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Summer Program
Geometrical Singularities and Singular Geometries
July 14-25, 2008


Mathematics and Chemistry

"Singularity is almost invariably a clue. The more and featureless and commonplace a "crime" is, the more difficult it is to bring it home." Sherlock Holmes

Organizers:
L. Mahadevan Engineering and Applied Sciences, Harvard University
Edward A. Spiegel Astronomy, Columbia University
Thomas Adams Witten Physics and James Franck Institute, University of Chicago
Wendy W. Zhang Physics and James Franck Institute, University of Chicago


Description:

The interplay between geometry and physics in the material world is a rich source of questions close to experience, amenable to experiments and open to a range of theoretical approaches, from scaling and asymptotics to computation and geometric/topological methods. The breakup of a drop or the coalescence of two, the collapse of a bubble or the birth of one, the crumpling and wrinkling of a sheet of paper or of the continental crust, the tearing of a sheet of plastic or plasma, the pinching of a tube of myelin or that of a magnetic flux tube, are all examples of extreme events that involve the strongly inhomogeneous interactions (in space and time) between length and time scales that are are normally well separated. Almost all of these events can also be observed and quantified experimentally without too much of a fuss.

Each of these examples has a strong geometrical signature associated with a singular or near singular event. Both the pinching of a drop or the internal tearing of a sheet of plastic or plasma involve a change in topology that accompanies a divergent curvature, while the crumpling of paper involves the formation of nearly singular geometrical structures that accompany the focusing of stress and energy. In all these examples, localized low-dimensional geometric structures influence and are influenced by the behavior in the bulk, and their structure and evolution may aptly be termed the study of geometric singularities and singular geometries.

A two week workshop at the IMA will focus on what we know and what we would like to know about these types of singular structures; with the first week focusing on fluid singularities, and the second on elastic singularities. We also hope to have an intense mid-week mini-tutorial on singularities in geometric field theories: examples from gravitation to condensed matter.

2008-07-14 2008-07-15 2008-07-16 2008-07-17 2008-07-18 2008-07-19 2008-07-20 2008-07-21 2008-07-22 2008-07-23 2008-07-24 2008-07-25
Download full schedule »
Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday
Monday | Tuesday | Wednesday | Thursday | Friday |
Monday July 14, 2008
8:15am-9:00amRegistration and coffeeEE/CS 3-176
9:00am-9:15amWelcome to the IMAFadil Santosa (University of Minnesota, Twin Cities)
EE/CS 3-180
9:15am-9:45amIntroductory talkL. Mahadevan (Harvard University)
EE/CS 3-180
9:50am-10:40amSome remarks on vorticity growth in Euler flowsStephen Childress (New York University)
EE/CS 3-180
10:40am-11:10amCoffeeEE/CS 3-176
11:10am-12:00pmA catalogue of singularitiesJens Eggers (University of Bristol)
EE/CS 3-180
12:00pm-12:30pmDiscussionEE/CS 3-180
12:30pm-2:00pmLunch
2:00pm-2:10pmCalculation of complex singular solutions to the 3D incompressible Euler equationsMichael Siegel (New Jersey Institute of Technology)
EE/CS 3-180
2:15pm-2:25pmViscous potential flow analysis of radial fingering in a Hele-Shaw cellDaniel Joseph (University of Minnesota, Twin Cities)
EE/CS 3-180
2:30pm-2:40pmSome open questions on similarity solutions for fluid film ruptureThomas Witelski (Duke University)
EE/CS 3-180
2:45pm-2:55pmCapillary pinch-off of a film on a cylinderJohn Lister (University of Cambridge)
EE/CS 3-180
3:00pm-3:30pmSecond chancesEE/CS 3-180
3:45pm-4:00pmGroup Photo
4:00pm-6:00pm Poster Session and Reception Lind Hall 400
Untangling elastic knots by the energy decreasing flowChun-Chi Lin (National Taiwan Normal University)
Asymmetries in a disconnecting air bubble: Up/down and aroundLaura Schmidt (University of Chicago)
Singularities in 2D void collapseKonstantin Turitsyn (University of Chicago)
Coarsening of dewetting thin films subject to gravity Thomas Witelski (Duke University)
Exceptional maneuvers of flying insects revealed by a new motion tracking techniqueLeif Ristroph (Cornell University)
Length-scale selection in viscous entrainment of stratified liquidsLaura Schmidt (University of Chicago)
Bubble pinch-off at high pressuresJustin Burton (University of California, Irvine)
Self-similarity of the second-kind in 2D inviscid pinch-off: Experiments and theoryPeter Taborek (University of California, Irvine)
Hard discs on the hyperbolic plane: A proposal for a new model of glassy systemsCarl Modes (University of Pennsylvania)
Drop impact dynamicsRobert Schroll (University of Chicago)
Tuesday July 15, 2008
8:30am-9:00amCoffeeEE/CS 3-176
9:00am-9:50amAblative Rayleigh-Taylor instabilityPaul Clavin (UMR CNRS-Universites d'Aix-Marseille I&II)
EE/CS 3-180
9:50am-10:00amDiscussionEE/CS 3-180
10:00am-10:30amBreakEE/CS 3-176
10:30am-11:20amHydraulic jump in a flowing soap filmWalter Goldburg (University of Pittsburgh)
EE/CS 3-180
11:20am-11:30amDiscussionEE/CS 3-180
11:30am-2:00pmLunch
2:00pm-2:10pmDynamics and stability of a network of coupled drop elements: Coarsening by capillarityHenrik van Lengerich (Cornell University)
EE/CS 3-180
2:15pm-2:25pmBlowup dynamics of an unstable thin-film equationDejan Slepcev (Carnegie Mellon University)
EE/CS 3-180
2:30pm-2:40pmAn open problem concerning breakup of fluid jets Michael Renardy (Virginia Polytechnic Institute and State University)
EE/CS 3-180
2:45pm-2:55pmThe prospects for fission of self-gravitating massesNorman Lebovitz (University of Chicago)
EE/CS 3-180
3:00pm-3:30pmSecond chancesEE/CS 3-180
6:30pm-8:30pmWorkshop Dinner at Kikugawa Kikugawa at Riverplace
43 Main Street SE Minneapolis MN 55414
612-378-3006
Wednesday July 16, 2008
8:30am-9:00amCoffeeEE/CS 3-176
9:00am-9:50amLengths and crossing numbers of tightly knotted ropes and bandsRobert Kusner (University of Massachusetts)
EE/CS 3-180
9:50am-10:00amDiscussionEE/CS 3-180
10:00am-10:30amBreakEE/CS 3-176
10:30am-11:20amImpact!Sidney Nagel (University of Chicago)
EE/CS 3-176
11:20am-11:30amDiscussionEE/CS 3-180
11:30am-2:00pmLunch
2:00pm-2:10pmTurbulent solutions of the stochastic Navier-Stokes equationBjorn Birnir (University of California, Santa Barbara)
EE/CS 3-180
2:15pm-2:25pmLubrication theory in nearly singular geometries: when should one stop optimizing a reduced model?Jon Wilkening (University of California, Berkeley)
EE/CS 3-180
2:30pm-2:40pmCapillary windingJosé Bico (École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI))
2:45pm-2:55pmDynamics of droplet breakup in a complex fluidJohn Savage (Cornell University)
EE/CS 3-180
3:00pm-3:30pmSecond chancesEE/CS 3-176
7:00pm-7:10pmScaling properties of singular matrix eigenvectors Leo Kadanoff (University of Chicago)
EE/CS 3-180
7:15pm-8:00pmDiscussion SessionEE/CS 3-180
Thursday July 17, 2008
8:30am-9:00amCoffeeEE/CS 3-176
9:00am-9:50amA new approach to regularity and singularity questions for a class of non-linear evolutionary PDEs such as 3-D Navier-Stokes equationSaleh Tanveer (The Ohio State University)
EE/CS 3-180
9:50am-10:00amDiscussionEE/CS 3-180
10:00am-10:30amCoffeeEE/CS 3-176
10:30am-11:20amA few viscous jetsDavid Quéré (École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI))
EE/CS 3-180
11:20am-11:30amDiscussionEE/CS 3-180
11:30am-2:00pmLunch
2:00pm-2:10pmSingular jets in free-surface flowsSigurdur Thoroddsen (National University of Singapore)
EE/CS 3-180
2:15pm-2:25pmHigh-speed jet formation after solid object impactStephan Gekle (Universiteit Twente)
EE/CS 3-180
2:30pm-2:40pmFragmentation under impactEmmanuel Villermaux (IRPHE - Institut de Recherche sur les Phénoménes Hors Équilibre)
EE/CS 3-180
2:45pm-2:55pmChaos in a one-dimensional cardiac modelDavid Schaeffer (Duke University)
EE/CS 3-180
3:00pm-3:10pmSelf similar rupture of thin films with slippage Andreas Münch (University of Nottingham)
EE/CS 3-180
3:10pm-3:40pmSecond ChancesEE/CS 3-180
Friday July 18, 2008
8:30am-9:00amCoffeeEE/CS 3-176
9:00am-9:50amRemembering and forgetting in a disconnecting air bubbleWendy Zhang (University of Chicago)
EE/CS 3-180
9:50am-10:00amDiscussionEE/CS 3-180
10:00am-10:30amCoffeeEE/CS 3-176
10:30am-11:20amPatterns in dewetting liquid films: Intermediate and late phasesBarbara Wagner (Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS))
EE/CS 3-180
11:25am-11:55amSecond Chances/End of Friday sessionEE/CS 3-180
Saturday July 19, 2008
No scheduled activity
Sunday July 20, 2008
No scheduled activity
Monday July 21, 2008
8:30am-9:00amCoffeeEE/CS 3-176
9:00am-9:50amThe zero temperature limit of interacting corporaPeter Constantin (University of Chicago)
EE/CS 3-180
9:50am-10:00amDiscussionEE/CS 3-180
10:00am-10:30amBreakEE/CS 3-176
10:30am-11:20amResolving dynamic singularities: from vortices to contact linesLeonid Pismen (Technion-Israel Institute of Technology)
EE/CS 3-180
11:20am-11:30amDiscussionEE/CS 3-180
11:30am-2:00pmLunch
2:00pm-2:10pmOn similarities of two Cahn-Hilliard type equationsMaciek Korzec (Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS))
EE/CS 3-180
2:15pm-2:25pmSingularities in Calabi-Yau varieties Mee Seong Im (University of Illinois at Urbana-Champaign)
EE/CS 3-180
2:30pm-2:40pmElastic theory of non-Euclidean platesEfi Efrati (Hebrew University)
EE/CS 3-180
2:45pm-3:35pmWhat's new for microstructure David Kinderlehrer (Carnegie Mellon University)
EE/CS 3-180
3:35pm-4:05pmSecond chancesEE/CS 3-180
4:30pm-6:30pmPoster Session and ReceptionLind Hall 400
Mathematical modeling and analysis of ferroelectric materialsJinhae Park (Purdue University)
Fadeout of deposition in an evaporating drop Thomas Witten (University of Chicago)
Self-similarity of the second-kind in 2D inviscid pinch-off: Experiments and theoryPeter Taborek (University of California, Irvine)
Bubble pinch-off at high pressuresJustin Burton (University of California, Irvine)
Hard discs on the hyperbolic plane: A proposal for a new model of glassy systemsCarl Modes (University of Pennsylvania)
Liquid flow driven by light scatteringRobert Schroll (University of Chicago)
Crofton measure in Minkowski geometry and singularitiesYang Liu (University of Georgia)
Dynamic measurements of crumpling in isotropically confined elastic sheetsHillel Aharoni (Hebrew University)
Stationary solutions and coarsening of a driven Cahn-Hilliard type equationMaciek Korzec (Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS))
Continuum theory and instabilities in smectic liquid crystalsSookyung Joo (University of California, Santa Barbara)
Elastic theory of unconstrained non-Euclidean platesEfi Efrati (Hebrew University)
Configuration of non-Euclidean plates with varying thickness (by Yael Klein)Hillel Aharoni (Hebrew University)
Geometric theory of columnar phases on curved substratesVincenzo Vitelli (University of Pennsylvania)
Tuesday July 22, 2008
8:30am-9:00amCoffeeEE/CS 3-176
9:00am-9:50amSingular minimisers in nonlinear elasticity and modelling fractureJey Sivaloganathan (University of Bath)
EE/CS 3-176
9:50am-10:00amDiscussionEE/CS 3-180
10:00am-10:30amCoffeeEE/CS 3-176
10:30am-11:20amFinite-time singularities in surface-diffusion instabilities are cured by plasticityItamar Procaccia (Weizmann Institute of Science)
EE/CS 3-180
11:20am-11:30amDiscussionEE/CS 3-180
11:30am-12:30pmLunch
12:30pm-2:00pmVideo conference with the parallel conference in Cargese on the geometry and mechanics of growth in biological systemsChristophe Josserand (Université de Paris VI (Pierre et Marie Curie))
EE/CS 3-180
2:00pm-2:10pmSingularities associated with swelling of hyperelastic solidsThomas Pence (Michigan State University)
EE/CS 3-180
2:15pm-2:25pmSome remarks on the symmetry of singular minimizers in elasticityScott Spector (Southern Illinois University)
EE/CS 3-180
2:30pm-2:40pmInvestigating dislocation dynamics in degenerate crystals of dimer colloidsItai Cohen (Cornell University)
2:45pm-2:55pmPoint-instabilities, point-coercivity (meta-stability), and point-calculusEvan Hohlfeld (University of California, Berkeley)
EE/CS 3-180
3:00pm-3:30pmSecond chancesEE/CS 3-180
3:30pm-3:45pmGroup Photo
6:30pm-8:30pmWorkshop Dinner at PagodaPagoda Restaurant
1417 4th St. SE
Minneapolis, MN
612-378-4710
Wednesday July 23, 2008
8:30am-9:00amCoffeeEE/CS 3-176
9:00am-9:50amUltrasound as a probe of plasticity? The interaction between elastic waves and dislocationsFernando Lund (University of Chile)
EE/CS 3-180
9:50am-10:00amDiscussionEE/CS 3-180
10:00am-10:30amCoffeeEE/CS 3-176
10:30am-11:20amThe geometry of topological defectsRandall Kamien (University of Pennsylvania)
EE/CS 3-180
11:20am-11:30amDiscussionEE/CS 3-180
11:30am-2:00pmLunch
2:00pm-2:30pmVisit to Daniel D. Joseph Lab
Meet D. Joseph infront of EE/CS 3-180 at 1:50pm to walk to the lab.
Daniel Joseph (University of Minnesota, Twin Cities)
130 Akerman Hall
2:45pm-3:00pmStatic problems of the chiral smectic and bent core liquid crystals focusing on the role of the spontaneous polarizationJinhae Park (Purdue University)
EE/CS 3-180
3:05pm-3:15pmWrinkling of vesicles during transient dynamics in elongational flow Konstantin Turitsyn (University of Chicago)
EE/CS 3-180
3:15pm-3:45pmSecond chancesEE/CS 3-180
7:00pm-8:00pmDiscussion SessionEE/CS 3-180
Thursday July 24, 2008
8:30am-9:00amCoffeeEE/CS 3-176
9:00am-9:50amTopological singularities in optical wavesMark Dennis (University of Bristol)
EE/CS 3-180
9:50am-10:00amDiscussionEE/CS 3-180
10:00am-10:30amCoffeeEE/CS 3-176
10:30am-11:20amBoundary layers and defects in elastic systemsCarme Calderer (University of Minnesota, Twin Cities)
EE/CS 3-180
11:20am-11:30amDiscussionEE/CS 3-180
11:30am-2:00pmLunch
2:00pm-2:10pmExperimental investigations of packing, folding, and crumpling in two and three dimensionsArshad Kudrolli (Clark University)
EE/CS 3-180
2:15pm-2:25pmBuckled viruses, crumpled shells and folded pollen grains David Nelson (Harvard University)
EE/CS 3-180
2:30pm-2:40pmTowards a statistical physics of crumpled elastic structures?Laurent Boué (École Normale Supérieure)
EE/CS 3-180
2:45pm-2:55pmWeak turbulence of a vibrating elastic thin plateSergio Rica (Centre National de la Recherche Scientifique (CNRS))
EE/CS 3-180
3:00pm-3:10pmSingular behaviors in drop impacts Christophe Josserand (Université de Paris VI (Pierre et Marie Curie))
EE/CS 3-180
3:15pm-3:45pmSecond chancesEE/CS 3-180
3:45pm-4:15pmWorkshop summaryThomas Witten (University of Chicago)
EE/CS 3-180
Friday July 25, 2008
8:30am-9:00amCoffeeLind Hall 400
9:00am-10:30amDiscussion/conclusionLind Hall 400
Download full schedule »

LIST OF CONFIRMED PARTICIPANTS

NAMEDEPARTMENTAFFILIATION
Hillel AharoniInstitute of Physics Hebrew University
José BicoPMMH École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI)
Bjorn BirnirDepartment of Mathematics University of California, Santa Barbara
Laurent BouéDepartment of Laboratoire de Physique Statistique École Normale Supérieure
Justin BurtonDepartment of Physics and Astronomy University of California, Irvine
Carme CaldererSchool of Mathematics University of Minnesota, Twin Cities
Stephen ChildressCourant Institute of Mathematical Sciences New York University
Christophe Clanet École Polytechnique
Paul ClavinInstitut de Recherche sur les Phénomènes Hors Équilibre UMR CNRS-Universites d'Aix-Marseille I&II
Itai CohenDepartment of Physics Cornell University
Peter ConstantinDepartment of Mathematics University of Chicago
Robert DeeganDepartment of Physics University of Michigan
Mark DennisDepartment of Physics University of Bristol
Efi EfratiInstitute of Physics Hebrew University
Jens EggersSchool of Mathematics University of Bristol
Marco FontelosDepartamento de Matemáticas Consejo Superior de Investigaciones Científicas (CSIC)
Gilles FrancfortInstitut Galilee Université de Paris XIII (Paris-Nord)
Stephan GeklePhysics of Fluids Department Universiteit Twente
Walter GoldburgDepartment of Physics and Astronomy University of Pittsburgh
Robert GulliverSchool of Mathematics University of Minnesota, Twin Cities
Evan HohlfeldDepartment of Chemistry University of California, Berkeley
Anette HosoiDepartment of Mechanical Engineering Massachusetts Institute of Technology
Mee Seong ImDepartment of Mathematics University of Illinois at Urbana-Champaign
Richard JamesDepartment of Aerospace Engineering and Mechanics University of Minnesota, Twin Cities
Sookyung JooDepartment of Applied Mathematics University of California, Santa Barbara
Daniel JosephDepartment of Aerospace Engineering and Mechanics University of Minnesota, Twin Cities
Christophe JosserandInstitut Jean Le Rond D'Alembert Université de Paris VI (Pierre et Marie Curie)
Leo KadanoffJames Franck Institute University of Chicago
Randall KamienDepartment of Physics and Astronomy University of Pennsylvania
Markus KeelSchool of Mathematics University of Minnesota, Twin Cities
Lami KimDepartment of Mathematical Sciences Seoul National University
David KinderlehrerDepartment of Mathematics Carnegie Mellon University
Maciek Korzec Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
Arshad KudrolliDepartment of Physics Clark University
Satish KumarDepartment of Chemical Engineering and Materials Science University of Minnesota, Twin Cities
Robert KusnerDepartment of Mathematics & Statistics University of Massachusetts
Norman LebovitzDepartment of Mathematics University of Chicago
Eun Joo LeeDepartment of Mathematical Sciences Seoul National University
Chun-Chi LinDepartment of Mathematics National Taiwan Normal University
John ListerDepartment of Applied Mathematics and Theoretical Physics University of Cambridge
Yang LiuDepartment of Mathematics University of Georgia
Kaspar LoeffelDepartment of Mechanical Engineering Massachusetts Institute of Technology
Fernando LundDepartment of Physics University of Chile
L. MahadevanSchool of Engineering and Applied Sciences Harvard University
Michal MlejnekDepartment of Modeling and Simulation Corning Incorporated
Carl ModesDepartment of Physics and Astronomy University of Pennsylvania
David MorrisseyMathematics and Physics Department University of Minnesota, Twin Cities
Andreas MünchSchool of Mathematical Sciences University of Nottingham
Sidney NagelDepartment of Physics University of Chicago
David NelsonDepartment of Physics Harvard University
Jinhae ParkDepartment of Mathematics Purdue University
Thomas PenceDepartment of Mechanical Engineering Michigan State University
Leonid PismenDepartment of Chemicial Engineering Technion-Israel Institute of Technology
Trevor Potter University of California, Berkeley
Itamar ProcacciaDepartment of Chemical Physics Weizmann Institute of Science
David QuéréPhysique et Mécanique des Milieux Hétérogènes École Supérieure de Physique et de Chimie Industrielles de la Ville de Paris (ESPCI)
Eric RawdonDepartment of Mathematics University of St. Thomas
Michael RenardyDepartment of Mathematics Virginia Polytechnic Institute and State University
Alejandro RibeiroDepartment of Electrical and Computer Engineering University of Minnesota, Twin Cities
Sergio RicaLaboratoire de Physique Statistique Centre National de la Recherche Scientifique (CNRS)
Leif RistrophDepartment of Physics Cornell University
Fadil SantosaSchool of Mathematics University of Minnesota, Twin Cities
John SavageDepartment of Physics Cornell University
David SchaefferDepartment of Mathematics Duke University
Laura SchmidtDepartment of Physics University of Chicago
Robert SchrollCenter for Integrative Science University of Chicago
George SellSchool of Mathematics University of Minnesota, Twin Cities
Shaun SellersDepartment of Mechanical and Aerospace Engineering Washington University
Chehrzad ShakibanInstitute of Mathematics and its Applications University of Minnesota, Twin Cities
Michael ShearerDepartment of Mathematics North Carolina State University
Michael SiegelDepartment of Mathematical Sciences New Jersey Institute of Technology
Jey SivaloganathanDepartment of Mathematical Sciences University of Bath
Dejan SlepcevDepartment of Mathematical Sciences Carnegie Mellon University
Scott SpectorDepartment of Mathematics Southern Illinois University
Daniel SpirnSchool of Mathematics University of Minnesota, Twin Cities
Paul SteenDepartment of Chemical and Biomolecular Engineering Cornell University
Peter TaborekDepartment of Physics and Astronomy University of California, Irvine
Saleh TanveerDepartment of Mathematics The Ohio State University
Sigurdur ThoroddsenDepartment of Mechanical Engineering National University of Singapore
Konstantin TuritsynJames Franck Institute University of Chicago
Henrik van LengerichSchool of Chemical and Biomolecular Engineering Cornell University
Emmanuel Villermaux IRPHE - Institut de Recherche sur les Phénoménes Hors Équilibre
Vincenzo VitelliDepartment of Physics & Astronomy University of Pennsylvania
Barbara WagnerThermodynamic Modeling and Analysis of Phase Transitions Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS)
Jon WilkeningMathematics Department University of California, Berkeley
Thomas WitelskiMathematical Institute Duke University
Thomas WittenJames Franck Institute University of Chicago
Giovanni ZanzottoDMMMSA Università di Padova
Wendy ZhangJames Franck Institute University of Chicago

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