Workshop I: Analysis on Metric Spaces - IPAM

Workshop I: Analysis on Metric Spaces

Part of the Long Program Interactions Between Analysis and Geometry
March 18 - 22, 2013

Schedule

All times in this Schedule are Pacific Time (PT)

Monday, March 18, 2013

Morning Session

08:00-08:55
Check-In/Light Breakfast (Hosted by IPAM)
08:55-09:00
Welcome and Opening Remarks
09:00-09:50
Peter Petersen (University of California, Los Angeles (UCLA))
Generalized Doubling and Poincare/Sobolev Inequelities
10:00-10:15
Break
10:15-11:05
Luigi Ambrosio (Scuola Normale Superiore)
Sobolev and BV functions on metric measure spaces and weak gradients
11:15-11:30
Break
11:30-12:20
Estibalitz Durand Cartagena (UNED)
Geometric implications of Poincaré inequalities

Afternoon Session

12:30-14:30
Lunch (on your own)
14:30-15:20
Tapio Rajala (University of Jyväskylä)
Branching geodesics in metric spaces with Ricci curvature lower bounds
15:30-16:00
Break
16:00-16:50
Hui-Chun Zhang (Sun Yat-Sen University)
Ricci curvature and Bochner formula on Alexandrov spaces
17:00-06:30
Reception (Location: IPAM Lobby)

Tuesday, March 19, 2013

Morning Session

08:00-09:00
Continental Breakfast
09:00-09:50
Karl Sturm (Universität Bonn)
On Curvature-Dimension Condition and Bochners Inequality for Metric Measure Spaces
10:00-10:15
Break
10:15-11:05
Tatiana Toro (The Simons Laufer Mathematical Sciences Institute)
Regularity for almost minimizers with free boundary
11:15-11:30
Break
11:30-12:20
Fabio Cavalletti (RWTH Aachen)
Decomposition of Wasserstein Geodesics in spaces with lower curvature bound

Afternoon Session

12:30-14:30
Lunch (on your own)
14:30-15:20
Nicola Gigli (Université de Nice Sophia Antipolis)
Analytic tools for the study of spaces with Ricci curvature bounded from below
15:30-16:00
Break
16:00-16:50
Rafe Mazzeo (Stanford University)
Critical exponent semilinear elliptic problems on certain metric-measure spaces

Wednesday, March 20, 2013

Morning Session

08:00-09:00
Continental Breakfast
09:00-09:50
Jun Kigami (Kyoto University)
Analysis on Metric-Measure spaces -- Cheeger energy and measurable Riemannian structure
10:00-10:15
Break
10:15-11:05
Yuan Zhou (Beijing University of Aeronautics and Astronautics (Beihang University))
Geometry and Analysis of Dirichlet forms.
11:15-11:30
Break
11:30-12:20
Andrea Mondino (Scuola Normale Superiore)
Some relations between $CD^*(K,N)$, the dimensional Bakry-Emery condition and the EVI property of gradient flows

Afternoon Session

12:30-14:30
Lunch (on your own)
14:30-15:20
Nicola Garofalo (Purdue University)
Frequency of harmonic functions in Carnot groups and for operators of Baouendi type
15:30-16:00
Break
16:00-16:50
Assaf Naor (Princeton University)
Calculus for nonlinear spectral gaps and super-expanders

Thursday, March 21, 2013

Morning Session

08:00-09:00
Continental Breakfast
09:00-09:50
Richard Bass (University of Connecticut)
A stability theorem for the elliptic Harnack inequality
10:00-10:15
Break
10:15-11:05
Jana Bjorn (Linköping University)
Fine topology by means of potential theory on metric spaces
11:15-11:30
Break
11:30-12:20
Martin Huesmann (Rheinische Friedrich-Wilhelms-Universität Bonn)
Existence and uniqueness of optimal transport maps

Afternoon Session

12:30-14:30
Lunch (on your own)
14:30-15:20
Enrico Le Donne (ETH Zürich)
Metric spaces with unique and uniformly close tangents and their metric dimensions
15:30-16:00
Break
16:00-16:50
Riikka Korte (University of Helsinki)
Quasiconformality and uniform density property in metric spaces

Friday, March 22, 2013

Morning Session

08:00-09:00
Continental Breakfast
Junior Participant Presentations
09:00-09:30
Hrant Hakobyan (Kansas State University)
Frequency of dimension distortion under quasisymmetric mappings
09:30-09:45
Break
09:45-10:15
Lizaveta Ihnatsyeva (Kansas State University)
Traces of smooth functions on regular subsets
10:15-10:30
Break
10:30-11:00
Naotaka Kajino (Kobe University)
Weyl's Laplacian eigenvalue asymptotics for the measurable Riemannian structure on the Sierpinski gasket
11:15-11:30
Break
11:30-12:00
Yi Wang (Stanford University)
Isoperimetric inequality, Q-curvature and Ap-weights

Afternoon Session

12:00-12:00
Conclusion
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