[Lecture] A beginner's introduction to basic Algebraic Topology Part 4 | Prof. Andrew Lobb (Durham University)

Speaker: Prof. Andrew Lobb (Durham University)
Title: A beginner's introduction to basic Algebraic Topology
Date and time: 19th September Thursday at 15:00
Location: L4F15
Language: English

[Lecture] A beginner's introduction to basic Algebraic Topology Part 3 | Prof. Andrew Lobb (Durham University)

Speaker: Prof. Andrew Lobb (Durham University)
Title: A beginner's introduction to basic Algebraic Topology
Date and time: 12th September Thursday at 13:00
Location: L4F01
Language: English

[Lecture] A beginner's introduction to basic Algebraic Topology Part 2 | Prof. Andrew Lobb (Durham University)

Speaker: Prof. Andrew Lobb (Durham University)
Title: A beginner's introduction to basic Algebraic Topology
Date and time: 5th September Thursday at 13:00
Location: L4F01
Language: English

[Lecture] A beginner's introduction to basic Algebraic Topology Part 1 | Prof. Andrew Lobb (Durham University)

Speaker: Prof. Andrew Lobb (Durham University)
Title: A beginner's introduction to basic Algebraic Topology
Date and time: 29th August Thursday at 13:00
Location: L4F01
Language: English

[Seminar] Wick rotation in the lapse: admissible complex metrics and the Wick rotated heat kernel | Dr. Rudrajit Banerjee (OIST)

Speaker: Rudrajit Banerjee (OIST, Gravity, Quantum Geometry and Field Theory Unit (Reiko Toriumi))
Title: Wick rotation in the lapse: admissible complex metrics and the Wick rotated heat kernel
Date and time: 15th August Thursday at 13:00
Location: L4F01
Language: English

[Seminar] Tensor eigenvalues from a field theory perspective | Dr. Nicolas Delporte (OIST)

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

[Seminar] A Max-Flow approach to Random Tensor Networks | Dr. Faedi Loulidi (OIST)

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)

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)

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

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.