Hidden Symmetries of Gromov-Witten Invariants

Alex Postnikov (MIT)

Room 2-338

16:15, Friday, September 26, 1997

Gromov-Witten invariants of flag manifolds generalize the intersection numbers of Schubert varieties (aka Littlewood-Richardson coefficients). Their study and explicit calculation is an important problem in quantum Schubert calculus. The aim of the talk is to present certain symmetries of these invariants under the action of cyclic groups. This allows one to calculate 1/n of all these invariants.