Workshop
Shape optimization and spectral geometry
Jun 29, 2015 - Jul 03, 2015
ICMS, 15 South College Street, Edinburgh
Organisers
Name | Institution |
---|---|
Bucur, Dorin | Université de Savoie |
Buttazzo, Guiseppe | University of Pisa |
Pratelli, Aldo | Friedrich-Alexander-Universität Erlangen-Nürnberg |
van den Berg, Michiel | University of Bristol |
The main purpose of this workshop is to bring together experts working on various topics involving partial differential equations on variable domains, with particular attention to the dependence of the solutions of the state equations (generally a partial differential equations) on the geometry of their domain of definition. Participants will include specialists on: shape optimization problems; spectral geometry; and isoperimetric inequalities and other geometric or functional inequalities.
The intention is to present the state-of-the-art on some celebrated open problems and conjectures, and try to make a step forward in the direction of solving them, or at least to obtain new partial information.
Group photographs of workshop participants can be found on the ICMS Flickr account.
This workshop is generously supported by the EPSRC, Foundaton Compositio and ERC grant 258685 Analisis of optimal sets and optimal constants.
Arrangements
The workshop will begin at 08:30 with registration on Monday morning 29 June and close around midday on Friday 3 July 2015. Please take these timings into account when booking your travel.
Participation
Participation for this event is by invitation only. Invitees will have received an emailed invitation from ICMS, on behalf of the Scientific Organisers, in February 2015.
Venue and Talks
The workshop will be held at 15 South College Street, Edinburgh. You may also find this map useful for the workshop. All lectures will be held in the Newhaven Lecture Theatre. The Lecture Theatre is equipped with a data projector, computer, visualiser (the new generation of overhead projectors) and two blackboards. The projector and one board may be used simultaneously. It is best to bring your presentation on a memory stick to use in our ICMS computer. Alternatively, it is possible for you to use your own laptop with our dataprojector, but please be aware that you may have to alter your laptop resolutions/settings.
UK Visas
If you are travelling from overseas you may require an entry visa. A European visa does not guarantee entry to the UK. Please use this link to the UK Visas site to find out if you need a visa and if so how to apply for one.
Travel
Information about travel to the UK and Edinburgh is available here. Please note that it is your responsibility to have adequate travel insurance to cover medical and other emergencies that may occur on your trip.
A taxi directly from the airport will cost approximately 20.00 GBP to the city centre for a one-way journey. There is also a bus service direct from the airport to the city centre which will cost 4.00 single or 7.00 GBP return - the Airlink 100. This is a frequent service (every 10 minutes during peak times) and will bring you close to Waverley Railway Station and the workshop venue.
Lothian buses charge £1.50 for a single, £3.50 for a day ticket. Please note that the exact fare is required and no change is given.
If travelling by train, please note that Edinburgh has several railway stations; Waverley Railway Station being the main station and closest to the workshop venue at 15 South College Street. If you alight at Edinburgh Waverley, the meeting venue is an easy 10 minute walk over North and South Bridge. The other railway stations are Haymarket and Edinburgh Park but please note that these stations are at the West End of the city centre.
Accommodation
ICMS will organise accommodation for all Invited Participants.
Public Lecture
On Tuesday 30 June, Bernd Kawohl will give a Public Lecture (title and abstract below). Doors will open to the Public at 17.30, with the Lecture beginning at 18.00. The Public Lecture will be followed by an informal wine reception in the Chapterhouse at ICMS from 19.00-20.00. Seats have been reserved in the Lecture Theatre for all the workshop participants so there is no need for you to book a seat.
On buttons and balls that cannot run away
When does a steel pipe have an exactly circular cross section? When it features constant exterior width from every angle? That could easily be verified with a big caliper or slide gauge, and this procedure was used in the process of assembling booster rockets for the space shuttle. The authors of the corresponding manuals had overlooked that there are geometric shapes, so-called sets of constant width, that are not circles. This was a contributing factor to the Challenger disaster in 1986. In my talk I will point out that these odd sets show up in our daily life, how their knowledge can be used to drill square holes, and that there are interesting mathematical questions connected with them. The talk is directed at a general audience.
Organised historical tour of Edinburgh, Wednesday, 1 July, at 14:30
After lunch on Wednesday, 1 July, 14:30, ( the free afternoon of the workshop), a historical tour of Edinburgh has been booked for all participants who wish to join it. The tour led by David Nish, a published historian, born and raised on Edinburgh's world famous Royal Mile, will take you round and show you a street full of hidden closes with hundreds of years of history (often dark) and inspired many famous literary figures and other national heroes. The tour will last approximately 60 - 90 minutes and is highly recommended. Please indicate on arrival to ICMS, at registration, if you would like to come along to this exciting tour. The cost is covered by the workshop grant and is free to all participants.
Catering
The workshop grant will cover refreshments throughout the event, lunch on several days, an informal wine reception one evening and a Workshop Dinner.
Wireless Access
The workshop venue, 15 South College Street, has wireless access throughout. On arrival at Registration you will be given instructions and a code for accessing the wireless network. For those without laptops, there will also be a couple of computers available for you to check your emails.
Registration Fee
There is no registration fee for this workshop.
Programme
HPlease continue to check the Programme until the time of the workshop as any updates will be notified here.
Monday 29 June 2015
08:30-09:30 | Registration & coffee in the Chapterhouse, Level 1 |
09:30-10:20 | Mark Ashbaugh (University of Missouri - Columbia) |
10:30-10:55 | Ilaria Fragalà (Politecnico di Milano) |
11:00-11:30 | Coffee/Tea in the Chapterhouse, Level 1 |
11:30-12:20 | Bruno Colbois (University of Neuchâtel) |
12:30-14:00 | Lunch provided in the Chapterhouse, Level1 |
14:00-14:50 | Guido De Philippis (ENS Lyons) |
15:00-15:50 | Pedro Freitas (University of Lisbon) |
16:00-16:30 | Coffee/Tea in the Chapterhouse, Level 1 |
16:30-16:55 | Peter Gilkey (University of Oregon) |
17:00-17:25 | Bozhidar Velichkov (Université Joseph Fourier) |
17:30-19:00 | Informal Wine Reception & buffet in the Chapterhouse, Level 1 |
Tuesday 30 June
09:00-09:50 | Almut Burchard (University of Toronto) |
10:00-10:50 | Iosif Polterovich (Université de Montréal) |
11:00-11:30 | Coffee/Tea in the Chapterhouse, Level 1 |
11:30-11:55 | Leonid Parnovski (University College London) |
12:00-12:25 | Carlo Nitsch (University of Naples) |
12:30-14:00 | Lunch provided in the Chapterhouse, Level 1 |
14:00-14:50 | Richard Laugesen (University of Illinois) |
15:00-15:50 | Evans Harrell (Georgia Institute of Technology) |
16:00-16:30 | Coffee/Tea in the Chapterhouse, Level1 |
16:30-16:55 | Jimmy Lamboley (University Paris-Dauphine) |
17:00-17:25 | James Kennedy (University of Stuttgart) |
18:00-19:00 | Public Lecture by Bernd Kawohl (University of Cologne) |
19:00-20:00 | Informal wine reception in the Chapterhouse, Level 1 |
Wednesday 1 July
09:00-09:50 | Antoine Henrot (Université de Lorraine) |
10:00-10:50 | Nicola Fusco (University of Naples 'Federico II') |
11:00-11:30 | Coffee/Tea in the Chapterhouse, Level 1 |
11:30-11:55 | Lorenzo Brasco (Aix-Marseille Université) |
12:00- 12:25 | Alexandre Girouard (Université Laval) |
12:30-14:00 | Lunch in the Chapterhouse, Level 1 |
Thursday 2 July
09:00-09:50 | Rafael Benguria (Pontificia Universidad Católica de Chile) |
10:00-10:50 | Nicolai Nadirashvili (CNRS France) |
11:00-11:30 | Coffee/Tea in the Chapterhouse, Level 1 |
11:30-11:55 | Cristina Trombetti (University of Naples) |
12:00-12:25 | Emily Dryden (Bucknell University) |
12:30-14:00 | Lunch provided in the Chapterhouse, Level 1 |
14:00-14:50 | Michel Pierre (ENS Rennes and IRMAR) |
15:00-15:50 | Bernard Helffer (Université Paris-Sud) |
16:00-16:30 | Coffee/Tea in the Chapterhouse, Level 1 |
16:30-16:55 | Virgininie Bonnaillie-Noel (CNRS, ENS Paris) |
19.00 | Workshop Dinner at the Magnum, 1 Albany Street, Edinburgh |
Friday 3 July
09:00-09:25 | Julie Rowlett (Chalmers University) |
09:30-09:55 | Friedmann Brock (Leipzig University) |
10:00-10:25 | Dario Mazzoleni (University of Torino) |
10:30-11:00 | Coffee/Tea in the Chapterhouse, Level 1 |
11:00-11:50 | Susanna Terracini (University of Torino) |
12:00 | Close of workshop (no lunch provided) |
Presentations:
Presentation Details | |
---|---|
Ashbaugh, Mark | |
A Sharp Lower Bound for the First Eigenvalue of the Vibrating Clamped Plate under Compression | |
View Abstract | |
Benguria, Rafael | |
The Brezis--Nirenberg Problem on $mathbb{S}^n$, in spaces of fractional dimension | |
View Abstract | |
Bonnaillie-Noel, Virginie | |
Minimal spectral partitions | |
View Abstract | |
Brasco, Lorenzo | |
An improved energy bound for Schr"odinger operators | |
View Abstract | |
Brock, Friedemann | |
Isoperimetric inequalities with power weights | |
View Abstract | |
Colbois, Bruno | |
The shape of Riemannian manifolds and submanifolds with large eigenvalues. | |
View Abstract | |
De Philippis, Guido | |
Regularity of free boundaries in anisotropic capillarity problems and the validity of Young's law | |
View Abstract | |
Dryden, Emily | |
Can you hear the metric on a sphere? | |
View Abstract | |
Fragalà, Ilaria | |
Mahler inequality for the first eigenvalue of the Dirichlet Laplacian | |
View Abstract | |
Freitas, Pedro | |
Optimal Laplace determinants | |
View Abstract | |
Fusco, Nicola | |
Stability and minimality for a nonlocal variational problem | |
View Abstract | |
Gilkey, Peter | |
Heat Content Asymptotics | |
View Abstract | |
Girouard, Alexandre | |
The spectral gap of graphs and Steklov eigenvalues on surfaces. | |
View Abstract | |
Harrell, Evans | |
Semiclassically sharp bounds for sums of eigenvalues and heat traces. | |
View Abstract | |
Helffer, Bernard | |
On nodal and minimal k-partitions | |
View Abstract | |
Henrot, Antoine | |
Towards the sharp constant in the quantitative isoperimetric inequality in the plane | |
View Abstract | |
Kawohl, Bernd | |
On buttons and balls that cannot run away | |
View Abstract | |
Kennedy, James | |
Eigenvalue estimates for quantum graphs | |
View Abstract | |
Lamboley, Jimmy | |
Optimal compliance problem | |
View Abstract | |
Laptev, Ari | |
One-dimensional interpolation inequalities, Carlson-Landau inequalities and magnetic Schrödinger operators | |
View Abstract | |
Laugesen, Richard | |
Steklov spectral inequalities through quasiconformal mapping. | |
View Abstract | |
Mazzoleni, Dario | |
A surgery result for the spectrum of the Dirichlet Laplacian' | |
View Abstract | |
Nadirashvili, Nicolai | |
Extremals of conformal spectrum of the Laplacian | |
View Abstract | |
Nitsch, Carlo | |
On the Elastic Energy of Planar Curves | |
View Abstract | |
Parnovskii, Leonid | |
Asymptotic behaviour of the local density of states and the spectral function of multidimensional almost-periodic Schroedinger operators. | |
View Abstract | |
Pierre, Michel | |
Estimates of shape derivatives around nonsmooth domains. | |
View Abstract | |
Polterovich, Iosif | |
Spectral geometry of the Steklov problem | |
View Abstract | |
Rowlett, Julie | |
When can one hear the shape of a drum? | |
View Abstract | |
Terracini, Susanna | |
Existence and regularity of solutions to optimal partition problems involving Laplacian eigenvalues | |
View Abstract | |
Trombetti, Cristina | |
Best constants in some Sobolev Poincaré trace inequalities | |
View Abstract | |
Velichkov, Bozhidar | |
A free boundary problem arising in PDE optimization | |
View Abstract |
Participants
Name | Institution |
---|---|
Ashbaugh, Mark | University of Missouri |
Bandle, Catherine | University of Basel |
Benguria, Rafael | Pontificia Universidad Católica de Chile |
Bogosel, Beniamin | Universite de Savoie |
Bonnaillie-Noel, Virginie | CNRS, ENS Paris |
Brasco, Lorenzo | Aix-Marseille Université |
Brock, Friedemann | Leipzig University |
Buckley, Jerry | King's College London |
Bucur, Dorin | Université de Savoie |
Burchard, Almut | University of Toronto |
Buttazzo, Guiseppe | University of Pisa |
Colbois, Bruno | University of Neuchâtel |
De Philippis, Guido | ENS Lyons |
Dryden, Emily | Bucknell University |
Fragalà, Ilaria | Politecnico di Milano |
Freitas, Pedro | University of Lisbon |
Fusco, Nicola | University of Naples 'Federico II' |
Gilkey, Peter | University of Oregon |
Girouard, Alexandre | Université Laval |
Gittins, Katie | University of Bristol |
Harrell, Evans | Georgia Institute of Technology |
Hassannezhad, Asma | Max-Planck Institute for Mathematics |
Helffer, Bernard | University Paris-Sud |
Henrot, Antoine | Université de Lorraine |
Hoffmann-Ostenhof, Thomas | University of Vienna |
Jakobson, Dmitry | McGill University |
Karpukhin, Mikhail | McGill University |
Kawohl, Bernd | University of Cologne |
Kennedy, James | University of Stuttgart |
Lamboley, Jimmy | University Paris-Dauphine |
Laugesen, Richard | University of Illinois |
Levitin, Michael | University of Reading |
Malchiodi, Andrea | Scuola Normale Superiore |
Mazzoleni, Dario | University of Torino |
Nadirashvili, Nicolai | CNRS France |
Netrusov, Yuri | University of Bristol |
Nitsch, Carlo | University of Naples |
Parini, Enea | Université Aix-Marseille |
Parnovskii, Leonid | University College London |
Pierre, Michel | ENS Rennes and IRMAR |
Polterovich, Iosif | Université de Montréal |
Pratelli, Aldo | Friedrich-Alexander-Universität Erlangen-Nürnberg |
Radici, Emanuela | Friedrich-Alexander Universität Erlangen-Nürnberg |
Rowlett, Julie | Chalmers University |
Ruffini, Berardo | École Polytechnique |
Siudeja, Bartlomiej | University of Oregon |
Steinerberger, Stefan | Yale University |
Terracini, Susanna | University of Torino |
Trombetti, Cristina | University of Naples |
van den Berg, Michiel | University of Bristol |
Velichkov, Bozhidar | Université Joseph Fourier |
Wigman, Igor | King's College London |
Zeisler, Florian | Friedrich-Alexander Universität Erlangen-Nürnberg |