Fibre Inflation and $\alpha$-attractors
  Fibre inflation is a specific string theory construction based on the Large
Volume Scenario that produces an inflationary plateau. We outline its relation
to $\alpha$-attractor models for inflation, with the cosmological sector
originating from certain string theory corrections leading to $\alpha=2$ and
$\alpha=1/2$. Above a certain field range, the steepening effect of
higher-order corrections leads first to the breakdown of single-field slow-roll
and after that to the onset of 2-field dynamics: the overall volume of the
extra dimensions starts to participate in the effective dynamics. Finally, we
propose effective supergravity models of fibre inflation based on an
${\overline {D3}}$ uplift term with a nilpotent superfield. Specific moduli
dependent $\overline {D3}$ induced geometries lead to cosmological fibre models
but have in addition a de Sitter minimum exit. These supergravity models
motivated by fibre inflation are relatively simple, stabilize the axions and
disentangle the Hubble parameter from supersymmetry breaking.
