|Speaker:||Todor Milanov (Kavli IPMU)|
|Title:||W-constraints for the total descendant potential of a simple singularity|
|Date (JST):||Thu, Sep 13, 2012, 15:30 - 17:00|
|Place:||Seminar Room A|
Using period integrals we construct a representation of a certain infinite-dimensional Lie algebra. Our main motivation is to use the representation in order to characterize the generating function of the so called FJRW-invariants. The latter are generalization of the intersection numbers on the moduli space of curves, which according to a conjecture of Witten proved by Kontsevich, can be characterized with the Virasoro algebra.
In my lecture, I will explain our construction and some of its key properties that allowed us to prove our result. The main theorem can be formulated for any singularity, however it is still quite challenging to generalize the proof. In the second part of the lecture, I would like to explain several steps in our proof that rely on the assumption that the singularity is simple.