[CvGmt News] CVGMT weekly bulletin

[web at cvgmt.sns.it]

Weekly bulletin of http://cvgmt.sns.it/

--- Summary ---

* Seminars by: Mantegazza
* New papers by: Barles, Mantegazza, Rimoldi, Freddi, Zanini, Tamanini, Briani, Chasseigne , Roubicek
* Modified papers by: Ambrosio, Chambolle, Jerrard, Freddi, De Philippis, Roubicek, Paroni, Lussardi, Camilli, Zanini, Orlandi, Savaré, Soner, Brasco, Briani, Dal Maso, Ruffini, Dumouchel, Bargellini, Lisini, Marigo, Lazzaroni, Gigli, Zidani, Baldo, Paolini, Novaga, Solombrino

--- Seminars next week ---

* Wednesday 28 mar 2012
time: 17:00
Sala Seminari, Department of Mathematics, Pisa University

A density function for the Ricci Flow
Carlo Mantegazza (SNS Pisa)

Abstract. Inspired by the density function for mean curvature flow introduced by A. Stone and based on Huisken's monotonicity formula, we define a similar quantity for the Ricci flow, related to the monotonicity of Perelman's W-functional. We discuss its connections with the singularities in the "Type-I case" and we give an alternative proof of the result of Enders, Mueller and Topping that around a type-one singular point, blowing-up the flow in a suitable way, one obtains a shrinking gradient Ricci soliton in the geometric limit (in every dimension). In perspective, this line of analysis could work also for general singular points (also type-II) in dimension two and three (and very hopefully four). This would give another and more natural method to get an asymptotic shrinking gradient Ricci soliton, alternative to Perelman's blow-up/blow-down procedure.

--- New Papers ---

* Tamanini: Regularity results for almost minimal oriented hypersurfaces in $\mathbb R^N$

* Freddi, Roubicek, Zanini: Quasistatic delamination of sandwich-like Kirchhoff-Love plates

* Mantegazza, Rimoldi: The Cotton tensor and the Ricci flow

* Barles, Briani, Chasseigne : A Bellman approach for two-domains optimal control problems in $R^N$. 

--- Modified Papers ---

* Novaga, Paolini: Regularity results for boundaries in ${\mathrm R}^2$ with prescribed anisotropic curvature

* Briani, Camilli, Zidani: Approximation of monotone systems of nonlinear second order partial differential equations: convergence and error estimate

* Freddi, Paroni, Roubicek, Zanini: Quasistatic delamination models for Kirchhoff-Love plates

* Chambolle, Lisini, Lussardi: A remark on the anisotropic outer Minkowski content

* Baldo, Jerrard, Orlandi, Soner: Convergence of Ginzburg-Landau functionals in 3-d superconductivity

* Ambrosio, Gigli, Savaré: Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces

* Brasco, De Philippis, Ruffini: Spectral optimization for the Stekloff--Laplacian: the stability issue

* Dal Maso: Generalised functions of bounded deformation

* Bargellini, Dumouchel, Lazzaroni, Marigo: On the role of kinetic energy during unstable propagation in a heterogeneous peeling test

* Solombrino: Quasistatic evolution in perfect plasticity for generalized multiphase materials.