Topology Seminar
Upcoming Talks
The seminar will meet at 4:30 on Monday in 2131 unless otherwise noted.
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http://math.mit.edu/topology/topology_seminar.ics

Shay Ben Moshe (Hebrew University)
$\begingroup $The redshift conjecture of AusoniRognes says that there is a strong interaction between algebraic Ktheory and the chromatic filtration on spectra. Namely, that if a ring spectrum $R$ is of chromatic height $n$, then $K(R)$ is of chromatic height $n+1$. HopkinsLurie, followed by CarmeliSchlankYanovski, showed that the category of spectra of height $n$ is higher semiadditive, that is, colimits and limits indexed by pifinite spaces are canonically equivalent. In this talk we will describe higher semiadditive Ktheory, a variant of algebraic Ktheory that takes higher semiadditivity into account. We will explain how semiadditive methods allow us to show that it satisfies a form of the redshift conjecture. We will also explain some of its connection to chromatically localized Ktheory. Relevant background on algebraic Ktheory, chromatic homotopy and semiadditivity will be explained. This work is joint with Tomer Schlank.
$\endgroup$ 
Inbar Klang (Columbia)

Ningchuan Zhang (University of Pennsylvania)

Peter Haine (Institute for Advanced Study)

Nikolai Konovalov (University of Notre Dame)

Allen Yuan (Columbia)

Adela Zhang (MIT)
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The mailing list for this seminar is the MIT topology google group.
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