|Speaker:||Daniel Pomerleano (Kavli IPMU)|
|Title:||Conifold Transition in the Landau-Ginzburg B-model|
|Date (JST):||Mon, Oct 29, 2012, 14:00 - 17:00|
|Place:||Seminar Room B|
In the first half of my talk, I will give a gentle introduction to the main players of the second part of the talk. These include SYZ mirror symmetry in complement of a divisor following Auroux, mirror symmetry in the presence of a torus action, and an introduction to matrix factorization categories.
In the second half of my talk, I will explain how to produce mirrors to the Lawrence polytope of the A_n singularities and how this reproduces a recent mirror construction of Abouzaid-Auroux-Katzarkov for the A_n singularities themselves. I will then discuss Homological mirror symmetry for A_n singularities. I will then discuss consequences of these results for constructing mirrors to non-toric Fano threefolds. If time permits, I will provide some speculative mirrors for other hypertoric quotients and some evidence for these speculations.