Anton Mellit

Dubrovin's Conjecture for IG(2, 6)

We show that the big quantum cohomology of the symplectic isotropic Grassmanian

Poincar\'e polynomials of moduli spaces of Higgs bundles and character varieties (no punctures)

IG(2,6)

Derived categories of Keum's fake projective planes

is generically semisimple, whereas its small quantum cohomology is known to be non-semisimple. This gives yet another case where Dubrovins conjecture holds and stresses the need to consider the big quantum cohomology in its formulation.