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--- Summary ---

* Seminars by: Ghiraldin
* New papers by: Nayam, Ambrosio, Franzina, Buttazzo, De Pascale, De Philippis, Lamberti, Gori-Giorgi, Figalli, Colombo
* Modified papers by: Matthes, Enders, Topping, Müller, Mazzieri, Savaré, Mantegazza, Lussardi, Stefanelli, Catino, Haslhofer, Lisini, Eleuteri, Neel, Barilari, Boscain

--- Seminars next week ---

* Wednesday 30 may 2012
time: 17:00
Sala Seminari, Department of Mathematics, Pisa University

Metric currents and a functional of Mumford-Shah type in codimension higher than one
Francesco Ghiraldin (SNS Pisa)

Abstract.  I will introduce and study a new Mumford-Shah functional of codimension higher than one, in which the gradient is replaced by the distributional jacobian. Since only part of the classical GSBV theory can be adapted to our case, I will use the general framework of metric currents to define the "jump" part of the energy and to investigate the properties of currents of finite size. If time allows a variational approximation of the functional will be outlined.

--- New Papers ---

* Nayam: On some asymptotical shape problems

* Nayam: Asymptotics of an optimal compliance-network problem

* Buttazzo, De Pascale, Gori-Giorgi: Optimal-transport formulation of electronic density-functional theory

* Ambrosio, Colombo, De Philippis, Figalli: A global existence result for the semigeostrophic equations in three dimensional convex domains

* Franzina, Lamberti: Existence and uniqueness for $p$-Laplacian nonlinear eigenvalue problems

--- Modified Papers ---

* Enders, Müller, Topping: On Type I Singularities in Ricci flow

* Müller: Monotone Volume Formulas for Geometric Flows

* Haslhofer, Müller: A compactness theorem for complete Ricci shrinkers

* Catino, Mantegazza, Mazzieri: On the global structure of conformal gradient solitons with nonnegative Ricci tensor

* Müller: Ricci Flow Coupled with Harmonic Map Flow

* Eleuteri, Lussardi, Stefanelli: Thermal control of the Souza-Auricchio model for shape memory alloys

* Lisini, Matthes, Savaré: Cahn-Hilliard and Thin Film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics

* Barilari, Boscain, Neel: Small time heat kernel asymptotics at the sub-Riemannian cut locus

* Mantegazza, Müller: Perelman's Entropy Functional at Type I Singularities of the Ricci Flow