Seminar

Postdoc day, Seminar 1: Adjoining roots to ring spectra and algebraic K-theory

Higher algebraic structures in algebra, topology and geometry

18 February 13:30 - 14:00

Özgür Bayındır - University Paris 13

In this work, we start with a new method to adjoin roots to E_2 ring spectra. We prove that this process is logarithmic THH \'etale and that it results in interesting splittings in algebraic K-theory. For instance, we obtain that T(n+1)-locally, the algebraic K-theory of the nth Morava E-theory contains the algebraic K-theory of the truncated Brown-Peterson spectrum with coefficients as a summand. In particular, this provides a proof of the fact that Morava E-theories satisfy the redshift conjecture. This is a joint work with Tasos Moulinos and Christian Ausoni.

 

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Organizers
Gregory Arone
Stockholm University
Tilman Bauer
KTH Royal Institute of Technology
Alexander Berglund
Stockholm University
Søren Galatius
University of Copenhagen
Jesper Grodal,
University of Copenhagen
Thomas Kragh
Uppsala University

Program
Contact

Alexander Berglund

alexb@math.su.se

Søren Galatius

galatius@math.ku.dk

Thomas Kragh

thomas.kragh@math.uu.se

Other
information

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