Topology Seminar

Monday, September 17, 2018 at 4:30pm

2-131

Jeremy Hahn (MIT)

"The spectrum of units of a height 2 theory "

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 Adams-Priddy theorem allows for an identification of sl_1(ku_p), the spectrum of units of p-complete complex K-theory. I will then describe work, joint with Andrew Senger, that attempts to similarly understand the spectrum of units of the 2-completion of tmf_1(3). Our computations seem suggestive of broader phenomena, and I hope to end with several open questions.

Event Type

Conferences/Seminars/Lectures

Events By Audience

Public, MIT Community

Tags

harmonjo, algtop_sem

Department
Department of Mathematics
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