Greg Stevenson (Glasgow) "In search of greener pastures"

There is an instructive and (miraculously) faithful analogy between commutative rings and tensor triangulated categories. One can speak of prime ideals, the Zariski topology, localization, and the resulting spectra in both contexts and these concepts relate to one another in a way that far exceeds what one would naively, and perhaps reasonably, expect. However, there is trouble in paradise: there is no existing analogue of closed subschemes for tensor triangulated categories and, in particular, residue fields are a problematic concept. I'll discuss joint work with Paul Balmer and Henning Krause which is aimed toward elucidating these elusive residue fields.

Event details

When

Oct 10, 2017
from 02:00 PM to 03:00 PM

Where

MA 119

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