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SUMMARY:Introduction to Categorical Geometry
DTSTART:20140612T101500
DTEND:20140612T113000
DTSTAMP:20260508T103632Z
UID:97d14aeda1aba064dfa7ac2ee283dee62b6f772b22f553f5848e9927
CATEGORIES:Conferences - Seminars
DESCRIPTION:Eric Bunch\nGiven a complete and cocomplete closed symmetric m
 onoidal category C\, consider CMon(C)\, the category of commutative monoid
 s in C. We wish to define a spectrum that takes R \\in CMon(C) and gives S
 pec(R)\, a topological space together with a structure sheaf that takes va
 lues in CMon(C). To do this\, we make use of the (bi)fibration Mod --> CMo
 n(C)\, and instead of defining directly Spec(R)\, we will actually define 
 Spec(R-mod). In the case when C = Z-mod\, this spectrum recovers the prime
  spectrum of a ring. If time permits\, I will discuss thoughts on the case
  when C = S-mod\; modules over the sphere spectrum\, and CMon(C) is commut
 ative ring spectra. In this case\, we do not wish to distinguish between t
 wo Quillen equivalent ring spectra\, and thus must modify the definition o
 f Spec(R). The case when C = S-mod is the subject of my research this summ
 er under the guidance of Dr. Hess.
LOCATION:MA12 http://plan.epfl.ch/?lang=fr&room=MA12
STATUS:CONFIRMED
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