Seminari: Andrea Galasso e Alberto Roncoroni

Quantization Commutes with Reduction on CR Manifolds / Stable Minimal hypersurfaces: old and new

Giovedì 14 Novembre dalle ore 14:00 in Aula 2109 (2° Piano) - Edificio U5, Andrea Galasso (UniMiB) e Alberto Roncoroni (PoliMi) terranno i seguenti seminari

Relatore: Andrea Galasso

Titolo: Quantization Commutes with Reduction on CR Manifolds

Abstract: We consider a compact, torsion-free CR manifold that admits an action by a compact Lie group. Given an equivariant rigid CR line bundle, it is natural to study the space of invariant CR sections onto which a particular weighted invariant Fourier–Szegő operator projects. Under natural assumptions, we show that the group-invariant Fourier–Szegő projector admits a full asymptotic expansion. As an application, if the tensor power of the line bundle is sufficiently large, we prove that quantization commutes with reduction. This is joint work with Chin-Yu Hsiao.

Relatore: Alberto Roncoroni

Titolo: Stable Minimal hypersurfaces: old and new

Abstract: In this talk I will present an overview on the classification problem for stable minimal hypersurfaces in the Euclidean space, starting from the fundamental work of Bernstein about entire graphs, passing through the work of Schoen-Simon-Yau up to the recent advancements.

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