|Speaker:||Yota Shamoto (Kavli IPMU)|
|Title:||Hodge-Tate conditions for Landau-Ginzburg models|
|Date:||Thu, May 17, 2018, 15:30 - 17:00|
|Place:||Seminar Room A|
From the viewpoint of homological mirror symmetry for Fano manifolds, Katzarkov-Kontsevich-Pantev proposed some conjectures on algebra-geometric property of Landau-Ginzburg models with tame compactifications. In this talk, I will firstly explain (modified versions of) their conjectures. Then, I will give the definition of Hodge-Tate condition for Landau-Ginzburg models, which is a sufficient condition for the conjectures.
If time permits, I will give some examples of Landau-Ginzburg models with the Hodge-Tate condition and explain a relation to the quantum D-modules of Fano manifolds.