Name: Quantum gravity, random geometry and holography
Start: 2023-01-09T08:30:00+01:00
End: 2023-02-17T20:30:00+01:00
Location: IHP

lundi 9 janvier 2023

14:00 Welcome address
Welcome address
14:00 - 14:10
Room: Amphitheater Darboux
14:10 Twisted geometries and spin network states - Simone Speziale (CPT, Marseille)
Twisted geometries and spin network states
- Simone Speziale (CPT, Marseille)
14:10 - 15:10
Room: Amphitheater Darboux Loop quantum gravity is a background-independent approach to the quantization of general relativity. The fundamental states of the theory are described by spin networks, states associated with graphs whose quantum numbers give the spectra of discrete and non-commuting geometric operators. On a fixed graph, the quantum numbers can be interpreted as a collection of fuzzy polyhedra describing a twisted geometry. The maths describing the twisted geometry uses an amusing interplay of symplectic geometry, group theory and Regge geometry which I will describe in some details. There is also a connection to twistors that I will briefly discuss.
15:10 coffee break
coffee break
15:10 - 15:40
Room: Amphitheater Darboux
15:40 Twisted geometries and spin network states - Simone Speziale (CPT, Marseille)
Twisted geometries and spin network states
- Simone Speziale (CPT, Marseille)
15:40 - 16:40
Room: Amphitheater Darboux Loop quantum gravity is a background-independent approach to the quantization of general relativity. The fundamental states of the theory are described by spin networks, states associated with graphs whose quantum numbers give the spectra of discrete and non-commuting geometric operators. On a fixed graph, the quantum numbers can be interpreted as a collection of fuzzy polyhedra describing a twisted geometry. The maths describing the twisted geometry uses an amusing interplay of symplectic geometry, group theory and Regge geometry which I will describe in some details. There is also a connection to twistors that I will briefly discuss.
mardi 10 janvier 2023
09:30 Twisted geometries and spin network states - Simone Speziale (CPT, Marseille)
Twisted geometries and spin network states
- Simone Speziale (CPT, Marseille)
09:30 - 10:30
Room: Amphitheater Darboux Loop quantum gravity is a background-independent approach to the quantization of general relativity. The fundamental states of the theory are described by spin networks, states associated with graphs whose quantum numbers give the spectra of discrete and non-commuting geometric operators. On a fixed graph, the quantum numbers can be interpreted as a collection of fuzzy polyhedra describing a twisted geometry. The maths describing the twisted geometry uses an amusing interplay of symplectic geometry, group theory and Regge geometry which I will describe in some details. There is also a connection to twistors that I will briefly discuss.
10:30 coffee break
coffee break
10:30 - 11:00
Room: Amphitheater Darboux
11:00 Twisted geometries and spin network states - Simone Speziale (CPT, Marseille)
Twisted geometries and spin network states
- Simone Speziale (CPT, Marseille)
11:00 - 12:00
Room: Amphitheater Darboux Loop quantum gravity is a background-independent approach to the quantization of general relativity. The fundamental states of the theory are described by spin networks, states associated with graphs whose quantum numbers give the spectra of discrete and non-commuting geometric operators. On a fixed graph, the quantum numbers can be interpreted as a collection of fuzzy polyhedra describing a twisted geometry. The maths describing the twisted geometry uses an amusing interplay of symplectic geometry, group theory and Regge geometry which I will describe in some details. There is also a connection to twistors that I will briefly discuss.
mercredi 11 janvier 2023
09:30 Lattice gravity - Jan Ambjorn (NBI, Denmark)
Lattice gravity
- Jan Ambjorn (NBI, Denmark)
09:30 - 10:30
Room: Amphitheater Darboux Lattice quantum field theory has been very successful as a tool to study non-perturbative aspects of quantum field theory. These lectures describe how the QUANTUM theory of General Relativity can also be formulated as a lattice theory. It is (very) successful in the case of two-dimensional spacetimes. There are several ways to generalize the two-dimensional lattice theory to higher dimensions, but amazingly they lead to the same modified Friedmann equation that seems to resolve all tension present between early time and late time cosmological data. The modified Friedmann equation has no cosmological constant. Instead the present expansion of the universe is caused by the creation of baby universes and links the dynamics of the very early universe to its final destiny.
10:30 coffee break
coffee break
10:30 - 11:00
Room: Amphitheater Darboux
11:00 Lattice gravity - Jan Ambjorn (NBI, Denmark)
Lattice gravity
- Jan Ambjorn (NBI, Denmark)
11:00 - 12:00
Room: Amphitheater Darboux Lattice quantum field theory has been very successful as a tool to study non-perturbative aspects of quantum field theory. These lectures describe how the QUANTUM theory of General Relativity can also be formulated as a lattice theory. It is (very) successful in the case of two-dimensional spacetimes. There are several ways to generalize the two-dimensional lattice theory to higher dimensions, but amazingly they lead to the same modified Friedmann equation that seems to resolve all tension present between early time and late time cosmological data. The modified Friedmann equation has no cosmological constant. Instead the present expansion of the universe is caused by the creation of baby universes and links the dynamics of the very early universe to its final destiny.
jeudi 12 janvier 2023
09:30 Quantum groups in a (coco) nutshell - Florian Girelli (U. Waterloo)
Quantum groups in a (coco) nutshell
- Florian Girelli (U. Waterloo)
09:30 - 10:30
Room: Amphitheater Darboux (Lie) Groups are typically seen as encoding a symmetry structure. For some phase spaces, the symmetry structure might need to be equipped with a non-trivial Poisson structure, which must then be compatible with the group product (to have a well defined symmetry action). This defines the notion of Poisson Lie group. When quantizing the system, the Poisson Lie group becomes a quantum group. I will provide a compact introduction to these concepts having in mind as leading example, the 3d (quantum) gravity framework, where such Poisson Lie/quantum symmetries are key to understand the quantum theory.
10:30 coffee break
coffee break
10:30 - 11:00
Room: Amphitheater Darboux
11:00 Quantum groups in a (coco) nutshell - Florian Girelli (U. Waterloo)
Quantum groups in a (coco) nutshell
- Florian Girelli (U. Waterloo)
11:00 - 12:00
Room: Amphitheater Darboux (Lie) Groups are typically seen as encoding a symmetry structure. For some phase spaces, the symmetry structure might need to be equipped with a non-trivial Poisson structure, which must then be compatible with the group product (to have a well defined symmetry action). This defines the notion of Poisson Lie group. When quantizing the system, the Poisson Lie group becomes a quantum group. I will provide a compact introduction to these concepts having in mind as leading example, the 3d (quantum) gravity framework, where such Poisson Lie/quantum symmetries are key to understand the quantum theory.
14:00 Lattice gravity - Jan Ambjorn (NBI, Denmark)
Lattice gravity
- Jan Ambjorn (NBI, Denmark)
14:00 - 15:00
Room: Amphitheater Darboux Lattice quantum field theory has been very successful as a tool to study non-perturbative aspects of quantum field theory. These lectures describe how the QUANTUM theory of General Relativity can also be formulated as a lattice theory. It is (very) successful in the case of two-dimensional spacetimes. There are several ways to generalize the two-dimensional lattice theory to higher dimensions, but amazingly they lead to the same modified Friedmann equation that seems to resolve all tension present between early time and late time cosmological data. The modified Friedmann equation has no cosmological constant. Instead the present expansion of the universe is caused by the creation of baby universes and links the dynamics of the very early universe to its final destiny.
15:00 coffee break
coffee break
15:00 - 15:30
Room: Amphitheater Darboux
15:30 Lattice gravity - Jan Ambjorn (NBI, Denmark)
Lattice gravity
- Jan Ambjorn (NBI, Denmark)
15:30 - 16:30
Room: Amphitheater Darboux Lattice quantum field theory has been very successful as a tool to study non-perturbative aspects of quantum field theory. These lectures describe how the QUANTUM theory of General Relativity can also be formulated as a lattice theory. It is (very) successful in the case of two-dimensional spacetimes. There are several ways to generalize the two-dimensional lattice theory to higher dimensions, but amazingly they lead to the same modified Friedmann equation that seems to resolve all tension present between early time and late time cosmological data. The modified Friedmann equation has no cosmological constant. Instead the present expansion of the universe is caused by the creation of baby universes and links the dynamics of the very early universe to its final destiny.
vendredi 13 janvier 2023
09:30 Quantum groups in a (coco) nutshell - Florian Girelli (U. Waterloo)
Quantum groups in a (coco) nutshell
- Florian Girelli (U. Waterloo)
09:30 - 10:30
Room: Amphitheater Darboux (Lie) Groups are typically seen as encoding a symmetry structure. For some phase spaces, the symmetry structure might need to be equipped with a non-trivial Poisson structure, which must then be compatible with the group product (to have a well defined symmetry action). This defines the notion of Poisson Lie group. When quantizing the system, the Poisson Lie group becomes a quantum group. I will provide a compact introduction to these concepts having in mind as leading example, the 3d (quantum) gravity framework, where such Poisson Lie/quantum symmetries are key to understand the quantum theory.
10:30 coffee break
coffee break
10:30 - 11:00
Room: Amphitheater Darboux
11:00 Quantum groups in a (coco) nutshell - Florian Girelli (U. Waterloo)
Quantum groups in a (coco) nutshell
- Florian Girelli (U. Waterloo)
11:00 - 12:00
Room: Amphitheater Darboux (Lie) Groups are typically seen as encoding a symmetry structure. For some phase spaces, the symmetry structure might need to be equipped with a non-trivial Poisson structure, which must then be compatible with the group product (to have a well defined symmetry action). This defines the notion of Poisson Lie group. When quantizing the system, the Poisson Lie group becomes a quantum group. I will provide a compact introduction to these concepts having in mind as leading example, the 3d (quantum) gravity framework, where such Poisson Lie/quantum symmetries are key to understand the quantum theory.
samedi 14 janvier 2023
dimanche 15 janvier 2023

lundi 16 janvier 2023

09:30 Workshop on Quantum Gravity and Random Geometry
Workshop on Quantum Gravity and Random Geometry
09:30 - 16:50
Room: Amphithéâtre Hermite
mardi 17 janvier 2023

09:30 Workshop on Quantum Gravity and Random Geometry
Workshop on Quantum Gravity and Random Geometry
09:30 - 16:50
Room: Amphithéâtre Hermite
mercredi 18 janvier 2023

09:30 Workshop on Quantum Gravity and Random Geometry
Workshop on Quantum Gravity and Random Geometry
09:30 - 12:30
Room: Amphithéâtre Hermite
jeudi 19 janvier 2023

09:30 Workshop on Quantum Gravity and Random Geometry
Workshop on Quantum Gravity and Random Geometry
09:30 - 17:40
Room: Amphithéâtre Hermite
vendredi 20 janvier 2023

09:30 Workshop on Quantum Gravity and Random Geometry
Workshop on Quantum Gravity and Random Geometry
09:30 - 12:30
Room: Amphithéâtre Hermite
samedi 21 janvier 2023
dimanche 22 janvier 2023

lundi 23 janvier 2023
mardi 24 janvier 2023
mercredi 25 janvier 2023
jeudi 26 janvier 2023
vendredi 27 janvier 2023
14:00 Enumeration of bicolored maps: investigating a holographic recursion - Ariane Carrance
Enumeration of bicolored maps: investigating a holographic recursion
- Ariane Carrance
14:00 - 16:00
Room: 01
samedi 28 janvier 2023
dimanche 29 janvier 2023

lundi 6 février 2023

09:30 Workshop on Tensor Models and Holography
Workshop on Tensor Models and Holography
09:30 - 17:00
Room: Amphithéâtre Hermite
mardi 7 février 2023

09:30 Workshop on Tensor Models and Holography
Workshop on Tensor Models and Holography
09:30 - 17:00
Room: Amphithéâtre Hermite
mercredi 8 février 2023

09:30 Workshop on Tensor Models and Holography
Workshop on Tensor Models and Holography
09:30 - 12:00
Room: Amphithéâtre Hermite
jeudi 9 février 2023

09:30 Workshop on Tensor Models and Holography
Workshop on Tensor Models and Holography
09:30 - 17:00
Room: Amphithéâtre Hermite
vendredi 10 février 2023

09:30 Workshop on Tensor Models and Holography
Workshop on Tensor Models and Holography
09:30 - 12:00
Room: Amphithéâtre Hermite
samedi 11 février 2023
dimanche 12 février 2023

lundi 13 février 2023
mardi 14 février 2023
mercredi 15 février 2023
10:00 Peeking at quantum gravity with self-overlapping curves - Nicolas Delporte (OIST)
Peeking at quantum gravity with self-overlapping curves
- Nicolas Delporte (OIST)
10:00 - 12:00
Room: 01 After a brief overview of the progress in 2d quantum gravity achieved through JT gravity, we will motivate the study of self-overlapping curves. In particular, we will explore some of their surprising geometrical and combinatorial properties.
jeudi 16 février 2023
vendredi 17 février 2023