Videos and presentation materials from other INI events are also available.

Event | When | Speaker | Title | Presentation Material |
---|---|---|---|---|

RGMW01 |
12th January 2015 10:00 to 11:00 |
JP Miller | Gaussian Free Field 1 | |

RGMW01 |
12th January 2015 11:30 to 12:30 |
Random Planar Maps 1
A map is a gluing of a finite number of polygons, forming a connected orientable topological surface. It can be interpreted as assigning this surface a discrete geometry, and the theoretical physics literature in the 80-90’s argued that random maps are an appropriate discrete model for the theory of 2-dimensional quantum gravity, which involves ill-defined integrals over all metrics on a given surface. The idea is to replace these integrals by finite sums, for instance over all triangulation of the sphere with a large number of faces, hoping that such triangulations approximate a limiting “continuum random surface”.
In the recent years, much progress has been made in the mathematical understanding of the latter problem. In particular, it is now known that many natural models of random planar maps, for which the faces degrees remain small, admit a universal scaling limit, the Brownian map. Other models, favorizing large faces, also admit a one-parameter family of scaling limits, called stable maps. The latter are believed to describe the asymptotic geometry of random maps carrying statistical physics models, as has now been established in some important cases (including the so-called rigid O(n) model on quadrangulations). This mini-course will review the main aspects of these themes. |
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RGMW01 |
13th January 2015 13:30 to 14:30 |
Schramm-Loewner Evolution 1 | ||

RGMW01 |
13th January 2015 15:00 to 16:00 |
Random Planar Maps 2
A map is a gluing of a finite number of polygons, forming a connected orientable topological surface. It can be interpreted as assigning this surface a discrete geometry, and the theoretical physics literature in the 80-90’s argued that random maps are an appropriate discrete model for the theory of 2-dimensional quantum gravity, which involves ill-defined integrals over all metrics on a given surface. The idea is to replace these integrals by finite sums, for instance over all triangulation of the sphere with a large number of faces, hoping that such triangulations approximate a limiting “continuum random surface”.
In the recent years, much progress has been made in the mathematical understanding of the latter problem. In particular, it is now known that many natural models of random planar maps, for which the faces degrees remain small, admit a universal scaling limit, the Brownian map. Other models, favorizing large faces, also admit a one-parameter family of scaling limits, called stable maps. The latter are believed to describe the asymptotic geometry of random maps carrying statistical physics models, as has now been established in some important cases (including the so-called rigid O(n) model on quadrangulations). This mini-course will review the main aspects of these themes. |
||

RGMW01 |
13th January 2015 16:00 to 17:00 |
JP Miller | Gaussian Free Field 2 | |

RGMW01 |
14th January 2015 09:00 to 10:00 |
Random Planar Maps 3
A map is a gluing of a finite number of polygons, forming a connected orientable topological surface. It can be interpreted as assigning this surface a discrete geometry, and the theoretical physics literature in the 80-90’s argued that random maps are an appropriate discrete model for the theory of 2-dimensional quantum gravity, which involves ill-defined integrals over all metrics on a given surface. The idea is to replace these integrals by finite sums, for instance over all triangulation of the sphere with a large number of faces, hoping that such triangulations approximate a limiting “continuum random surface”.
In the recent years, much progress has been made in the mathematical understanding of the latter problem. In particular, it is now known that many natural models of random planar maps, for which the faces degrees remain small, admit a universal scaling limit, the Brownian map. Other models, favorizing large faces, also admit a one-parameter family of scaling limits, called stable maps. The latter are believed to describe the asymptotic geometry of random maps carrying statistical physics models, as has now been established in some important cases (including the so-called rigid O(n) model on quadrangulations). This mini-course will review the main aspects of these themes. |
||

RGMW01 |
14th January 2015 10:00 to 11:00 |
Schramm-Loewner Evolution 2 | ||

RGMW01 |
15th January 2015 13:30 to 14:30 |
Schramm-Loewner Evolution 3 | ||

RGMW01 |
15th January 2015 15:00 to 16:00 |
JP Miller | Gaussian Free Field 3 | |

RGMW01 |
15th January 2015 16:00 to 17:00 |
Random Planar Maps 4 This mini-course will review the main aspects of these themes. |
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RGMW01 |
16th January 2015 09:00 to 10:00 |
Discrete Lattice Models 1 | ||

RGMW01 |
16th January 2015 10:00 to 11:00 |
Discrete Lattice Models 2 | ||

RGMW01 |
19th January 2015 10:00 to 11:00 |
Gaussian Multiplicative Chaos 1 | ||

RGMW01 |
19th January 2015 11:30 to 12:30 |
JP Miller | Gaussian Free Field 4 | |

RGMW01 |
19th January 2015 13:30 to 14:30 |
Gaussian Multiplicative Chaos 2 | ||

RGMW01 |
19th January 2015 15:00 to 16:00 |
Discrete Lattice Models 3 | ||

RGMW01 |
20th January 2015 09:00 to 10:00 |
Schramm-Loewner Evolution 4 | ||

RGMW01 |
20th January 2015 10:00 to 11:00 |
Gaussian Multiplicative Chaos 3 | ||

RGMW01 |
20th January 2015 13:30 to 14:30 |
Gaussian Multiplicative Chaos 4 | ||

RGMW01 |
20th January 2015 15:00 to 16:00 |
JP Miller | Gaussian Free Field 5 | |

RGMW01 |
21st January 2015 09:00 to 10:00 |
Discrete Lattice Models 4 | ||

RGMW01 |
21st January 2015 10:00 to 11:00 |
Schramm-Loewner Evolution 5 | ||

RGMW01 |
21st January 2015 11:30 to 12:30 |
Random Planar Maps 5 This mini-course will review the main aspects of these themes. |
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RGMW01 |
21st January 2015 13:30 to 14:30 |
Gaussian Multiplicative Chaos 5 | ||

RGMW01 |
21st January 2015 15:00 to 16:00 |
J Miller | Gaussian Multiplicative Chaos 6 | |

RGMW01 |
22nd January 2015 09:00 to 10:00 |
Schramm-Loewner Evolution 6 | ||

RGMW01 |
22nd January 2015 10:00 to 11:00 |
Random Planar Maps 6 This mini-course will review the main aspects of these themes. |
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RGMW01 |
22nd January 2015 11:30 to 12:30 |
Gaussian Multiplicative Chaos 6 | ||

RGMW01 |
22nd January 2015 15:00 to 16:00 |
Discrete Lattice Models 5 | ||

RGMW01 |
23rd January 2015 09:00 to 10:00 |
JP Miller | Gaussian Free Field 7 | |

RGMW01 |
23rd January 2015 10:00 to 11:00 |
Gaussian Multiplicative Chaos 7 | ||

RGMW01 |
23rd January 2015 11:30 to 12:30 |
Discrete Lattice Models 6 | ||

RGMW01 |
23rd January 2015 13:30 to 14:30 |
Schramm-Loewner Evolution 7 | ||

RGMW01 |
23rd January 2015 15:00 to 16:00 |
Random Planar Maps 7 This mini-course will review the main aspects of these themes. |