Organized by John Cardy, Greg Lawler and Paul Wiegmann
The workshop will focus on the mathematical and physical understanding of the interrelations between Conformal Field Theory and Schramm Loewner Evolution, as well as their relation to discrete lattice systems such as percolation, Ising models, Potts models, loop models, and dimers. The other topics covered will include Conformal Loop Ensembles, the Gaussian Free Field and Quantum Gravity, discrete holomorphicity and integrability, disordered lattice models including network models of Anderson localization, and random maps (such as random triangulations).
This workshop is a part of the Spring 2013 program Conformal Geometry, which is organized by Ilia Binder, John Cardy, Andrei Okounkov, and Paul Wiegmann
Attendee ListDownload Poster Schedule PDFView Videos
Conformal Invariance Workshop Schedule
| Time | Title | Presenters | Video |
| 10:00am | On the probability that a loop-erased walk contains a particular edge | Greg Lawler | video |
| 11:15am | Conformal Uniformization of CLE Carpets | Brent Werness | video |
| 12:15pm | Lunch | ||
| 2:15pm | Multifractal spectrum of harmonic measure | Dmitry Belyaev | video |
| 2:50pm | Dimension Spectrum of SLE Boundary Collisions | Tom Alberts | video |
| 3:30pm | Tea Time | ||
| 4:00pm | Conformal restriction in Anderson transitions | Eldad Bettelheim | Not Recorded |
| 4:35pm | The Green’s function for the radial Schramm-Loewner evolution | Michael Kozdron | video |
| Time | Title | Presenters | Video |
| 10:00am | Multifractality of Whole-Plane SLE | Bertrand Duplantier | video |
| 11:15am | SLE variants in the critical Ising model | Konstantin Izyurov | video |
| 12:15pm | Lunch | ||
| 2:15pm | Quantum group solutions to two SLE problems | Kalle Kytölä | video |
| 2:50pm | Conformal restriction, conformal geometry and vertex algebras | Benjamin Doyon | video |
| 3:30pm | Tea Time | ||
| 4:00pm | Asymptotic expansion of polyanalytic Bergman kernels | Haakan Hedenmalm | video |
| 4:35pm | Distribution of eigenvalues of random normal matrices near the edge of the spectrum | Nam-Gyu Kang | video |
| 6:00pm | FAX Pattern Exhibition: 3D Printing Demonstration by Phil Webster | Simons Center Art Gallery | |
| 7:00pm | Moroccan Food Tasting with Wine Pairings and Live Music | Simons Center Cafe |
| Time | Title | Presenters | Video |
| 10:00am | Banded states in the Ising model | Richard Kenyon | video |
| 11:15am | Self-avoiding walks in a rectangular domain | Tony Guttman | video |
| 12:15pm | Lunch | ||
| 2:15pm | Convergence of random curves to Loewner evolutions | Antti Kemppainen | video |
| 3:30pm | Tea Time | ||
| 6:00pm | Wine and Cheese Reception With Live Music | Simons Center Lobby | |
| 6:30pm | Staged Readings of Science-Playwright Competition Winners | Simons Center Auditorium, Room 103 |
| Time | Title | Presenters | Video |
| 10:00am | TBA | Scott Sheffield | video |
| 11:15am | ODE/IM correspondence for the Fateev model | Sergei Lukyanov | video |
| 12:15pm | Lunch | ||
| 2:15pm | Recent developments on discrete holomorphicity and integrability | Murray Batchelor | video |
| 2:50pm | Connectivities of Potts Fortuin-Kasteleyn clusters and Liouville time-like correlator | Jacopo Viti | video |
| 3:30pm | Tea Time | ||
| 4:00pm | Clément Hongler- Planar Ising Model: discrete and continuous structures | Math Colloquim Lecture, Simons Center Room 102 | video |
| 7:15pm | Banquet Dinner | Simons Center Cafe |
| Time | Title | Presenters | Video |
| 10:00am | On the continuity of SLE(\kappa) in \kappa and related results | Fredrik Viklund | video |
| 11:15am | Power law convergence of crossing probabilities for critical percolation | Ilia Binder | video |
| 12:15pm | Lunch | ||
| 2:00pm | Quasi-classical expansion of the star-triangle relation and integrable systems on quad-graphs | Vladimir Bazhanov | video |
| 2:35pm | Conformal invariance of Ising Model Fields and Correlations | Clément Hongler | video |
| 3:30pm | Tea Time |