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SUMMARY:Jeremy Hahn (MIT)
DTSTART:20201207T213000Z
DTEND:20201207T223000Z
DTSTAMP:20260423T024541Z
UID:MITTop/23
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/MITTop/23/">
 Redshift for truncated Brown-Peterson spectra</a>\nby Jeremy Hahn (MIT) as
  part of MIT topology seminar\n\n\nAbstract\nAusoni and Rognes calculated 
 that K(ku) has chromatic height 2\, at least at primes larger than 3.\nThe
 ir redshift philosophy more generally suggests that the algebraic K-theory
  of a height n ring spectrum should have height n+1.\nI will explain work\
 , joint with Dylan Wilson\, in which we equip BP(n) with an E_3-BP-algebra
  structure for all primes p and heights n.\nThe algebraic K-theory of this
  E_3 ring has chromatic height n+1\, giving an example of redshift at arbi
 trary height.\nTo show the ideas I may present quick proofs\, at the prime
  2\, of the facts that K(ku) is height 2 and K(tmf) is height 3.\n
LOCATION:https://researchseminars.org/talk/MITTop/23/
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