Tropical Colloquium: "Tropical geometry and Mirror Symmetry for the projective plane"
Mon, November 9, 2009 11:00AM - 12:00PM
| Time: | 11:00AM - 12:00PM |
| Location: | Simons Auditorium |
| Speakers: | Mark Gross, Mark Gross |
| Abstract: | I will explain how tropical geometry gives an attractive explanation for mirror symmetry in $P2$. The A-model computes quantum cohomology of $P2$, while the B-model involves oscillatory integrals on the mirror. I will show how tropical curves allow one to carry out the B-model calculations in such a way that it is clear these integrals yield counts of tropical curves. One bonus feature of this approach is that one also gets tropical formulas for genus zero gravitational descendent invariants for $P2$. |
