Deformations of Landau-Ginzburg models II
Tzu-Ang Kuo ( National Taiwan University )
2017-03-27 15:30 - 18:00
Room 103, Mathematics Research Center Building (ori. New Math. Bldg.)
We follow the method in  to prove, a specific deformation problem of a compactified Landau-Ginzburg model Z is unobstructed (under a tameness condition). We first fix settings and form the deformation problem. Then, we introduce the sheaf of f-adapted forms and give an outline of the proof. After this, and in the second talk, we develop the knowledge of the involved technical tools in the proof - the DGLA and the L-infinity algebra.
 L.Katzarkov, M.Kontsevich and T.Pantev, Bogomolov-Tian-Todorov theorems for Landau-Ginzburg models.
 Marco Manetti, Deformation theory via differential graded Lie algebras.
 Seminari di Geometria Algebrica, 1998-1999.
 Domenico Fiorenza, Donatella Iacono and Elena Martinengo, Differential graded Lie algebras controlling infinitesimal deformations of coherent sheaves.
 X.Z. Cheng and E. Getzler, Homotopy commutative algebraic structures.