BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:Monochromatic Hahn-Wilson conjecture - Piotr Pstragowski (Kyoto Un
 iversity)
DTSTART:20250513T091500Z
DTEND:20250513T101500Z
UID:TALK230524@talks.cam.ac.uk
DESCRIPTION:&nbsp\;In 1999\, Mark Mahowald and Charles Rezk introduced a c
 lass of spectra which are particularly amenable to understanding using the
  classical Adams spectral sequence\, called fp-spectra. As first described
  by Rognes\, these play a pivotal role in generalizing Quillen-Lichtenbaum
  conjectures to the setting of ring spectra.The Quillen-Lichtenbaum conjec
 tures were proven for truncated Brown-Peterson spectra by Dylan&nbsp\;Wils
 on&nbsp\;and Jeremy&nbsp\;Hahn&nbsp\;in 2021\, who in this way discovered 
 the first highly non-obvious example of an fp-spectrum in the form of alge
 braic K-theory. This led them to ask about a general structure result for 
 fp-spectra\, and to conjecture that they can all be built out of particula
 rly simple ones.I will talk about recent joint work with David Lee where w
 e prove a monochromatic analogue of the&nbsp\;Hahn-Wilson&nbsp\;conjecture
 \, and deduce the original conjecture at height one.
LOCATION:Seminar Room 1\, Newton Institute
END:VEVENT
END:VCALENDAR