Estás viendo actualmente el perfil de Neshan Wickramasekera. Vuelve al Historial para mostrar todas las conferencias o realiza una nueva búsqueda

Conferencias impartidas por Neshan Wickramasekera

A regularity and compactness theory for prescribed-mean-curvature hypersurfaces

Universidad de Cambridge

The talk will survey progress over the past several years (most recent of which joint work with Costante Bellettini) on the question of regularity and compactness for a large class of uniformly area bounded, mean curvature controlled hypersurfaces (codimension 1 integral varifolds) of a Riemannian manifold. Subject to the requirements that the orientable embedded parts of the hypersurfaces have mean curvature prescribed by an ambient \(C^{1, \alpha}\) function \(g\) and have Morse index (with respect to the relevant functional determined by \(g\) ) bounded uniformly, and additionally that the hypersurfaces satisfy two necessary structural conditions, the work provides a sharp size upper bound for the singular set \(S\) which says that \(S\) has codimension at least 7. In the case that \(g\) is a constant and the hypersurface is weakly stable, curvature estimates (joint work with Costante Bellettini and Otis Chodosh) follow a posteriori. The theory to be discussed builds on, generalises and unifies the pioneering work in regularity theory of many including De Giorgi, Federer, Almgren, Simons (on locally area minimizing currents), and Schoen-Simon-Yau and Schoen-Simon (on stable hypersurfaces with small singular sets) dating back to the period 1960-1980.

Aula de Fisymat, planta baja de Matemáticas

Neshan Wickramasekera

Universidad de Cambridge (Reino Unido)

Conferencias impartidas
1
Visitas al departamento
1
Última visita
Página web personal

¿Los datos no son correctos? Por favor, contacta con nosotros para solucionarlo.