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Guest seminar - Allen Yuan | Einstein Institute of Mathematics

Guest seminar - Allen Yuan

Date: 
Mon, 12/04/202121:00-23:00
Repeats every 2 weeks every Monday until Sun May 23 2021
Location: 
https://zoom.us/j/4114878653
Title: Examples of chromatic redshift

Abstract: One form of the Ausoni-Rognes chromatic redshift philosophy
is that algebraic K-theory raises the chromatic complexity of a ring
by one. Work of Clausen-Mathew-Naumann-Noel shows, in particular,
that K-theory raises height by at most one; on the other hand, recent
work of Hahn-Wilson gives an example at each height (a form of BP<n>)
where this height shifting does occur. In this talk, I will discuss a
non-computational proof of this height shifting in a range of
examples, including Lubin-Tate theories and the iterated K-theory of
fields.