Conference on Geometric and Nonlinear Partial Differential Equations

5–9 February 2018

This conference will demonstrate and strengthen connections between geometric analysis and nonlinear partial differential equations. We focus on new advances in several related themes, which include variational problems, evolution equations, complex differential geometry, and nonlinear equations arising in geometry and physics. It is the aim of the conference to bring together international leading mathematicians and provide participants an opportunity to exchange ideas and foster/enhance collaborations.

This is a major activity of the ANU special year on Geometric Analysis and Nonlinear PDE, and also a joint event of ANU,BICMR,PIMS and USYD.

Scientific Committee

Ben Andrews, Jingyi Chen, Gang Tian, Neil Trudinger, Xu-Jia Wang, Zhou Zhang

Organising Committee

Insurance

Registration fees do not include insurance of any kind. It is strongly recommended that all delegates take out their own travel and medical insurance prior to coming to the Conference. The policy should include loss of fees/deposit through cancellation of your participation in the Conference, or through cancellation of the Conference itself, loss of airfares for any reason, medical expenses, loss or damage to personal property, additional expenses and repatriation should travel arrangements have to be altered. Neither the conference organisers nor the organising committee will take any responsibility for any participant failing to insure. Please speak to your travel agent or airline in regard to this matter.

Accessibility

We hope to make the conference as accessible and inclusive as possible. Please contact us to advise of any accessibility requirements.

Partners & sponsors

Sessions

5 February 2018
Time Session
8.50am
Opening remarks
9.00am
Nonlinear elliptic problems which admit solutions with cylindrical tangents at isolated singular points
Leon Simon
9.50am
Strong rigidity for asymptotically hyperbolic Einstein manifolds
Jie Qing
10.35am
Morning tea
11.00am
Complex Monge-Ampère operator for plurisubharmonic functions with analytic singularities
Zbigniew Blocki
11.50am
Einstein 4-manifolds with pinched sectional curvature
Xiaodong Cao
12.35pm
Lunch
2.00pm
The space of compact shrinkers along Lagrangian mean curvature flow in the complex plane
Jingyi Chen
2.50pm
Non-convex superlevel sets of Robin eigenfunctions
Daniel Hauer
3.20pm
Continuity of the optimal transport for Monge's original cost
Qi-Rui Li
3.50pm
Afternoon tea
6.00pm
Dinner
6 February 2018
Time Session
9.00am
Stability results for some moving interface problems
Nicola Fusco
9.50am
Hearing the shape of a trapezoid by its eigenvalues
Zhiqin Lu
Morning tea
11.00am
Non-Kahler Ricci flow singularities that converge to Kahler--Ricci solitons
Natasa Sesum
11.50am
On the limit of Kahler metrics under La Nave-Tian continuity method
Zhenlei Zhang
12.35pm
Lunch
3.00pm - 5.00pm
Excursion to Birdland
5.00pm
Afternoon tea
5.30pm
Dinner
7 February 2018
Time Session
9.00am
On Concavity of the Monopolist's Problem Facing Consumers with Nonlinear Price Preferences
Robert McCann
9.50am
Estimates for collapsing Ricci-flat metrics
Valentino Tosatti
10.35am
Morning tea
11.00am
Minkowski Problems of Geometric Measures
Gaoyong Zhang
11.50am
Properness of energy functionals on polarized compacti cations of reductive Lie groups
Bin Zhou
12.35pm
Lunch
2.00pm
Reconstruction by optimal transport: applications in cosmology and finance
Gregoire Loeper
2.50pm
An introduction to quaternionic Monge-Ampre equation and viscosity approach
Dongrui Wan
3.20pm
The sphere theorem for compact submanifolds inspired by Ejiri's rigidity theorem
Juanru Gu
3.50pm
Afternoon tea
6.00pm
Dinner
8 February 2018
Time Session
9.00am
Weak solutions of m-Hessian equations
Slawomir Kolodziej
9:50am
Construction of ancient solutions of the Ricci flow on torus bundles
Peng Lu
10:35am
Morning tea
11:00am
Weinstock inequality in higher dimensions
Vincenzo Ferone
11:50am
Continuum Nash Bargaining Solutions
Micah Warren
12:35am
Lunch
2:00pm
Motion of hypersurfaces by harmonic mean curvature
Ben Andrews
2:50pm
The existence of Kahler-Einstein metrics on K-polystable Q-Fano varieties with nonpositive discrepancies
Feng Wang
3:10pm
The Structure of Noncollapsing Ricci Limit Spaces
Wenshuai Jiang
3:50pm
Afternoon tea
6:30pm
Dinner
9 February 2018
Time Session
9.00am
Fully Nonlinear Geometric Flows
Panagiota Daskalopoulos
9.50am
Singular solutions to an elliptic equation with a sign-changing nonlinearity
Florica Cîrstea
10.35am
Morning tea
11.00am
The gauge xing theorem with applications to the Yang-Mills flow over Riemannian manifolds
Minchun Hong
11.50am
Desingularizing minimal surfaces
Martin Li
12.35pm
Lunch
2.00pm
Convexity of nonnegatively curved hypersurfaces with free boundary on a sphere
Changwei Xiong
2.30pm
Neck detection for a 2-convex hypersurface undergoing exterior flows
Alexander Majchrowski
3.00pm
Stability results on the smoothness of optimal transport maps with general costs
Shibing Chen
3.50pm
Afternoon tea
6.30pm
Dinner

Registration date

26 Oct 2017 to 29 Jan 2018

Registration Cost

General: $250

AMSI/AustMS member: $200

Student/Retired Fellow: $160

Birdland excursion (Optional): $26 

*** Registration includes all meals at Murramurang. Accommodation costs are not included in the registration.

We've made a block booking for our conference participants at Murramurang, which includes a 15% discount. If you would like to book accommodation at Murramurang, please send an email to macarena.rojas@anu.edu.au

Please note that accommodation in Murramurang is based on shared villas with private bathrooms. 

Financial support

This event is sponsored by the Australian Mathematical Sciences Institute (AMSI). AMSI allocates a travel allowance annually to each of its member universities. Students or early career researchers from AMSI member universities without access to a suitable research grant or other source of funding may apply to the Head of Mathematical Sciences for subsidy of travel and accommodation out of the departmental travel allowance.

Read more about the AMSI travel funding.

Address

Murramarang Beachfront Resort Mill Beach
Banyandah Street
South Durras, NSW 2536

About Murramurang

NRMA Murramarang Beachfront Holiday Resort is located sits at the south end of the coastal town of South Durras, a little over 2 hours from Canberra and 4 hours from Sydney. Just 15 minutes south is the major coastal town Batemans Bay for shopping and supplies. 

How to get there

From Canberra:

Murrays bus has a daily service, leaving at 7.30am from Jolimont Centre and arriving to Promenade Plaza, Orient Street, Batemans Bay at 9.55am.

View Murrays bus timetable

Once in Batemans bay, it’s only a short 20 min taxi drive to the resort (approx. cost $40). Batemans bay taxi service has a taxi rank in Orient street.

From Sydney:

Premier Motor Service provides two daily services to Batemans Bay, leaving from Sydney airport and Sydney University at 9.25am, and at 3.45pm. Once in Batemans bay, it’s only a short 20 min taxi drive to the resort (approx. cost $40). Batemans bay taxi service has a taxi rank in Orient street.

Visas

International visitors to Australia require a visa or an electronic travel authority (ETA) prior to arrival. It is your responsibility to ensure documentation is correct and complete before you commence your journey. For information on obtaining visas and ETAs.

Map

Macarena Rojas
+61 2 6125 1157