**Amrita Muralidharan**

TIFR

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.