BEGIN:VCALENDAR
VERSION:2.0
PRODID:-//Talks.cam//talks.cam.ac.uk//
X-WR-CALNAME:Talks.cam
BEGIN:VEVENT
SUMMARY:On the residue sequence in logarithmic THH - Tommy Lundemo (Bergis
 che Universität Wuppertal)
DTSTART:20250603T143000Z
DTEND:20250603T153000Z
UID:TALK230590@talks.cam.ac.uk
DESCRIPTION:While algebraic K-theory\, TC\, and THH all enjoy a common loc
 alization property\, a key tool to study the resulting cofiber sequences -
  d&eacute\;vissage - is only available for algebraic K-theory. There have 
 been two major attempts to circumvent this: The first\, due to Hesselholt-
 -Madsen and Blumberg--Mandell\, involves a model of THH and TC of Waldhaus
 en categories that produces new localization sequences as an instance of W
 aldhausen's fibration theorem. The second\, due to Rognes--Sagave--Schlich
 tkrull\, bypasses d&eacute\;vissage entirely. Instead\, they use Rognes' l
 ogarithmic THH to generalize a classical residue sequence involving logari
 thmic differential forms to a cofiber sequence of cyclotomic spectra.\nI w
 ill report on work in progress\, in which I will address the problem of re
 conciling the localization property of THH with that of its logarithmic co
 unterpart. When combined with forthcoming work of Ramzi--Sosnilo--Winges\,
  this becomes closely related to the problem of realizing logarithmic THH 
 as the THH of a stable infinity-category\, providing a candidate category 
 of "logarithmic modules" in specific cases.
LOCATION:Seminar Room 2\, Newton Institute
END:VEVENT
END:VCALENDAR