Workshop on Geometric Functionals: Analysis and Applications
March 4-8, 2019
The workshop covered more broadly current developments in several different geometric variational problems and their applications. Topics included harmonic maps, Willmore surfaces, Yamabe-type problems, geometric measure theory, systolic geometry, Einstein metrics and others.
Organizers:
The workshop was organized by Fernando Codá Marques (IAS/Princeton University)
Invited Speakers:
Claudio Arezzo, Jacob Bernstein, Gérard Besson, Alice Chang, Nancy Hingston, Lan-Hsuan Huang, Ernst Kuwert, Yanyan Li, Andrea Malchiodi, Alexander Nabutovsky, Tristan Riviere, Regina Rotman, Melanie Rupflin, Stéphane Sabourau, Michael Struwe, Peter Topping, Neshan Wickramasekera
Registered participants:
Ian Adelstein, Nicolau Aiex, Felippo Cagnetti, Da Rong Cheng, Sergey Grigorian, Esko Heinonen, Fritz Heismayr, Nina Kuznicki, Alessandro Pigati, Liangming Shen, Zahra Sinaei, Matthew James Stephenson, Ao Sun, Shengwen Wang, Zhichao Wang, Yongsheng Zhang, Yongzhe Zhang
Agenda:
|
| Date: | Monday, March 4 |
| Topic: | Singularities of Teichmueller harmonic map flow |
| Speaker: | Melanie Rupflin, University of Oxford |
| Time/Room: | 11:30am - 12:30pm/Simonyi Hall 101 VIDEO |
| Date: | Monday, March 4 |
| Topic: | Self-similar solutions of mean curvature flow and entropy |
| Speaker: | Jacob Bernstein, Johns Hopkins University; Member, School of Mathematics |
| Time/Room: | 2:30pm - 3:30pm/Simonyi Hall 101 |
| Date: | Monday, March 4 |
| Topic: | CMC foliations and Apparent Horizons in Cauchy data for Einstein Equations |
| Speaker: | Claudio Arezzo, Università degli Studi di Parma |
| Time/Room: | 4:00pm - 5:00pm/Simonyi Hall 101 VIDEO |
| Date: | Tuesday, March 5 |
| Topic: | L^p curvatures : some analysis questions from gauge theory |
| Speaker: | Tristan Rivière, ETH Zürich; Member, School of Mathematics |
| Time/Room: | 10:00am - 11:00am/Simonyi Hall 101 VIDEO |
| Date: | Tuesday, March 5 |
| Topic: | Spacetime positive mass theorem |
| Speaker: | Lan-Hsuan Huang, University of Connecticut; von Neumann Fellow, School of Mathematics |
| Time/Room: | 11:30am - 12:30pm/Simonyi Hall 101 VIDEO |
| Date: | Tuesday, March 5 |
| Topic: | Periodic Geodesics and Geodesic Nets on Riemannian Manifolds |
| Speaker: | Regina Rotman, University of Toronto; Member, School of Mathematics |
| Time/Room: | 2:30pm - 3:30pm/Simonyi Hall 101 VIDEO |
|
|||||||||
| Date: | Wednesday, March 6 |
| Topic: | Normalized harmonic map flow |
| Speaker: | Michael Struwe, ETH Zürich |
| Time/Room: | 10:00am - 11:00am/Simonyi Hall 101 VIDEO |
| Date: | Wednesday, March 6 |
| Topic: | Loop products, closed geodesics and self-intersections |
| Speaker: | Nancy Hingston, The College of New Jersey |
| Time/Room: | 11:30am - 12:30pm/Simonyi Hall 101 VIDEO |
| Date: | Wednesday, March 6 |
| Topic: | Nature of some stationary varifolds near multiplicity 2 tangent planes |
| Speaker: | Neshan Wickramasekera, University of Cambridge; Member, School of Mathematics |
| Time/Room: | 2:00pm - 3:00pm/Simonyi Hall 101 VIDEO |
| Date: | Wednesday, March 6 |
| Topic: | Existence and uniqueness of Green's function to a nonlinear Yamabe problem |
| Speaker: | Yanyan Li, Rutgers University |
| Time/Room: | 3:00pm - 4:00pm/Simonyi Hall 101 VIDEO |
| Date: | Thursday, March 7 |
| Topic: | Compactness and finiteness theorems (almost) without curvature |
| Speaker: | Gerard Besson, Université de Grenoble |
| Time/Room: | 10:00am - 11:00am/Simonyi Hall 101 VIDEO |
| Date: | Thursday, March 7 |
| Topic: | One-cycle sweepout estimates of essential surfaces in closed Riemannian manifolds |
| Speaker: | Stéphane Sabourau, Université Paris-Est Créteil |
| Time/Room: | 11:30am - 12:30pm/Simonyi Hall 101 VIDEO |
| Date: | Thursday, March 7 |
| Topic: | L2 curvature for surfaces in Riemannian manifolds |
| Speaker: | Ernst Kuwert, University of Freiburg |
| Time/Room: | 2:30pm - 3:30pm/Simonyi Hall 101 VIDEO |
| Date: | Friday, March 8 |
| Topic: | Ricci flows that attain their initial data weakly |
| Speaker: | Peter Topping, University of Warwick |
| Time/Room: | 10:00am - 11:00am/Simonyi Hall 101 VIDEO |
| Date: | Friday, March 8 |
| Topic: | Filling metric spaces |
| Speaker: | Alexander Nabutovsky, University of Toronto; Member, School of Mathematics |
| Time/Room: | 11:30am - 12:30pm/Simonyi Hall 101 VIDEO |