Past Events
Seminar: Topological recursion for tensor models (Prof. Valentin Bonzom (LIPN - Combinatorics, Algorithms and Interactions - Paris University 13)
2021-02-20Title: Topological recursion for tensor models
SYK Seminar, Part III: Effective Action (Rotation Project)
2021-02-18As part of my rotation project I will give a series of introductory lectures on the SYK model. In Part III, I show how to derive the effective action for the master fields G and Σ directly from the partition function.
Seminar: Unitary matrix models (Mr. Neetu, IISER, Bhopal, India)
2021-02-16Title: Unitary matrix models
SYK Seminar, Part II: Melons (Rotation Project)
2021-02-12As part of my rotation project I will give a series of introductory lectures on the SYK model. In Part II, I will discuss the 2-point correlation function and how the large N diagrammatics reduce to iterated melon diagrams.
Seminar: Triple scaling of a multimatrix model U(N)^2 x O(D), continued (Prof. Reiko Toriumi, OIST)
2021-02-12Seminar: Triple scaling of a multimatrix model U(N)^2 x O(D), continued.
Seminar: Kinematic algebra (Dr. Tianheng Wang, Humboldt University Berlin, Germany)
2021-02-09Title: Kinematic algebra
[Seminar] Matrix Models and Topological Recursion II (Dr. Kento Osuga, University of Sheffield, UK)
2021-02-09Title: Matrix Models and Topological Recursion II
Abstract: Continued from the previous lecture, we will study how the topological recursion was discovered in the study of Hermitian matrix models. More concretely, starting with the spectral curve of a 1-cut Hermitian matrix model, I will present a computational technique that recursively solves loop equations. If time permits, I will make the recursive technique more abstract, and "define" the topological recursion.
Seminar: Triple scaling of a multimatrix model U(N)^2 x O(D) (Prof. Reiko Toriumi, OIST)
2021-02-05Title: Triple scaling of a multimatrix model U(N)^2 x O(D)
SYK Seminar, Part I: Introduction (Rotation Project)
2021-02-04As part of my rotation project I will give a series of introductory lectures on the SYK model. In Part I, I will write down the basic definition and give a sketchy overview of currently investigated aspects.
[Seminar] Matrix Models and Topological Recursion (Dr. Kento Osuga, University of Sheffield, UK)
2021-01-28Title: Matrix Models and Topological Recursion
Abstract: Hermitian matrix models are simplest quantum gauge field theory, namely quantum gauge theory in zero dimensions, and their correlation functions can be computed by a mathematical framework, the so-called topological recursion. In this review talk, I first present properties of Hermitian matrix models such as the 1/N-expansion, Virasoro constraints, loop equations, and the associated spectral curve. I will then give a technical overview of how we can recursively solve the loop equations of Hermitian matrix models by utilising the geometry of the spectral curve. Collecting the key geometric features, I will define the topological recursion with great generalities which makes it possible to apply the topological recursion beyond Hermitian matrix models.