Real Lagrangians in toric degenerations

Abstract: Real loci of the canonical toric degenerations constructed from integral affine manifolds with singularities in the joint work with Mark Gross, provide an ample source of examples of Lagrangians that conjecturally are amenable to algebraic-geometric versions of Floer theory. In the talk I will discuss joint work with Hülya Argüz on how the topology of the real locus can be understood by means of the affine geometry and by Kato-Nakayama spaces associated to log spaces.