### Past Events

### Tensor eigenvalues from a field theory perspective

2024-08-08**Speaker**: Nicolas Delporte (OIST, Gravity, Quantum Geometry and Field Theory Unit (Reiko Toriumi))

**Title**: Tensor eigenvalues from a field theory perspective

**Date and time**: 8th August Thursday at 13:00

**Location**: L4F01

Language: English

### A Max-Flow approach to Random Tensor Networks

2024-08-02**Speaker**: Faedi Loulidi (OIST, Networked Quantum Devices Unit (Elkouss unit))

**Title**: A Max-Flow approach to Random Tensor Networks

**Date and time**: 2nd August Friday at 10:30

**Location**: L4F01

Language: English

### [Seminar] The quantum path signature | Dr. Samuel Crew (Imperial College London, UK)

2024-07-16**Speaker**: Dr. Samuel Crew (Imperial College London, UK)

**Title**: The quantum path signature

**Date and time**: 16^{th} July Tuesday at 10:00

**Location**: L4F01

Language: English

### [Zoom Seminar] The Discrete Dirac operator and the mass of simple and higher-order networks | Professor Ginestra Bianconi (Queen Mary University London)

2024-02-19### Title:

#### The Discrete Dirac operator and the mass of simple and higher-order networks

### Abstract:

We discuss the properties of the discrete Dirac operator on simple and higher-order and its relevance to capture the coupled dynamics topological signals defined on nodes, links of graphs and even higher dimensional simplices.

We will show how the Dirac operator can be coupled with the algebra of gamma matrices to define a Dirac field theory in discrete Lorentzian spacetime in which the spinor is given a geometrical interpretation. The field theory also includes metric degree of freedom interpreted as the weights of the links for which we can define an action.

We use the discrete topological Dirac operator to define an action for a massless self-interacting topological Dirac field inspired by the Nambu–Jona-Lasinio model. We propose a theoretical framework that explains how the mass of simple and higher-order networks emerges from their topology and geometry. The mass of the network is strictly speaking the mass of this topological Dirac field defined on the network; it results from the chiral symmetry breaking of the model and satisfies a self-consistent gap equation. Interestingly, it is shown that the mass of a network depends on its spectral properties, topology, and geometry.

### Seminars by Prof. Mahir Bilen Can (Tulane University) and Prof. Andrew Lobb (Durham University), L4F01

2023-08-18**Speaker 1: Mahir Bilen Can (Tulane University)**

Title: Graded locally semialgebraic spaces and graded Nash manifolds.

**Speaker 2: Andrew Lobb (Durham University)**

Title: Four-sided pegs fitting round holes fit all smooth holes.

### [Seminar] Dimensional reduction in causal sets by Dr. David Meyer, UC San Diego, L4E01

2023-07-24"Dimensional reduction in causal sets" by Dr. David Meyer, UC San Diego

### OIST Workshop "Invitation to Recursion, Resurgence, and Combinatorics"

2023-04-04 to 2023-04-14OIST Workshop | Website | Main organizers: Reiko Toriumi (Gravity, Quantum Geometry and Field Theory Unit) and Kento Osuga (University of Tokyo) | OIST members are welcome to attend all scientific sessions (registration required).

### Women at the Intersection of Mathematics and Theoretical Physics Meet in Okinawa

2023-03-20 to 2023-03-24OIST Workshop | Website | Main organizer: Reiko Toriumi (Gravity, Quantum Geometry and Field Theory Unit) | OIST members are welcome to attend all scientific sessions (registration required).

### Women in Mathematics Photography Exhibits

2023-03-20 to 2023-03-26Photographs taken by Noel Tovia Matoff of women mathematicians from around the world.

### Statistical Mechanics, Critical Phenomena and Renorm

2022-02-25Statistical Mechanics, Critical Phenomena and Renorm