Differential Geometry & Geometric Analysis Seminar

The Differential Geometry and Geometry Analysis seminar sees talks most often about interactions between elliptic PDE's and differential geometry.  Common topics include (but are not limited to) conformal geometry, minimal surfaces and other variational problems, K\"ahler geometry, CR geometry, elliptic problems from general relativity, nonlinear and/or nonlocal elliptic or parabolic PDE's, and geometric functional inequalities.

Organizer(s): 

For more information about this seminar, contact Antonio Ache and Jeffrey Case.

Please click on seminar title for complete abstract.

Seminar Events

September 26, 2014
3:00pm - 4:00pm
Umbilicity and characterization of Pansu spheres in the Heisenberg group

For n≥2 we define a notion of umbilicity for hypersurfaces in the Heisenberg group H_{n}. We classify umbilic hypersurfaces in some cases, and prove that Pansu spheres are the only umbilic spheres with positive constant p(or horizontal)-mean curvature in H_{n} up to Heisenberg translations.

Location
Fine Hall 314
Speaker: Jih-Hsin Cheng ,
Academia Sinica, Taiwan
October 3, 2014
2:00pm - 3:00pm
Regularity of manifolds with bounded Ricci curvature and the codimension $4$ conjecture

This talk will concern joint work with Aaron Naber on the regularity of noncollapsed Riemannian manifolds $M^n$ with bounded Ricci curvature $|{\rm Ric}_{M^n}|\leq n-1$, as well as their Gromov-Hausdorff limit spaces, $(M^n_j,d_j)\stackrel{d_{GH}}{\longrightarrow}(X,d)$, where $d_j$ denotes the R

Location
Fine Hall 314
Speaker: Jeff Cheeger,
NYU
October 10, 2014
3:00pm - 4:00pm
TBA - Moeller
Location
Fine Hall 314
Speaker: Niels Moeller,
Princeton University
October 17, 2014
3:00pm - 4:00pm
TBA - Bellettini
Location
Fine Hall 314
Speaker: Costante Bellettini,
Cambridge University
November 7, 2014
3:00pm - 4:00pm
TBA - Lee
Location
Fine Hall 314
Speaker: John Lee,
University of Washington, Seattle
November 7, 2014
4:15pm - 5:15pm
TBA - Chodosh
Location
Fine Hall 314
Speaker: Ottis Chodosh,
Stanford University
November 21, 2014
3:00pm - 4:00pm
TBA - Zhu
Location
Fine Hall 314
Speaker: Jiuyi Zhu,
Johns Hopkins