Ekaterina Amerik (Paris and HSE).  Friday 26th September, 1:30-2:30pm. Huxley 140.

Abstract: 

Javier Fernandez de Bobadilla (Basque Center for Applied Mathematics). A’Campo spaces and Lagrangian torus fibrations. Friday 5th December, 1:30-2:30pm. Huxley 140.

Abstract: A’Campo spaces are a hybrid geometry construction recently introduced by T. Pelka and myself. It replaces the central fibre of a normal crossings degeneration by a “radius 0 Milnor fibration” by means of a tropical blow up of the Kato-Nakayama space of the divisorial log-structure. The main advantage over other hybrid geometry constructions is that A’Campo space is a smooth manifold with boundary, with a smooth submersion to the real oriented blow up of the disc; this allows to endow them with a symplectic form. I will explain how to use this construction to produce Lagrangian torus fibrations for any maximal Calabi-Yau degenerations. This fibrations are the arquimedean analogues of the affinoid torus fibrations produced by Nicaise, Xu and Yu.