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Motivic Spectra
April 14 at 10:15 – 11:45 CEST
Talk 1: Definition of motivic spectra (Andreas Gieringer) – Easy
Define elementary and smooth blowup excision [AHI25, Definition 2.1], and prove that
Nisnevich-locally they agree [AHI25, Proposition 2.2]. Explain how to invert and object c
in a presentable symmetric monoidal ∞-category C, i.e. explain [AI22, Proposition 1.3.14].
Note that in general, this is not given by the c-telescope colimPrL(C−⊗c −−→ C → . . . ). End the talk by giving the definition of MSS, as in the beginning of [AHI25, Section 4]. If time permits, explain the basic functoriality of MSS.