Insalate di Matematica: Letizia Branca

Riemannian functionals and critical metrics in dimension four and beyond
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Wednesday 30 April 2025 at 4:30 pm, as part of the Insalate di Matematica seminar cycle, Letizia Branca (University of Milano) will give the following talk

Title: Riemannian functionals and critical metrics in dimension four and beyond

Abstract: Many of the so-called canonical (or special) metrics arise as critical points of suitable Lp-norms of the components of the Riemann curvature tensor. This object encodes the geometry of the manifold and, in dimension 4, it admits a peculiar decomposition. Throughout the talk, we will explore some known results and open problems concerning Riemannian functionals and critical metrics in dimension 4 and beyond. In particular we will focus on optimal pinching results for Einstein manifolds.

Keywords: Riemannian functionals, canonical metrics, Einstein manifolds

Information to attend

The seminar will be held in Room 3014 (3rd Floor) - U5 Building, University of Milano-Bicocca and will also be available online by this link (password: insalate, 46725283 from phones)

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