Konferenz: Swiss-Russian Seminar on Moduli Spaces and Physics


Weak Landau--Ginzburg models of Fano varieties

{{_Ltalk:R}} Dr. Victor Przyjalkowski
Datum: 07.12.07   Zeit: 14.00 - 15.00   Raum: Y27H36

Abstract: Mirror symmetry conjectures states that for any smooth Fano variety there exists a dual Landau--Ginzburg model, that is, a pencil of algebraic varieties whose symplectic properties transforms to algebraic ones of the initial Fano, and vice versa, whose algebraic properties transforms to symplectic ones. One of the main problems of mirror symmetry is finding of such models. We discuss a purely computational method of finding of natural candidates for dual models (which are called weak Landau--Ginzburg models). Finally we discuss their properties and their relations with toric degenerations.