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UID:3b1a653b5e229df9aa098bbe6d1640e5
CATEGORIES:Topology/Geometry Seminar
CREATED:20230416T225900
SUMMARY:A handle-holding approach to Wall-type stabilization problems
LOCATION:Hill 705
DESCRIPTION:<p>In dimension four, the differences between continuous and differential t
 opology are vast but fundamentally unstable, disappearing when manifolds ar
 e enlarged in various ways. I will discuss Wall's stabilization problem and
  some of its variants, all of which aim to quantify this instability. In pa
 rticular, I'll outline a simple "atomic" approach to these problems and, as
  a proof of concept, use it to produce exotic pairs of knotted surfaces (wi
 th boundary) in the 4-ball that remain exotic after one "internal stabiliza
 tion". The key obstruction comes from the universal version of Khovanov hom
 ology. Time permitting, I will speculate on some potential connections to F
 loer homology.</p>
CONTACT:Kyle Hayden (Rutgers Newark)
DTSTAMP:20260829T215200
DTSTART;TZID=America/New_York:20230418T160000
DTEND;TZID=America/New_York:20230418T170000
SEQUENCE:0
TRANSP:OPAQUE
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