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CALSCALE:GREGORIAN
X-WR-CALNAME:LATOP at Caltech\, Talk 2
X-WR-TIMEZONE:Pacific Time (US & Canada)
BEGIN:VEVENT
DTSTAMP:20260717T075204Z
UID:tag:localist.com\,2008:EventInstance_3197477
DTSTART:20171205T010000Z
DTEND:20171205T020000Z
DESCRIPTION:Zhouli Xu\, MIT\n\nTitle: “Smooth structures\, stable homotop
 y groups of spheres and motivic homotopy theory”\n\nAbstract: Following 
 Kervaire-Milnor\, Browder and Hill-Hopkins-Ravenel\, Guozhen Wang and I sh
 owed that the 61-sphere has a unique smooth structure and is the last odd 
 dimensional case: $S^1\, S^3\, S^5$ and $S^{61}$ are the only odd dimensio
 nal spheres with a unique smooth structure. The proof is a computation of 
 stable homotopy groups of spheres. We introduce a method that computes dif
 ferentials in the Adams spectral sequence by comparing with differentials 
 in the Atiyah-Hirzebruch spectral sequence for real projective spectra thr
 ough Kahn-Priddy theorem. I will also discuss recent progress of computing
  stable stems using motivic homotopy theory with Dan Isaksen and Guozhen W
 ang.
LOCATION:Caltech\, 201 E. Bridge
SUMMARY:LATOP at Caltech\, Talk 2
URL;VALUE=URI:https://calendar.usc.edu/event/latop_at_caltech_talk_2
CATEGORIES:Lecture / Talk / Workshop
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