Scientific organisers
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Pieter Blue , University of Edinburgh
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Cécile Huneau, CMLS, École polytechnique
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Sung-Jin Oh , University of California Berkeley
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Jan Sbierski, University of Edinburgh
About:
This workshop aimed to bring together experts on singularity formation from mathematical general relativity as well as from dispersive PDE to map out the current frontiers of the fields, stimulate the transfer of ideas, foster discussions and new collaborations, and to inspire the new generation of researchers to take up the challenges this field holds. On the side of general relativity the workshop focused on the topics of naked singularities, singularities inside black holes, as well as cosmological singularities. On the side of dispersive PDE the workshop aimed to discuss the characterisation of general singularities and blow-up dynamics.
Programme:
| Monday 29 May | ||
| Registration and Refreshments | ||
| Welcome and housekeeping (organisers and ICMS) | ||
| Mihalis Dafermos, Princeton University | “The cosmic censorship conjectures in general relativity: current status and open problems” | |
| Coffee Break | ||
| Annegret Burtscher, Radboud University | On the formation of trapped surfaces for matter fields | |
| Lunch |
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| Louise Gassot , Université de Rennes | Zero-dispersion limit for the Benjamin-Ono equation | |
| Jacek Jendrej, Université Sorbonne Paris Nord | Dynamics of kink clusters for scalar fields in dimension 1+1 | |
| Coffee Break |
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| Kihyun Kim, The Institut des Hautes Études Scientifiques | Rigidity of long-term dynamics of the self-dual Chern-Simons-Schrödinger equation within equivarianc | |
| Drinks Reception at ICMS | ||
| Tuesday 30th May |
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| Jared Speck, Vanderbilt University | The structure of the maximal development in 3D compressible Euler flow | |
| Coffee Break |
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| Qian Wang , University of Oxford | Rough solutions of the $3$-D compressible Euler equations | |
| Lunch |
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| Juhi Jang, University of Southern California | Gravitational collapse of gaseous stars | |
| Spyros Alexakis, University of Toronto | Singularity formation in black hole interiors | |
| Coffee Break | ||
| Evening Colloquium - Igor Rodnianski., Princeton University | Self-similarity: two examples of singularity formation | |
| Wednesday 31 May |
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| Jeremy Szeftel, Sorbonne University | Finite time blow up for defocusing supercritical NLS and compressible fluids | |
| Frans Pretorius, Princeton University | Insights into the rotating black hole interior from numerical solutions | |
| Coffee Break |
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| Hans Ringstroem, KTH Royal Institute of Technology | A geometric perspective on cosmological singularities | |
| Lunch followed by possible local activity | ||
| Thursday 1 June |
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| Anne-Sophie De Suzzoni, The Institut Polytechnique de Paris | Strichartz estimates for the Dirac equation on asymptotically flat manifolds | |
| Coffee Break |
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| Andrew Lawrie, Massachusetts Institute of Technology | Continuous bubbling for the harmonic map heat flow | |
| Lunch | ||
| Yakov Shlapentokh-Rothman, University of Toronto | Naked Singularities for the Einstein Vacuum Equations |
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| Grigorios Fournodavlos, University of Crete | Stable Big Bang formation | |
| Conference Dinner at Blonde | ||
| Friday 2 June |
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| Maxime Van de Moortel , Rutgers University | The co-existence of null and spacelike singularities in the interior of spherically symmetric black holes | |
| Coffee Break |
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| Elena Giorgi, Columbia University | “Physical-space estimates on black hole perturbations”. | |
| Lunch |
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| Yan Guo, Brown University | Global smooth axisymmetric Euler flows | |
| Jonathan Luk, Stanford University | Shock formation for the Einstein-Euler system |
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