Colloquium abstracts

Amrita Muralidharan
November 8, 2012

An analogue of Raynaud's theory in rigid analytic and formal geometry:  In Raynaud's approach to rigid analytic geometry, rigid analytic spaces are interpreted as generic fibres of formal schemes. Grosse-Kloenne, motivated by Berthelot's rigid cohomology, defined dagger spaces as overconvergent analogues of rigid analytic spaces. Meredith defined weak formal schemes using Monsky and Washnitzer's definition of weak completion of algebras. In a similar vein to Raynaud's theory, we interpret dagger spaces as generic fibres of weak formal schemes and establish a precise relationship between them.