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CATEGORIES:Conferences/Seminars/Lectures
DESCRIPTION:Featured Speaker : Gabe Angelini-Knoll (Freie UniversitÃ¤t Berl
in)\n\nTitle : Morava K-theory of algebraic K-theory and topological perio
dic cyclic homology\n\nAbstract : The chromatic red-shift program of Auson
i-Rognes suggests that algebraic K-theory shifts chromatic height by one. I
n my talk\, I will describe a computational approach to this program where
chromatic height is measured by vanishing of Morava K-theory. In particular
\, we see that the vanishing range of Morava K-theory of topological period
ic cyclic homology of a certain family of Thom spectra $y(n)$ increases by
one. We also prove that algebraic K-theory preserves vanishing of Morava K-
theory for $y(n)$\, a result recently proven in parallel by Land-Meier-Tamm
e by entirely different methods. Our theorem relies on a technical result a
bout when commuting Morava K-theory with a sequential limit is possible\, w
hich I will discuss. As second application of this technical result\, we pr
ove a higher chromatic height analogue of Mitchellâ€™s theorem for truncated
Brown-Peterson spectra associated to a prime p and an integer n\, which rem
ains conditional for large primes p and integers n. This is based on joint
work with J.D. Quigley and joint work with A. Salch. \n\nFor information\,
write: burklund@mit.edu
DTEND:20200309T201500Z
DTSTAMP:20241106T201426Z
DTSTART:20200309T191500Z
GEO:42.358825;-71.090029
LOCATION:Room : 2 - 131
SEQUENCE:0
SUMMARY:Special Algebraic Topology Seminar
UID:tag:localist.com\,2008:EventInstance_32875792981571
URL:https://calendar.mit.edu/event/algebraic_topology_seminar_20200309x
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