| Speaker: | Alexander Alexandrov (IBS Korea) |
|---|---|
| Title: | Open intersection numbers, matrix model, and W-constraints |
| Date (JST): | Tue, Sep 25, 2018, 13:15 - 14:45 |
| Place: | Seminar Room A |
| Related File: | 2079.pdf |
| Abstract: |
From the seminal papers of Witten and Kontsevich we know that the intersection theory on the moduli spaces of complex curves is described by a tau-function of the KdV integrable hierarchy. Moreover, this tau-function is given by a matrix integral and satisfies the Virasoro constraints. Recently, an open version of this intersection theory was introduced. In my talk I will show that the open version can be described very similar to the closed one, in particular it is given by a tau-function of the integrable hierarchy. Moreover, it's W-constraints can be naturally described in terms of two free bosonic fields. |
