| Speaker: | Mina Aganagic (UC Berkeley) |
|---|---|
| Title: | Knots and Mirror Symmetry |
| Date (JST): | Tue, Mar 24, 2015, 17:00 - 18:30 |
| Place: | Room 056 Mathematical Sciences Building, Komaba Campus |
| Abstract: |
I will describe two conjectures relating knot theory and mirror symmetry. One can associate, to every knot K, one a Calabi-Yau manifold Y(K), which depends on the homotopy type of the knot only. The first conjecture is that Y(K) arises by a generalization of SYZ mirror symmetry, as mirror to the conifold, O(-1)+O(-1)->P^1. The second conjecture is that topological string provides a quantization of Y(K) which leads to quantum HOMFLY invariants of the knot. The conjectures are based on joint work with C. Vafa and also with T.Ekholm, L. Ng. |
| Remarks: | The seminar will be broadcasted at Seminar Room D, Kavli IPMU |
