[CvGmt News] CVGMT weekly bulletin

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--- Summary ---

* Seminars by: Mazzieri
* New papers by: Bonforte, Figalli, Barles, Cesaroni, Novaga, Chambolle, Morini, Ponsiglione, Chiodaroli, Chiodaroli, Magnani, Magnani, Magnani, Rajala
* Modified papers by: Bardi, Terrone, Ansini, Zeppieri

--- Seminars next week ---

* Wednesday 25 jan 2012
time: 17:00
Sala Seminari, Department of Mathematics, University of Pisa

Gradient Einstein solitons
Lorenzo Mazzieri (SISSA Trieste)

Abstract. Einstein solitons are self-similar solutions to the geometric flow

dg/dt = - 2 Ric + R g ,

where Ric and R are respectively the Ricci tensor and the 
scalar curvature of the metric g.
A gradient Einstein soliton corresponds to a Riemannian 
manifold (M,g) such that there exists a smooth function f 
satisfying

Ric - (R/2) g  + Hess(f) = c g,

for some real number c. We will prove that if grad(f) is not 
parallel (in which case the soliton is trivial), then there 
exists a real function h such that f(p) = h(r(p)), where r is 
the signed distance to a fixed regular level set of f. When 
this happens, the soliton is said to be rectifiable. In the 
second part of the seminar we will present some of the 
geometric consequences of the rectifiability.


--- New Papers ---

* Bonforte, Figalli: Total Variation Flow and Sign Fast Diffusion in one dimension

* Barles, Cesaroni, Novaga: Homogenization of fronts in highly heterogeneous media

* Chambolle, Morini, Ponsiglione: A Non-Local Mean Curvature Flow and its semi-implicit time-discrete approximation

* Chiodaroli: A COUNTEREXAMPLE TO WELL-POSEDNESS OF ENTROPY SOLUTIONS TO THE COMPRESSIBLE EULER SYSTEM

* Chiodaroli: A DISSIPATIVE MODEL FOR HYDROGEN STORAGE: EXISTENCE AND REGULARITY RESULTS

* Magnani: Elements of Geometric Measure Theory on sub-Riemannian groups

* Magnani: Convexity in Carnot groups 

* Magnani, Rajala: Radon-Nikodym property and area formula for Banach homogeneous  group targets

--- Modified Papers ---

* Bardi, Terrone: On the Homogenization of some Non-coercive Hamilton--Jacobi--Isaacs Equations

* Ansini, Zeppieri: Asymptotic analysis of non symmetric linear operators via Gamma-convergence