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SUMMARY:The spectrum of units of a height 2 theory - Jeremy Hahn (Massachu
 setts Institute of Technology\; Harvard University)
DTSTART:20180925T133000Z
DTEND:20180925T143000Z
UID:TALK110308@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:The space BSU admits two infinite loop space structures\, one 
 arising from addition of vector bundles and the other from tensor product.
  A surprising fact\, due to Adams and Priddy\, is that these two infinite 
 loop spaces become equivalent after p-completion. I will explain how the A
 dams-Priddy theorem allows for an identification of sl_1(ku_p)\, the spect
 rum of units of p-complete complex K-theory. I will then describe work\, j
 oint with Andrew Senger\, that attempts to similarly understand the spectr
 um of units of the 2-completion of tmf_1(3). Our computations seem suggest
 ive of broader phenomena\, and I will include discussion of several open q
 uestions.
LOCATION:Seminar Room 1\, Newton Institute
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