Courses

Sobolev spaces, optimal transport and heat flow in metric measure spaces
(4 lectures)
CIMECIRM course: New trends on Analysis and Geometry in Metric Spaces
Levico, June 2017

Optimal Transport
(15 lectures)
John von Neumann Lectures
TUM, Munich, May 2015

The Weighted EnergyDissipation (WED) principle for gradient flows
(4 lectures)
Gradient flows and entropy methods
HIM, Bonn, February 1720, 2015

Metric measure spaces with Riemannian Ricci curvature bounded from below
(6 lectures)
Analysis and Geometry on Singular Spaces
Scuola Normale Superiore, Pisa, June 913, 2014

Gradient flows and rateindependent evolutions: a variational approach
(6 lectures)
Seventh Summer School in Analysis and Applied Mathematics
Roma, June 1721, 2013

Energetic and BV solutions of rateindependent problems
(4 lectures)
Spring School on Rateindependent evolutions and hysteresis modelling
Milano, May 2731, 2013

A variational approach to rateindependent problems
(5 lectures)
Minicourses of Mathematical Analysis
Padova, June 1317, 2011
References

Gradient flows, optimal transport, and evolution PDEs
(6 lectures)
XXXV Scuola estiva di Fisica Matematica
Ravello, September 1318, 2010
Slides of the lectures

Applications of optimal transport to evolutionary PDEs
(5 lectures)
CNA Summer School on "New Vistas in Image Processing and PDEs"
Center for Nonlinear Analysis, Carnegie Mellon University, Pittsburgh, PA, June 712, 2010

Gradient flows and optimal transport
(5 lectures)
School and Workshop on "Optimal transport: Theory and applications"
Institut Fourier, Grenoble, June 1530, 2008

A variational approach to gradient flows and rateindependent problems
(4 lectures)
EVEQ2008
Prague, June 1620, 2008

Gradient flows in Wasserstein spaces and applications to the Quantum DriftDiffusion equation
(6 lectures)
The quantum drift diffusion equation and similiar PDE's: gradient flow structure and entropy methods
Wolfgang Pauli Institute (WPI), Vienna, June 1122, 2007

Gradient flows: a variational approach
(4 lectures)
School in Nonlinear Analysis and Calculus of Variations
Scuola Normale Superiore, Pisa, November 1722, 2006