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SUMMARY:Motivic infinite loop spaces and Hilbert schemes - Marc Hoyois (Ma
 ssachusetts Institute of Technology)
DTSTART:20180814T133000Z
DTEND:20180814T143000Z
UID:TALK108685@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-authors: Elden Elmanto (Northwestern University)\, Adeel A.
  Khan (Universit&auml\;t Regensburg)\, Vladimir Sosnilo (St. Petersburg St
 ate University)\, Maria Yakerson (Universit&auml\;t Duisburg-Essen)We prov
 e a recognition principle for motivic infinite loop spaces over a perfect 
 field of characteristic not 2. This is achieved by developing a theory of 
 framed motivic spaces\, which is a motivic analogue of the theory of E-inf
 inity-spaces. Our main result is that grouplike framed motivic spaces are 
 equivalent to the full subcategory of motivic spectra generated under coli
 mits by suspension spectra. As a consequence\, we deduce some representabi
 lity results for suspension spectra of smooth varieties and various motivi
 c Thom spectra in terms of Hilbert schemes of points in affine spaces.Rela
 ted Linkshttps://arxiv.org/abs/1711.05248&nbsp\;- preprint
LOCATION:Seminar Room 1\, Newton Institute
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