Workshop I: Analysis on Metric Spaces

March 18 - 22, 2013

Schedule


Monday, March 18, 2013

9:00 - 9:50
Peter Petersen (University of California, Los Angeles (UCLA))

Generalized Doubling and Poincare/Sobolev Inequelities

10:15 - 11:05
11:30 - 12:20
Estibalitz Durand Cartagena (UNED)

Geometric implications of Poincaré inequalities
PDF Presentation

2:30 - 3:20
4:00 - 4:50
Hui-Chun Zhang (Sun Yat-Sen University)

Ricci curvature and Bochner formula on Alexandrov spaces
PDF Presentation


Tuesday, March 19, 2013

9:00 - 9:50
10:15 - 11:05
Tatiana Toro (University of Washington)

Regularity for almost minimizers with free boundary
PDF Presentation

11:30 - 12:20
2:30 - 3:20
4:00 - 4:50

Wednesday, March 20, 2013

9:00 - 9:50
10:15 - 11:05
Yuan Zhou (Beijing University of Aeronautics and Astronautics (Beihang University))

Geometry and Analysis of Dirichlet forms.

11:30 - 12:20
2:30 - 3:20
4:00 - 4:50

Thursday, March 21, 2013

9:00 - 9:50
Richard Bass (University of Connecticut)

A stability theorem for the elliptic Harnack inequality
PDF Presentation

10:15 - 11:05
11:30 - 12:20
Martin Huesmann (Rheinische Friedrich-Wilhelms-Universität Bonn)

Existence and uniqueness of optimal transport maps

2:30 - 3:20
4:00 - 4:50

Friday, March 22, 2013

9:00 - 9:30
Hrant Hakobyan (Kansas State University)

Frequency of dimension distortion under quasisymmetric mappings

9:45 - 10:15
Lizaveta Ihnatsyeva (University of Jyväskylä)

Traces of smooth functions on regular subsets
PDF Presentation

10:30 - 11:00
Naotaka Kajino (Kobe University)

Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpinski gasket
PDF Presentation

11:30 - 12:00
Yi Wang (Stanford University)

Isoperimetric inequality, Q-curvature and Ap-weights