Random tensors and related topics

30 sept. 2024, 08:30 → 18 oct. 2024, 19:30 Europe/Paris

IHP

Thematic programme at the Institut Henri Poincaré, Paris

The conferences and courses of this programme will also be accessible online.

The main webpage of the event can be found at this address.

Registration is free but mandatory.

 

ABOUT THE PROGRAMME

Random tensors are expected to play a growing role in many areas of mathematics, physics, and computer science, but communities working with tensors have developed different approaches to their study, with different tools and results. This is the second event in a series of encounters (first one here) aimed at exploring the connections between these approaches at the technical and conceptual level, with an emphasis on mathematics and statistics, quantum information, condensed matter physics, and quantum gravity and discrete geometry.

 

SCHOOL : SEPTEMBER 30 - OCTOBER 4

>> The school will revolve around five mini lectures:  

Gerard Ben-Arous // Courant Institute, NYU // USA

Matthias Christandl // U of Copenhagen // Denmark

Sabine Harribey // Nordita // Sweden

Ion Nechita // CNRS - U of Toulouse // France

David Perez-Garcia // U Complutense de Madrid // Spain

 

MIDDLE WEEK: OCTOBER 7 - 11

>> There will be three doctoral courses during this week:  

Guillaume Aubrun // U de Lyon 1 // France

Frédéric Holweck // U de Technologie de Belfort-Montbéliard // France

Mohamed El Amine Seddik // Technology Innovation Institute // Abu Dhabi

>> On Friday October 11, there will be a thematic day organized jointly with the GDR Matrices et Graphes Aléatoires (MEGA).

The speakers will be: Afonso Bandeira, José Henrique de Morais Goulart, and Yizhe Zhu.

 

CONFERENCE : OCTOBER 14 - 18

Mari-Carmen Bañuls	Max Planck Institute of Quantum Optics	Germany
Sylvain Carrozza	U de Bourgogne	France
Dario Benedetti	Ecole Polytechnique	France
Leticia Cugliandolo	Sorbonne U	France
Razvan Gurau	U Heidelberg	Germany
Aram Harrow	MIT	USA
Tomohiro Hayase	Cluster Metaverse Lab	Japan
Maria Jivulescu	Politehnica U of Timisoara	Romania
Pax Kivimae	Courant Institute, NYU	USA
Joseph Landsberg	Texas A&M U	USA
Benjamin McKenna	Harvard U	USA
James A. Mingo	Queen's U	Canada
Alexander Müller-Hermes	U of Oslo	Norway
Yoshiko Ogata	RIMS - Kyoto U	Japan
Carlos Palazuelos	Complutense U of Madrid	Spain
Valentina Ros	CNRS - U Paris-Saclay	France
Norbert Schuch	U of Vienna	Austria
Stanislaw Szarek	Case Western Reserve U & Sorbonne U	USA & France
Sarah Timhadjelt	U Bonn	Germany
Peter Vrana	Budapest U of Technology and Economics	Hungary
Michael Walter	Ruhr U Bochum	Germany
Freek Witteveen	U of Copenhagen	Denmark

 

 

 

 

ORGANIZING COMMITTEE

• Benoit Collins (Kyoto U)
• Stéphane Dartois (U Paris-Saclay, CEA List)
• Cécilia Lancien (CNRS, U Grenoble Alpes)
• Luca Lionni (CNRS, ENS de Lyon)

 

This event is organized in partnership with the Clay Mathematics Institute and Qube Research & Technologies.

 

lundi 30 septembre

1 Gérard Ben Arous - Lecture 1

Random Tensors: from Spin Glasses to Data Science

10:45 Coffee break

2 David Pérez-Garcia - Lecture 1

Tensor Networks: a mathematical tool to understand exotic quantum phases of matter

12:30 Lunch break

3 Sabine Harribey - Lecture 1

An introduction to tensor models: from random geometry to melonic CFTs

15:45 Coffee break

4 Ion Nechita - Lecture 1

Tensor freeness and applications to quantum information theory

mardi 1 octobre

5 Ion Nechita - Lecture 2

Tensor freeness and applications to quantum information theory

12:30 Lunch break

6 David Pérez-Garcia - Lecture 2

Tensor Networks: a mathematical tool to understand exotic quantum phases of matter

15:45 Coffee break

7 Gérard Ben Arous - Lecture 2

Random Tensors: from Spin Glasses to Data Science

mercredi 2 octobre

8 Sabine Harribey - Lecture 2

An introduction to tensor models: from random geometry to melonic CFTs

10:45 Coffee break

9 Matthias Christandl - Lecture 1

The Tensor as an Informational Resource

12:30 Lunch break

Short contributed talks: Pierre Botteron

Short contributed talks: Naoki Sasakura

Short contributed talks: Sang-Jun Park

Short contributed talks: Issa-Mbenard Dabo

Short contributed talks: Vanessa Piccolo

Short contributed talks: Hugo Lebeau

Short contributed talks: Anas Rahman

16:00 Coffee break

Short contributed talks: Marco Fanizza

Short contributed talks: Marta Florido-Llinas

Short contributed talks: Guglielmo Lami

Short contributed talks: Reiko Toriumi

Short contributed talks: Juan Luis Araujo-Abranches

Short contributed talks: Thomas Muller

jeudi 3 octobre

10 Matthias Christandl - Lecture 2

The Tensor as an Informational Resource

10:45 Coffee break

11 Gérard Ben Arous - Lecture 3

Random Tensors: from Spin Glasses to Data Science

12:30 Lunch break

12 Ion Nechita - Lecture 3

Tensor freeness and applications to quantum information theory

15:45 Coffee break

13 Matthias Christandl - Lecture 3

The Tensor as an Informational Resource

vendredi 4 octobre

14 David Pérez-Garcia - Lecture 3

Tensor Networks: a mathematical tool to understand exotic quantum phases of matter

10:45 Coffee break

15 Sabine Harribey - Lecture 3

An introduction to tensor models: from random geometry to melonic CFTs

lundi 7 octobre

11:00 Coffee break

16 Frédéric Holweck - Lecture 1

The geometry of entanglement: from projective duality to quantum computers

12:30 Lunch break

17 Mohamed El Amine Seddik - Lecture 1

Spike Recovery from Large Asymmetric Random Tensors

mardi 8 octobre

18 Frédéric Holweck - Lecture 2

The geometry of entanglement: from projective duality to quantum computers

11:00 Coffee break

19 Mohamed El Amine Seddik - Lecture 2

Spike Recovery from Large Asymmetric Random Tensors

12:30 Lunch break

20 Guillaume Aubrun - Lecture 1

Entanglement between cones

mercredi 9 octobre

21 Mohamed El Amine Seddik - Lecture 3

Spike Recovery from Large Asymmetric Random Tensors

11:00 Coffee break

22 Guillaume Aubrun - Lecture 2

Entanglement between cones

12:30 Lunch break

jeudi 10 octobre

23 Guillaume Aubrun - Lecture 3

Entanglement between cones

11:00 Coffee break

24 Frédéric Holweck - Lecture 3

The geometry of entanglement: from projective duality to quantum computers

12:30 Lunch break

vendredi 11 octobre

10:00 Coffee break

GdR MEGA: Afonso Bandeira (mini course)

12:00 Lunch break

GdR MEGA: Henrique Goulart (talk)

15:00 Coffee break

GdR MEGA: Yizhe Zhu (talk)

lundi 14 octobre

10:00 Welcome coffee

25 Razvan Gurau

TBA

26 Dario Benedetti

From O(N)^3 to SO(3) in tensor models

12:30 Lunch break

27 Alexander Müller-Hermes

Entanglement annihilation and regularizing operator norms

15:30 Coffee break

28 Maria Jivulescu

Entanglement detection based on projective tensor norms

29 Carlos Palazuelos

Quantum XOR games via tensor norms

mardi 15 octobre

30 Aram Harrow

Randomized truncation

10:00 Coffee break

31 Michael Walter

TBA

32 Péter Vrana

Tensor parameters in entanglement theory

12:30 Group Photo

12:40 Lunch break

33 James Mingo

Real infinitesimal freeness

15:30 Coffee break

34 Tomohiro Hayase

Analysis of Deep Neural Networks With Random Tensors

18:00 Cocktail dinatoire

mercredi 16 octobre

35 Leticia Cugliandolo

Hamiltonian dynamics of classical disordered models

10:00 Coffee break

36 Valentina Ros

Energy landscapes from random tensors: correlations between triplets of stationary points

37 Pax Kivimae

Instability and the Number of Real Eigenvalues of A Random Tensor

Open problem session

13:30 Lunch buffet

jeudi 17 octobre

38 Norbert Schuch

The role of positivity in tensor network contraction

10:00 Coffee break

39 Mari Carmen Bañuls

Tensor Networks and spectral properties

40 Yoshiko Ogata

Boundary states of a bulk gapped ground state in 2-d quantum spin systems

12:30 Lunch break

Poster session: Poster Session

41 Joseph Landsberg

How to find hay in a haystack - tensor version

vendredi 18 octobre

42 Stanislaw Szarek

Noncommutative Lambda_p-sets and the additivity problems

10:00 Coffee break

43 Benjamin McKenna

Injective norm of real and complex random tensors

44 Sarah Timhadjelt

Non-hermitian expander obtained with Haar distributed unitaries

12:30 Lunch break

45 Freek Witteveen

The resource theory of tensor networks

15:30 Coffee break

46 Sylvain Carrozza

TBA