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Friday, February 12, 2021

Friday, February 12, 2021 — 2:30 PM EST

Siqi He, Simons Center, Stony Brook

"The compactness problem for the Hitchin-Simpson equations"

The Hitchin-Simpson equations defined over a Kähler manifold are first order, non-linear equations for a pair of a connection on a Hermitian vector bundle and a 1-form with values in the endomorphism bundle. We will describe the behavior of solutions to the Hitchin–Simpson equations with norms of these 1-forms unbounded. We will also discuss the deformation problem of Taubes' Z2 harmonic 1-form.

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