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 Otis Chodosh or Daniel Ketover.

Please click on seminar title for complete abstract.

September 28, 2016
3:00pm - 4:00pm
The degenerate special Lagrangian equation

I will discuss a degenerate form of the special Lagrangian equation that arises as the geodesic equation for the space of positive Lagrangians. Considering graph Lagrangians in Euclidean space, the equation reduces to a second order fully non-linear PDE for a single real function.

Location
Fine Hall 314
Speaker: Jake Solomon,
Hebrew University & Princeton University
October 5, 2016
3:00pm - 4:00pm
TBD - Christos Mantoulidis
Location
Fine Hall 314
Speaker: Christos Mantoulidis,
Stanford University
October 6, 2016
4:30pm - 6:00pm
Generated Jacobian equations and regularity: optimal transport, geometric optics, and beyond

PLEASE NOTE SPECIAL DAY, TIME AND LOCATION.  Equations of Monge-Amp{\`e}re type arise in numerous contexts, and solutions often exhibit very subtle properties; due to the highly nonlinear nature of the equation, and its degenerate ellipticity.

Location
Fine Hall 1001
Speaker: Jun Kitagawa,
Michigan State University
October 12, 2016
3:00pm - 4:00pm
TBD - Alexander Logunov
Location
Fine Hall 314
Speaker: Alexander Logunov ,
Tel Aviv University & St. Petersburg State University
October 19, 2016
3:00pm - 4:00pm
TBD - Mei-Chi Shaw
Location
Fine Hall 314
Speaker: Mei-Chi Shaw,
University of Notre Dame
October 26, 2016
3:00pm - 4:00pm
TBD - Nick Edelen
Location
Fine Hall 314
Speaker: Nick Edelen ,
MIT
November 9, 2016
3:00pm - 4:00pm
TBD - Jim Isenberg
Location
Fine Hall 314
Speaker: Jim Isenberg,
University of Oregon
November 16, 2016
3:00pm - 4:00pm
TBD - Chi Li
Location
Fine Hall 314
Speaker: Chi Li,
Purdue University
November 30, 2016
3:00pm - 4:00pm
TBD - Henri Roesch
Location
Fine Hall 314
Speaker: Henri Roesch,
Duke University
December 7, 2016
3:00pm - 4:00pm
TBD - Richard Bamler
Location
Fine Hall 314
Speaker: Richard Bamler,
University of California, Berkeley