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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Monochromatic Hahn-Wilson conjecture - Piotr Pstra
 gowski (Kyoto University)
DTSTART;TZID=Europe/London:20250513T101500
DTEND;TZID=Europe/London:20250513T111500
UID:TALK230524AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/230524
DESCRIPTION:&nbsp\;In 1999\, Mark Mahowald and Charles Rezk in
 troduced a class of spectra which are particularly
  amenable to understanding using the classical Ada
 ms spectral sequence\, called fp-spectra. As first
  described by Rognes\, these play a pivotal role i
 n generalizing Quillen-Lichtenbaum conjectures to 
 the setting of ring spectra.The Quillen-Lichtenbau
 m conjectures were proven for truncated Brown-Pete
 rson spectra by Dylan&nbsp\;Wilson&nbsp\;and Jerem
 y&nbsp\;Hahn&nbsp\;in 2021\, who in this way disco
 vered the first highly non-obvious example of an f
 p-spectrum in the form of algebraic K-theory. This
  led them to ask about a general structure result 
 for fp-spectra\, and to conjecture that they can a
 ll be built out of particularly simple ones.I will
  talk about recent joint work with David Lee where
  we prove a monochromatic analogue of the&nbsp\;Ha
 hn-Wilson&nbsp\;conjecture\, and deduce the origin
 al conjecture at height one.
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:
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