.\n\nIn thi
 s talk\, I will discuss an alternative point of view to study Diff(T) whic
 h does not invoke pseudoisotopy theory: when d=2n\, we interpret Diff(T) a
 s the "difference" between diffeomorphisms and certain self-embeddings of 
 the manifold X_g obtained as the connected sum of T with the g-fold connec
 ted sum of S^n \\times S^n.\n\nWe will see how infinitely generated torsio
 n subgroups appear from this perspective\, and that they can be found even
  up to degrees d/2. This is ongoing joint work with O. Randal-Williams.\n
LOCATION:https://researchseminars.org/talk/OSUGGT/3/
END:VEVENT
END:VCALENDAR