Speaker: | Daniel Pomerleano (Kavli IPMU) |
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Title: | Conifold Transition in the Landau-Ginzburg B-model |
Date (JST): | Mon, Oct 29, 2012, 14:00 - 17:00 |
Place: | Seminar Room B |
Abstract: |
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. |
Remarks: | Break 15:00-15:30 |