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UID:20250624T015927EDT-2177vXIVzj@132.216.98.100
DTSTAMP:20250624T055927Z
DESCRIPTION:Title: A topological mirror symmetry for pairs of commuting Hig
gs fields\n\nAbstract: For a smooth projective complex curve C\, a reducti
ve group G and a pair of line bundles L_1 and L_2 on C such that L_1 鈯� L_2
= K_C we introduce a moduli space of stable commuting Higgs bundles. Insp
ired by the Hausel-Thaddeus conjecture for Higgs bundles\, we conjecture t
he equality of the E鈭抪olynomials for the moduli space of stable SL_n and P
GL_n commuting Higgs bundles. The conjecture uses an equivariant localizat
ion. We prove the conjecture for n = 2 and even degree line\n\nbundles L_1
and L_2.\n\nLocation: UQAM PK-5675\n
DTSTART:20250430T180000Z
DTEND:20250430T190000Z
SUMMARY:Davood Nejaty (University of Melbourne)
URL:/mathstat/channels/event/davood-nejaty-university-
melbourne-365189
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