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: Compactness of conformally compact Einstein manifolds in dimension 4
Speaker: Alice Chang, Princeton University
Time/Room: 10:00am - 11:00am/Simonyi Hall 101 VIDEO
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: Tuesday, March 5
Topic: Liouville Equations and Functional Determinants
Speaker: Andrea Malchiodo, Scuola Normale Superiore
Time/Room: 4:00pm - 5:00pm/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

Registration was required.

Registration for the meals and workshop were required.

Although there is no registration fee, because seating is limited both in the seminar room and in our dining hall, you are required to register if you wish to attend all or part of the workshop. In addition, in order for our chef to prepare enough food, we need to have a headcount for the meals. Please note the workshop attendees are expected to pay for their lunch. Approximate range of prices are 4.00 for a salad to 9.00 for an entree. Vegetarian lunches will be available. Only cash is accepted at the cash registers. Credit cards and personal checks are not accepted.

Travel Information:

Directions to IAS (driving, train and plane): https://www.ias.edu/about/maps-directions

Places to Stay:

  • The Peacock Inn (1.5 miles from IAS) 20 Bayard Lane, Pirnceton, NJ 08540 - 609-924-1707
  • Nassau Inn (1.6 miles from IAS) 10 Palmer Square, Princeton, NJ 08542 - 609-921-7500
  • Hyatt Regency (3.1 miles from IAS) 102 Carnegie Center Drive, Princeton, NJ 08540 - 609-987-1234
  • Marriott Residence Inn (3.7 miles from IAS) 3563 US Route 1, Princeton, NJ 08540 - 609-799-0550
  • Hyatt Place (3.8 miles from IAS) 3565 US Highway 1, Princeton, NJ 08540 - 609-720-0200
  • Extended Stay America (4.4 miles from IAS) 3450 US Highway 1, Princeton, NJ 08540 - 609-919-9000
  • Courtyard Marriott (5.3 Miles from IAS) 3815 US Highway 1 at Mapleton Road, Princeton, NJ 08540 - 609-716-9100
  • Homewood Suites (5.7 miles from IAS) 3819 US Highway 1, Princeton, NJ 08540 - 609-720-0550
  • DoubleTree (5.9 miles from IAS) 4355 US Highway 1, Princeton, NJ 08540 - 609-452-2400

Please inquire with the hotel if they offer shuttle service to the local Princeton area.

Date & Time

March 04, 2019 | 10:00am – March 08, 2019 | 12:00pm

Categories