# Upcoming Talks

The seminar will meet at 4:30 on Monday in 2-131 unless otherwise noted.

Click here to add this seminar to your google calendar. If you use a different calendar program, the ics file for this seminar is here:
http://math.mit.edu/topology/topology_seminar.ics

• Mar 132023

### Shay Ben Moshe (Hebrew University)

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#### Higher Semiadditive Algebraic K-Theory and Redshift

The redshift conjecture of Ausoni-Rognes says that there is a strong interaction between algebraic K-theory 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 $n+1$. Hopkins-Lurie, followed by Carmeli-Schlank-Yanovski, showed that the category of spectra of height $n$ is higher semiadditive, that is, colimits and limits indexed by pi-finite spaces are canonically equivalent. In this talk we will describe higher semiadditive K-theory, a variant of algebraic K-theory 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 K-theory. Relevant background on algebraic K-theory, chromatic homotopy and semiadditivity will be explained. This work is joint with Tomer Schlank.

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• Apr 032023

• Apr 102023

• Apr 242023

• May 012023

• May 082023

• May 152023

### Adela Zhang (MIT)

Email Jeremy Hahn For inquiries about the seminar.

The mailing list for this seminar is the MIT topology google group.
Email Mike Hopkins if you want to join the list.