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Seminars (RGMW01)

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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.

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
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 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
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 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
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 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
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.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons