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

Monday, January 9, 2023

2:00 PM Welcome address
Welcome address
2:00 PM - 2:10 PM
Room: Amphitheater Darboux
2:10 PM Twisted geometries and spin network states - Simone Speziale (CPT, Marseille)
Twisted geometries and spin network states
- Simone Speziale (CPT, Marseille)
2:10 PM - 3:10 PM
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.
3:10 PM coffee break
coffee break
3:10 PM - 3:40 PM
Room: Amphitheater Darboux
3:40 PM Twisted geometries and spin network states - Simone Speziale (CPT, Marseille)
Twisted geometries and spin network states
- Simone Speziale (CPT, Marseille)
3:40 PM - 4:40 PM
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.
Tuesday, January 10, 2023
9:30 AM Twisted geometries and spin network states - Simone Speziale (CPT, Marseille)
Twisted geometries and spin network states
- Simone Speziale (CPT, Marseille)
9:30 AM - 10:30 AM
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 AM coffee break
coffee break
10:30 AM - 11:00 AM
Room: Amphitheater Darboux
11:00 AM Twisted geometries and spin network states - Simone Speziale (CPT, Marseille)
Twisted geometries and spin network states
- Simone Speziale (CPT, Marseille)
11:00 AM - 12:00 PM
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.
Wednesday, January 11, 2023
9:30 AM Lattice gravity - Jan Ambjorn (NBI, Denmark)
Lattice gravity
- Jan Ambjorn (NBI, Denmark)
9:30 AM - 10:30 AM
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 AM coffee break
coffee break
10:30 AM - 11:00 AM
Room: Amphitheater Darboux
11:00 AM Lattice gravity - Jan Ambjorn (NBI, Denmark)
Lattice gravity
- Jan Ambjorn (NBI, Denmark)
11:00 AM - 12:00 PM
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.
Thursday, January 12, 2023
9:30 AM Quantum groups in a (coco) nutshell - Florian Girelli (U. Waterloo)
Quantum groups in a (coco) nutshell
- Florian Girelli (U. Waterloo)
9:30 AM - 10:30 AM
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 AM coffee break
coffee break
10:30 AM - 11:00 AM
Room: Amphitheater Darboux
11:00 AM Quantum groups in a (coco) nutshell - Florian Girelli (U. Waterloo)
Quantum groups in a (coco) nutshell
- Florian Girelli (U. Waterloo)
11:00 AM - 12:00 PM
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.
2:00 PM Lattice gravity - Jan Ambjorn (NBI, Denmark)
Lattice gravity
- Jan Ambjorn (NBI, Denmark)
2:00 PM - 3:00 PM
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.
3:00 PM coffee break
coffee break
3:00 PM - 3:30 PM
Room: Amphitheater Darboux
3:30 PM Lattice gravity - Jan Ambjorn (NBI, Denmark)
Lattice gravity
- Jan Ambjorn (NBI, Denmark)
3:30 PM - 4:30 PM
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.
Friday, January 13, 2023
9:30 AM Quantum groups in a (coco) nutshell - Florian Girelli (U. Waterloo)
Quantum groups in a (coco) nutshell
- Florian Girelli (U. Waterloo)
9:30 AM - 10:30 AM
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 AM coffee break
coffee break
10:30 AM - 11:00 AM
Room: Amphitheater Darboux
11:00 AM Quantum groups in a (coco) nutshell - Florian Girelli (U. Waterloo)
Quantum groups in a (coco) nutshell
- Florian Girelli (U. Waterloo)
11:00 AM - 12:00 PM
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.
Saturday, January 14, 2023
Sunday, January 15, 2023

Monday, January 16, 2023

9:30 AM Workshop on Quantum Gravity and Random Geometry
Workshop on Quantum Gravity and Random Geometry
9:30 AM - 4:50 PM
Room: Amphithéâtre Hermite
Tuesday, January 17, 2023

9:30 AM Workshop on Quantum Gravity and Random Geometry
Workshop on Quantum Gravity and Random Geometry
9:30 AM - 4:50 PM
Room: Amphithéâtre Hermite
Wednesday, January 18, 2023

9:30 AM Workshop on Quantum Gravity and Random Geometry
Workshop on Quantum Gravity and Random Geometry
9:30 AM - 12:30 PM
Room: Amphithéâtre Hermite
Thursday, January 19, 2023

9:30 AM Workshop on Quantum Gravity and Random Geometry
Workshop on Quantum Gravity and Random Geometry
9:30 AM - 5:40 PM
Room: Amphithéâtre Hermite
Friday, January 20, 2023

9:30 AM Workshop on Quantum Gravity and Random Geometry
Workshop on Quantum Gravity and Random Geometry
9:30 AM - 12:30 PM
Room: Amphithéâtre Hermite
Saturday, January 21, 2023
Sunday, January 22, 2023

Monday, January 23, 2023
Tuesday, January 24, 2023
Wednesday, January 25, 2023
Thursday, January 26, 2023
Friday, January 27, 2023
2:00 PM Enumeration of bicolored maps: investigating a holographic recursion - Ariane Carrance
Enumeration of bicolored maps: investigating a holographic recursion
- Ariane Carrance
2:00 PM - 4:00 PM
Room: 01
Saturday, January 28, 2023
Sunday, January 29, 2023

Monday, February 6, 2023

9:30 AM Workshop on Tensor Models and Holography
Workshop on Tensor Models and Holography
9:30 AM - 5:00 PM
Room: Amphithéâtre Hermite
Tuesday, February 7, 2023

9:30 AM Workshop on Tensor Models and Holography
Workshop on Tensor Models and Holography
9:30 AM - 5:00 PM
Room: Amphithéâtre Hermite
Wednesday, February 8, 2023

9:30 AM Workshop on Tensor Models and Holography
Workshop on Tensor Models and Holography
9:30 AM - 12:00 PM
Room: Amphithéâtre Hermite
Thursday, February 9, 2023

9:30 AM Workshop on Tensor Models and Holography
Workshop on Tensor Models and Holography
9:30 AM - 5:00 PM
Room: Amphithéâtre Hermite
Friday, February 10, 2023

9:30 AM Workshop on Tensor Models and Holography
Workshop on Tensor Models and Holography
9:30 AM - 12:00 PM
Room: Amphithéâtre Hermite
Saturday, February 11, 2023
Sunday, February 12, 2023

Monday, February 13, 2023
Tuesday, February 14, 2023
Wednesday, February 15, 2023
10:00 AM Peeking at quantum gravity with self-overlapping curves - Nicolas Delporte (OIST)
Peeking at quantum gravity with self-overlapping curves
- Nicolas Delporte (OIST)
10:00 AM - 12:00 PM
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.
Thursday, February 16, 2023
Friday, February 17, 2023