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Workshop on Quantum Gravity and Random Geometry
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Quantum gravity, random geometry and holography
from
Monday, January 9, 2023 (8:30 AM)
to
Friday, February 17, 2023 (8:30 PM)
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 backgroundindependent 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 noncommuting 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 backgroundindependent 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 noncommuting 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 backgroundindependent 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 noncommuting 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 backgroundindependent 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 noncommuting 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 nonperturbative 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 twodimensional spacetimes. There are several ways to generalize the twodimensional 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 nonperturbative 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 twodimensional spacetimes. There are several ways to generalize the twodimensional 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 nontrivial 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 nontrivial 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 nonperturbative 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 twodimensional spacetimes. There are several ways to generalize the twodimensional 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 nonperturbative 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 twodimensional spacetimes. There are several ways to generalize the twodimensional 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 nontrivial 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 nontrivial 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, January 30, 2023
9:30 AM
Holography for Higher Spin Gravity

Robert de Mello Koch
Holography for Higher Spin Gravity
Robert de Mello Koch
9:30 AM  10:30 AM
Room: Amphitheater Darboux
After a brief review of the original argument due to Maldacena for a holographic duality between IIB string theory on AdS$_5\times$S$^5$ and maximally supersymmetric YangMills theory, we turn to the duality between the free O(N) vector model in 2+1 dimensions and higher spin gravity on AdS$_4$. For this theory we study the spectrum of single trace primaries of the CFT, which is dual to the spectrum of fields in higher spin gravity. By formulating the CFT in terms of bilocal variables, using the formalism of collective field theory, we demonstrate how the gravitational theory can be constructed. This example demonstrates a number of recently discovered phenomena in quantum gravity including the quantum error correction interpretation of holography, entanglement wedge reconstruction and the holography of information.
10:30 AM
Coffee break
Coffee break
10:30 AM  11:00 AM
Room: Amphitheater Darboux
11:00 AM
Holography for Higher Spin Gravity

Robert de Mello Koch
Holography for Higher Spin Gravity
Robert de Mello Koch
11:00 AM  12:00 PM
Room: Amphitheater Darboux
After a brief review of the original argument due to Maldacena for a holographic duality between IIB string theory on AdS$_5\times$S$^5$ and maximally supersymmetric YangMills theory, we turn to the duality between the free O(N) vector model in 2+1 dimensions and higher spin gravity on AdS$_4$. For this theory we study the spectrum of single trace primaries of the CFT, which is dual to the spectrum of fields in higher spin gravity. By formulating the CFT in terms of bilocal variables, using the formalism of collective field theory, we demonstrate how the gravitational theory can be constructed. This example demonstrates a number of recently discovered phenomena in quantum gravity including the quantum error correction interpretation of holography, entanglement wedge reconstruction and the holography of information.
Tuesday, January 31, 2023
9:30 AM
Holography for Higher Spin Gravity

Robert de Mello Koch
Holography for Higher Spin Gravity
Robert de Mello Koch
9:30 AM  10:30 AM
Room: Amphitheatre Hermite
After a brief review of the original argument due to Maldacena for a holographic duality between IIB string theory on AdS$_5\times$S$^5$ and maximally supersymmetric YangMills theory, we turn to the duality between the free O(N) vector model in 2+1 dimensions and higher spin gravity on AdS$_4$. For this theory we study the spectrum of single trace primaries of the CFT, which is dual to the spectrum of fields in higher spin gravity. By formulating the CFT in terms of bilocal variables, using the formalism of collective field theory, we demonstrate how the gravitational theory can be constructed. This example demonstrates a number of recently discovered phenomena in quantum gravity including the quantum error correction interpretation of holography, entanglement wedge reconstruction and the holography of information.
10:30 AM
Coffee break
Coffee break
10:30 AM  11:00 AM
Room: Amphitheater Darboux
11:00 AM
Holography for Higher Spin Gravity

Robert de Mello Koch
Holography for Higher Spin Gravity
Robert de Mello Koch
11:00 AM  12:00 PM
Room: Amphitheatre Hermite
After a brief review of the original argument due to Maldacena for a holographic duality between IIB string theory on AdS$_5\times$S$^5$ and maximally supersymmetric YangMills theory, we turn to the duality between the free O(N) vector model in 2+1 dimensions and higher spin gravity on AdS$_4$. For this theory we study the spectrum of single trace primaries of the CFT, which is dual to the spectrum of fields in higher spin gravity. By formulating the CFT in terms of bilocal variables, using the formalism of collective field theory, we demonstrate how the gravitational theory can be constructed. This example demonstrates a number of recently discovered phenomena in quantum gravity including the quantum error correction interpretation of holography, entanglement wedge reconstruction and the holography of information.
Wednesday, February 1, 2023
9:30 AM
Groups, algebras and hidden symmetries of matrix/tensor models

Sanjaye Ramgoolam
Groups, algebras and hidden symmetries of matrix/tensor models
Sanjaye Ramgoolam
9:30 AM  10:30 AM
Room: Amphitheatre Hermite
10:30 AM
Coffee break
Coffee break
10:30 AM  11:00 AM
Room: Amphitheater Darboux
11:00 AM
Groups, algebras and hidden symmetries of matrix/tensor models

Sanjaye Ramgoolam
Groups, algebras and hidden symmetries of matrix/tensor models
Sanjaye Ramgoolam
11:00 AM  12:00 PM
Room: Amphitheatre Hermite
Thursday, February 2, 2023
9:30 AM
Groups, algebras and hidden symmetries of matrix/tensor models

Sanjaye Ramgoolam
Groups, algebras and hidden symmetries of matrix/tensor models
Sanjaye Ramgoolam
9:30 AM  10:30 AM
Room: Amphitheatre Hermite
10:30 AM
Coffee break
Coffee break
10:30 AM  11:00 AM
Room: Amphitheater Darboux
11:00 AM
Groups, algebras and hidden symmetries of matrix/tensor models

Sanjaye Ramgoolam
Groups, algebras and hidden symmetries of matrix/tensor models
Sanjaye Ramgoolam
11:00 AM  12:00 PM
Room: Amphitheatre Hermite
2:00 PM
From random tensors to tensor field theory

Razvan Gurau
(
ITP, Heidelberg
)
From random tensors to tensor field theory
Razvan Gurau
(
ITP, Heidelberg
)
2:00 PM  3:00 PM
Room: Amphitheatre Hermite
Random tensors exhibit a 1/N expansion dominated by melonic graphs. The large N limit of these models is thus richer than the large N limit of vector models, but more amenable to computations than the one of matrix models. This series of lectures is divided into two parts. In the first part I will review the melonic large N limit in combinatorial tensor and vector/tensor models. In the second part I will discuss the O(N)^3 field theory in the large N limit.
3:00 PM
Coffee break
Coffee break
3:00 PM  3:30 PM
Room: Amphitheater Darboux
3:30 PM
From random tensors to tensor field theory

Razvan Gurau
(
ITP, Heidelberg
)
From random tensors to tensor field theory
Razvan Gurau
(
ITP, Heidelberg
)
3:30 PM  4:30 PM
Room: Amphitheatre Hermite
Random tensors exhibit a 1/N expansion dominated by melonic graphs. The large N limit of these models is thus richer than the large N limit of vector models, but more amenable to computations than the one of matrix models. This series of lectures is divided into two parts. In the first part I will review the melonic large N limit in combinatorial tensor and vector/tensor models. In the second part I will discuss the O(N)^3 field theory in the large N limit.
Friday, February 3, 2023
9:30 AM
From random tensors to tensor field theory

Razvan Gurau
(
ITP, Heidelberg
)
From random tensors to tensor field theory
Razvan Gurau
(
ITP, Heidelberg
)
9:30 AM  10:30 AM
Room: Amphitheater Darboux
Random tensors exhibit a 1/N expansion dominated by melonic graphs. The large N limit of these models is thus richer than the large N limit of vector models, but more amenable to computations than the one of matrix models. This series of lectures is divided into two parts. In the first part I will review the melonic large N limit in combinatorial tensor and vector/tensor models. In the second part I will discuss the O(N)^3 field theory in the large N limit.
10:30 AM
Coffee break
Coffee break
10:30 AM  11:00 AM
Room: Amphitheater Darboux
11:00 AM
From random tensors to tensor field theory

Razvan Gurau
(
ITP, Heidelberg
)
From random tensors to tensor field theory
Razvan Gurau
(
ITP, Heidelberg
)
11:00 AM  12:00 PM
Room: Amphitheater Darboux
Random tensors exhibit a 1/N expansion dominated by melonic graphs. The large N limit of these models is thus richer than the large N limit of vector models, but more amenable to computations than the one of matrix models. This series of lectures is divided into two parts. In the first part I will review the melonic large N limit in combinatorial tensor and vector/tensor models. In the second part I will discuss the O(N)^3 field theory in the large N limit.
Saturday, February 4, 2023
Sunday, February 5, 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
9:00 AM
Workshop on Tensor Models and Holography
Workshop on Tensor Models and Holography
9:00 AM  12:30 PM
Room: Amphithéâtre Hermite
Saturday, February 11, 2023
Sunday, February 12, 2023
Monday, February 13, 2023
Tuesday, February 14, 2023
Wednesday, February 15, 2023
Thursday, February 16, 2023
Friday, February 17, 2023