Seminars: Andrea Galasso and Alberto Roncoroni

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

Thursday 14 November from 2 pm in Room 2109 (2nd Floor) - U5 Building, Andrea Galasso (UniMiB) and Alberto Roncoroni (PoliMi) will hold the following seminars

Speaker: Andrea Galasso

Title: 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.

Speaker: Alberto Roncoroni

Title: 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.

All interested are invited to participate

Argomento