https://youtu.be/cSgyLwg0v00 General Relativity Seminar Speaker: David Kubiznak (Charles University) Title: Remarkable symmetries of rotating black holes Abstract: It is well known that the Kerr geometry admits a non-trivial Killing tensor and its 'square root' known as the Killing-Yano tensor. These two objects stand behind Carter's constant of geodesic motion as well as allow for separability of test […]
Probability Seminar Speaker: Jun Yin (UCLA) Title: A random matrix model towards the quantum chaos transition conjecture Abstract: The Quantum Chaos Conjecture has long fascinated researchers, postulating a critical spectrum phase transition that separates integrable systems from chaotic systems in quantum mechanics. In the realm of integrable systems, eigenvectors remain localized, and local eigenvalue statistics […]
https://youtu.be/fB9xJyJj8zU Topological Quantum Matter Seminar Speaker: Valentin Crepel, Flatiron Institute Title: Anomalous Landau level analog in solids: search and implications for 2d heterostructures Abstract: The recent experimental observation of fractional Chen insulators — the analog of fractional quantum Hall states realized in absence of any applied magnetic field — calls for more detailed theoretical investigations […]
Probability Seminar Speaker: Wei-Kuo Chen (University of Minnesota) Title: A Gaussian convexity for logarithmic moment generating function Abstract: Convex functions of Gaussian vectors are prominent objectives in many fields of mathematical studies. In this talk, I will establish a new convexity for the logarithmic moment generating function for this object and draw two consequences. The first leads to […]
Member Seminar Speaker: Samy Jelassi Title: An introduction to mixture of experts in deep learning Abstract: Scale has opened new frontiers in natural language processing – but at a high cost. Mixture-of-Experts (MoE) have been proposed as a path to even larger and more capable language models. They select different parameters for each incoming example. By […]
Quantum Matter Seminar Speaker: Abijith Krishnan (MIT) Title: A Plane Defect in the 3d O(N) Model Abstract: It was recently found that the classical 3d O(N) model in the semi-infinite geometry can exhibit an "extraordinary-log" boundary universality class, where the spin-spin correlation function on the boundary falls off as (log x)^(-q). This universality class exists for […]
Topological Quantum Matter Seminar Speaker: Kaifeng Bu (Harvard University) Title: Quantum information: the interplay of mathematics and physics Abstract: I will provide an introduction to quantum information, which points to a new connection with experiment on the one hand, and a potential new area of mathematical analysis on the other. I will introduce two recent results about […]
Algebraic Geometry in String Theory Seminar Speaker: Maksym Fedorchuk (Boston College) Title: CM-minimizers and standard models of Fano fibrations over curves Abstract: A recent achievement in K-stability of Fano varieties is an algebro-geometric construction of a projective moduli space of K-polystable Fanos. The ample line bundle on this moduli space is the CM line bundle […]
https://youtu.be/2CbIDgFFzRY Topological Quantum Matter Seminar Speaker: Ken K. W. Ma (Northeastern University) Title: The Fractional Quantum Hall Effect at ν=5/2: Past, Recent, and Future Abstract: The discovery of fractional quantum Hall (FQH) states started a new chapter in modern physics. Nowadays, more than 70 FQH states at different filling factors have been observed. Among them, the […]
Speaker: Xuwen Zhu (Northeastern) Title: Analysis of ALH* gravitational instantons Abstract: Gravitational instantons are non-compact Calabi-Yau metrics with L^2 bounded curvature and are categorized into six types. We will discuss one such type called ALH* metrics which has a non-compact end modelled by the Calabi ansatz with inhomogeneous collapsing near infinity. Such metrics appeared recently in the works on SYZ conjecture, […]
https://youtu.be/xTnSasVv4_0 General Relativity Seminar Speaker: Andras Vasy (Stanford) Title: The Feynman propagator and self-adjointness Abstract: In this talk I will discuss the Feynman and anti-Feynman inverses for wave operators on certain Lorentzian manifolds; these are two inverses which from a microlocal analysis perspective are more natural than the standard causal (advanced/retarded) ones. For instance, for the spectral family […]
CMSA Q and A Seminar Speakers: Mike Douglas (Harvard CMSA) and Anurag Anshu (Harvard Computer Science) Topics: Mike Douglas: What are scaling laws in deep learning? Anurag Anshu: What's the difference between classical information theory and quantum information theory (or classical computation vs quantum computation)?