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SUMMARY:Synthetic $E_\\infty$-rings and THH - Andrew Senger (Harvard Unive
 rsity)
DTSTART:20250617T091500Z
DTEND:20250617T101500Z
UID:TALK230689@talks.cam.ac.uk
DESCRIPTION:In this talk\, I will introduce the category of synthetic $E_\
 \infty$-rings. This category is distinct&nbsp\;from\, though monadic and c
 omonadic over\, the category of $E_\\infty$-rings in even\, MU-synthetic s
 pectra\, and is closely related to the even filtration. Under the relation
 ship between p-complete synthetic and cellular motivic spectra\, synthetic
  $E_\\infty$-rings are expected to correspond to the normed motivic spectr
 a of Bachmann--Hoyois. I will also&nbsp\;discuss&nbsp\;how synthetic $E_\\
 infty$-rings can be used to study the even filtration on THH.\nThis is joi
 nt work in progress with Devalapurkar\, Hahn and Raksit. It takes inspirat
 ion from work in the motivic setting by Bachmann--Burklund and joint work 
 of the speaker with Burklund.
LOCATION:Seminar Room 1\, Newton Institute
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