Davood Nejaty (University of Melbourne)

Title: A topological mirror symmetry for pairs of commuting Higgs fields

Abstract: For a smooth projective complex curve C, a reductive group G and a pair of line bundles L_1 and L_2 on C such that L_1 ⊗ L_2 = K_C we introduce a moduli space of stable commuting Higgs bundles. Inspired by the Hausel-Thaddeus conjecture for Higgs bundles, we conjecture the equality of the E−polynomials for the moduli space of stable SL_n and PGL_n commuting Higgs bundles. The conjecture uses an equivariant localization. We prove the conjecture for n = 2 and even degree line

bundles L_1 and L_2.

Location: UQAM PK-5675