Conference on Geometric and Nonlinear Partial Differential Equations

5-9 February - South Durras, NSW

Home

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

Sponsors

University of Sydney logo
AMSI logo
AUSTMS logo

Sessions

Monday 5th

8.50am

Opening remarks

9.00am

Leon Simon

Nonlinear elliptic problems which admit solutions with cylindrical tangents at isolated singular points

9.50am

Jie Qing

Strong rigidity for asymptotically hyperbolic Einstein manifolds

10.35am

Morning tea

11.00am

Zbigniew Blocki

Complex Monge-Ampère operator for plurisubharmonic functions with analytic singularities

11.50am

Xiaodong Cao

Einstein 4-manifolds with pinched sectional curvature

12.35pm

Lunch

2.00pm

Jingyi Chen

The space of compact shrinkers along Lagrangian mean curvature flow in the complex plane

2.50pm

Daniel Hauer

Non-convex superlevel sets of Robin eigenfunctions

3.20pm

Qi-Rui Li

Continuity of the optimal transport for Monge's original cost

3.50pm

Afternoon tea

6.00pm

Dinner

Tuesday 6th

9.00am

Nicola Fusco

Stability results for some moving interface problems

9.50am

Zhiqin Lu

Hearing the shape of a trapezoid by its eigenvalues

10.35am

Morning tea

11.00am

Natasa Sesum

Non-Kahler Ricci flow singularities that converge to Kahler--Ricci solitons

11.50am

Zhenlei Zhang

On the limit of Kahler metrics under La Nave-Tian continuity method

12.35pm

Lunch

3.00pm - 5.00pm

Excursion to Birdland

5.00pm

Afternoon tea

5.30pm

Dinner

Wednesday 7th

9.00am

Robert McCann

On Concavity of the Monopolist's Problem Facing Consumers with Nonlinear Price Preferences

9.50am

Valentino Tosatti

Estimates for collapsing Ricci-flat metrics

10.35am

Morning tea

11.00am

Gaoyong Zhang

Minkowski Problems of Geometric Measures

11.50am

Bin Zhou

Properness of energy functionals on polarized compacti cations of reductive Lie groups

12.35pm

Lunch

2.00pm

Gregoire Loeper

Reconstruction by optimal transport: applications in cosmology and finance

2.50pm

Dongrui Wan

An introduction to quaternionic Monge-Ampre equation and viscosity approach

3.20pm

Juanru Gu

The sphere theorem for compact submanifolds inspired by Ejiri's rigidity theorem

3.50pm

Afternoon tea

6.00pm

Dinner

Thursday 8th

9.00am

Slawomir Kolodziej

Weak solutions of m-Hessian equations

9.50am

Peng Lu

Construction of ancient solutions of the Ricci flow on torus bundles

10.35am

Morning tea

11.00am

Vincenzo Ferone

Weinstock inequality in higher dimensions

11.50am

Micah Warren

Continuum Nash Bargaining Solutions

12.35pm

Lunch

2.00pm

Ben Andrews

Motion of hypersurfaces by harmonic mean curvature

2.50pm

Feng Wang

The existence of Kahler-Einstein metrics on K-polystable Q-Fano varieties with nonpositive discrepancies

3.10pm

Wenshuai Jiang

The Structure of Noncollapsing Ricci Limit Spaces

3.50pm

Afternoon tea

6.30pm

Dinner

Friday 9th

9.00am

Panagiota Daskalopoulos

Fully Nonlinear Geometric Flows

9.50am

Florica Cîrstea

Singular solutions to an elliptic equation with a sign-changing nonlinearity

10.35am

Morning tea

11.00am

Minchun Hong

The gauge xing theorem with applications to the Yang-Mills flow over Riemannian manifolds

11.50am

Martin Li

Desingularizing minimal surfaces

12.35pm

Lunch

2.00pm

Changwei Xiong

Convexity of nonnegatively curved hypersurfaces with free boundary on a sphere

2.30pm

Alexander Majchrowski

Neck detection for a 2-convex hypersurface undergoing exterior flows

3.00pm

Shibing Chen

Stability results on the smoothness of optimal transport maps with general costs

3.50pm

Afternoon tea

6.30pm

Dinner

Register

Register here

Opening date

26 October 2017

Closing date

29 January 2018

Fees

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. 

Venue

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. Information on obtaining visas and ETAs can be found here.

Map

General info

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.

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.

Contacts

Contacts

Macarena Rojas
+61 2 6125 1157

Updated:  24 February 2018/Responsible Officer:  Director/Page Contact:  School Manager