New Trends in Geometric PDEs

We expect a hybrid conference with some of the talks given remotely.

The objective of the workshop is to present and discuss in detail some of the recent exciting developments in geometric partial differential equations. Topics will include the Ricci-flow, mean curvature flow and related PDEs, minimal surfaces, as well as stability problems and structure of singularities in general relativity and many more.

Speakers

Organisers

Schedule

Please find the abstracts here.

Monday, 1 November

09:30 – 10:30 Dejan Gajic (Radboud University Nijmegen): Instabilities of extremal black holes
10:30 – 11:00 Coffee break
11:00 – 12:00 Claude Warnick (University of Cambridge): Anti-de Sitter spacetimes
12:00 – 14:00 Lunch break
14:00 – 15:00 Rita Teixeira da Costa (Princeton University): Homogenization of the Einstein equations under symmetry
15:00 – 15:30 Coffee break
15:30 – 16:30 Jonathan Luk (Stanford University): Singular solutions in general relativity (remote)
16:30 – 17:15 Break
17:15 – 18:15  Yakov Shlapentokh-Rothman (University of Toronto): Self-Similarity and Naked Singularities for the Einstein Vacuum Equations (remote)

Tuesday, 2 November

09:30 – 10:30 Cécile Huneau (CNRS & École Polytechnique): Global existence for a system of quasilinear wave equations on a product space
10:30 – 11:00 Coffee break
11:00 – 12:00 Marco Guaraco (Imperial College London): Mean curvature flow in homology and foliations of hyperbolic 3-manifolds (remote)
12:00 – 14:00 Lunch break
14:00 – 15:00 Grigorios Fournodavlos (Sorbonne Université): Stable Big Bang formation (remote)
15:30 – 16:30 Lu Wang (California Institute of Technology): Closed hypersurfaces of low entropy are isotopically trivial (remote)
16:30 – 17:00 Coffee break
17:00 – 18:00 Peter Hintz (ETH Zürich): Wave decay on asymptotically flat spacetimes (remote)

Wednesday, 3 November

09:00 – 10:00 Richard Bamler (University of California, Berkeley): Compactness and partial regularity theory of Ricci flows in higher dimensions (remote)
10:00 – 10:30 Coffee break
10:30 – 11:30 Yoshikazu Giga (The University of Tokyo): On a singular limit of a single-well Modica-Mortola functional and its applications (remote)
11:30 – 12:00 Break
12:00 – 13:00 Tim Laux (Universität Bonn): A new varifold solution concept for mean curvature flow: Convergence of the Allen-Cahn equation and weak-strong uniqueness
Afternoon: Free City Walking Tour (1h). More details TBA soon

Thursday, 4 November

09:00 – 10:00 Elena Maeder-Baumdicker (TU Darmstadt): Geometry of complete minimal surfaces and the Willmore Morse index of their inversion (remote)
10:00 – 10:30 Coffee break
10:30 – 11:30 Tobias Lamm (Karlsruher Institut für Technologie): Diffusive stability results for the harmonic map flow and related equations (remote)
11:30 – 12:00 Break
12:00 – 13:00 Eleonora di Nezza (École Polytechnique): Entropy & Energy
13:00 – 15:00 Lunch break
15:00 – 16:00 Julian Fischer (Institute of Science and Technology Austria): Uniqueness and stability properties of weak solutions to multiphase mean curvature flow: An approach based on the local structure of the energy landscape
16:00 – 16:30 Coffee break
16:30 – 17:30 André Neves (University of Chicago): Minimal surfaces in hyperbolic manifolds (remote)

Friday, 5 November

09:30 – 10:30 Yoshihiro Tonegawa (Tokyo Institute of Technology): Existence of canonical multi-phase mean curvature flows (remote)
10:30 – 11:00 Coffee break
11:00 – 12:00 Matteo Novaga (Università di Pisa): Anisotropic and fractional mean curvature flow of mean convex sets (remote)
12:00 – 14:00 Lunch break
14:00 – 15:00 Hung Vinh Tran (University of Winsconsin Madison): Level-set forced mean curvature flow with the Neumann boundary condition (remote)
15:00 – 15:30 Coffee break
15:30 – 16:30 Susanna Terracini (Università degli Studi di Torino):  Free boundaries in segregation problems (remote) - Please find the abstract here.

Registration

Please register online here.

Support and child care

Child care is available free of charge for all participants of the workshop.

Venue and Travel Information

The conference takes place in room SRZ 216/217 on the second floor of the seminar building located at

Orléans-Ring 12
48149 Münster
Germany

Google Maps

The University of Münster is located in Münster in Westphalia. The address of the Faculty of Mathematics and Computer Science is Einsteinstrasse 62 and is listed on all common route planners.

You can find the Cluster of Excellence Mathematics Münster in the annex:

Orléans-Ring 10
ground floor
48149 Münster

Directions can be found on openstreetmap or on the Campus map of the University of Münster.

Detailed travel information can be found on the MM websites.

Download: Information for conference guests / Informationsblatt für Tagungsteilnehmer*innen [de|en]

Poster

You are welcome to download the poster and display it at your institution.

Sponsor

The conference is supported by the Cluster of Excellence Mathematics Münster and the European Research Council (ERC).

Photos