|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|
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