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Piotr Pstragowski will speak on

Synthetic spectra and motives

In recent years, stable homotopy theory, which studies topological phenomena in large dimensions, has been reinvigorated by growing connections to algebraic geometry. Particularly important has been the method of descent, which leads to a calculational tool called the Adams spectral sequence. In the talk, I will describe how the latter can be encoded through a deformation of the topologist's category of spectra into a category of quasi-coherent sheaves, and about the surprising connection this creates with the theory of motives.