Topic: Group actions

Egor Shelukhin presents cases of the Hilbert–Smith conjecture for group actions by homeomorphisms with symplectic structure. The results exclude faithful actions of the additive p-adic group in this setting and give additional restrictions on group actions in symplectic topology. The argument combines a new approach to these action problems with power operations in Floer cohomology and quantitative methods in symplectic topology.

It is generally agreed upon that qualities of conscious experience instantiate structural properties, usually called relations. They furnish a representation of qualities (or qualia, in fact) in terms of a mathematical space Q (rather than a set), which is crucial to both modelling and measuring of conscious experience." "What is usually disregarded is that “only such structural properties generalize across individuals” (Austen Clark), but that qualities themselves as differentiated by stimulus specifications, behavior or reports do not. We show that this implies that only the part of Q which