Isotropic world

Date(s): Wednesday 27th November 2024 (14:00-15:00)
Contact: Event Convenor Contact: Hamid.Abban@nottingham.ac.uk
Description: Speaker's Name: Alexander Vishik
Speaker's Affiliation: University of Nottingham
Speaker's Research Theme(s): Pure Mathematics,
Abstract:
Algebraic Geometry is substantially more complex than Topology. One would like to have local versions of it parametrised roughly by all possible kinds of algebro-geometric points (i.e., by field extensions of the base field), which would allow one to read the information in a simple form. This is achieved with the help of isotropisation, where one annihilates motives of p-anisotropic varieties (i.e., varieties having only closed points of degrees divisible by p). The resulting family of isotropic realisations gives a large number of new points of the Balmer spectrum (a tensor-triangulated generalisation of the Zariski spectrum of a ring) of the category, complementing points coming from the topological realisation. Here “isotropic world” serves as an alternative to topology. A similar (but more general) approach applies to the algebro-geometric stable homotopy category (of Morel-Voevodsky).

Venue: Physics C04

School of Mathematical Sciences

The University of Nottingham
University Park
Nottingham, NG7 2RD

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