The school is organized for PhD students and postdocs interested in Geometric Measure Theory and Analysis in Metric Spaces. Special emphasis will be put on the theory of currents, isoperimetric and filling problems, and regularity theory. The school will be funded by the ERC Advanced Grant GeMeThnES, Geometric Measure Theory in non-Euclidean Spaces.

**Lecturers**

Dimitri Burago (Pennsylvania State University): From Asymptotic Volume of Tori to Minimal Surfaces in Normed Spaces and Boundary Rigidity, with a Few Digressions

Robert Hardt (Rice University): Rectifiable and Flat Chains and Charges in a Metric Space

Emanuele Spadaro (Hausdorff Center for Mathematics, Bonn): The Role of Multi-Valued Functions in the Regularity Theory of Minimal Currents

Robert Young (IHES, Paris): Asymptotics of Filling Problems

⇱ http://crm.sns.it/event/181/

**Jan 10, 2011:**

*9.00:*
Robert
Hardt
(Rice University):
*Rectifiable and Flat Chains and Charges in a Metric Space, I*

*10.00:*
Dmitri
Burago
(Pennsylvania State University):
*From Asymptotic Volume of Tori to Minimal Surfaces in Normed Spaces and Boundary Rigidity, with a Few Digressions, I*

*11.30:*
Robert
Young
(New York University):
*Asymptotics of Fillings Problems, I*

*3.00:*
Emanuele
Spadaro
(MPI Leipzig):
*The role of Multiple Valued Functions in the Regularity Theory of Minimal Currents, I*

*4.00:*
Robert
Hardt
(Rice University):
*Rectifiable and Flat Chains and Charges in a Metric Space, II*

**Jan 11, 2011:**

*9.00:*
Dmitri
Burago
(Pennsylvania State University):
*From Asymptotic Volume of Tori to Minimal Surfaces in Normed Spaces and Boundary Rigidity, with a Few Digressions, II*

*10.00:*
Robert
Young
(New York University):
*Asymptotics of Fillings Problems, II*

*11.30:*
Emanuele
Spadaro
(MPI Leipzig):
*The role of Multiple Valued Functions in the Regularity Theory of Minimal Currents, II*

*2.30:*
Robert
Hardt
(Rice University):
*Rectifiable and Flat Chains and Charges in a Metric Space, III*

*3.30:*
Dmitri
Burago
(Pennsylvania State University):
*From Asymptotic Volume of Tori to Minimal Surfaces in Normed Spaces and Boundary Rigidity, with a Few Digressions, III*

*4.50:*
Robert
Young
(New York University):
*Asymptotics of Fillings Problems, III*

**Jan 12, 2011:**

*9.00:*
Emanuele
Spadaro
(MPI Leipzig):
*The role of Multiple Valued Functions in the Regularity Theory of Minimal Currents, III*

*10.00:*
Robert
Hardt
(Rice University):
*Rectifiable and Flat Chains and Charges in a Metric Space, IV*

*11.30:*
Dmitri
Burago
(Pennsylvania State University):
*From Asymptotic Volume of Tori to Minimal Surfaces in Normed Spaces and Boundary Rigidity, with a Few Digressions, IV*

**Jan 13, 2011:**

*9.00:*
Robert
Young
(New York University):
*Asymptotics of Fillings Problems, IV*

*10.00:*
Emanuele
Spadaro
(MPI Leipzig):
*The role of Multiple Valued Functions in the Regularity Theory of Minimal Currents, IV*

*11.00:*
Dmitri
Burago
(Pennsylvania State University):
*From Asymptotic Volume of Tori to Minimal Surfaces in Normed Spaces and Boundary Rigidity, with a Few Digressions, V*

*2.30:*
Enrico
Le Donne
(ETH Zurich):
*Some new embedding results for subRiemannian manifolds*

*3.10:*
Sara
Daneri
(SISSA Trieste):
*A disintegration technique for locally affine partitions of $\mathbb{R}^d$ and related divergence formulas*

*3.50:*
Colin
Carroll
(Rice University):
*Currents and Differential Forms in Metric Spaces*

*4.50:*
Riikka
Korte
(University of Helsinki):
*The equivalence between the pointwise Hardy inequality and the uniform capacity density condition*

*5.30:*
Davide
Vittone
(Dip. Matematica, Univ. di Padova):
*Isodiametric sets in the Heisenberg group*

*6.10:*
Stefan
Suhr
(Regensburg University):
*Aubry-Mather Theory for Lorentzian Manifolds*

*6.50:*
Costante
Bellettini
(ETH Zurich):
*Some minimal integral currents in geometry: the calibrated ones*

**Jan 14, 2011:**

*9.00:*
Robert
Hardt
(Rice University):
*Rectifiable and Flat Chains and Charges in a Metric Space, V*

*10.00:*
Robert
Young
(New York University):
*Asymptotics of Fillings Problems, V*

*11.30:*
Emanuele
Spadaro
(MPI Leipzig):
*The role of Multiple Valued Functions in the Regularity Theory of Minimal Currents, V*

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