https://youtu.be/QGVYBN7vBT8 Topological Quantum Matter Seminar Speaker: Amanda Young, UIUC Title: A bulk gap in the presence of edge states for a truncated Haldane pseudopotential Abstract: Haldane pseudopotentials were first introduced as Hamiltonian models for the fractional quantum Hall effect, and it has been long expected that they should exhibit the characteristic properties of this exotic […]
https://youtu.be/JYt-ldZ3DqM New Technologies in Mathematics Seminar Speaker: Abhishek Panigrahi, Dept. of Computer Science, Princeton University Title: On the Power of Forward pass through Transformer Architectures Abstract: Highly trained transformers are capable of interesting computations as they infer for an input. The exact mechanism that these models use during forward passes is an interesting area of […]
Probability Seminar Speaker: Jinyoung Park (NYU) Title: Thresholds Abstract: For a finite set X, a family F of subsets of X is said to be increasing if any set A that contains B in F is also in F. The p-biased product measure of F increases as p increases from 0 to 1, and often […]
Member Seminar Speaker: Aghil Alaee Title: A quasi-local mass in general relativity Abstract: One of the fundamental open problems in geometric analysis and mathematical relativity is constructing a (universal) energy/mass quantity to compute the energy/mass of a finite region of spacetime, which can include a star, black hole, or galaxy. We define a new gauge-independent quasi-local mass […]
https://youtu.be/y6Gc0G_2Mf0 CMSA/Tsinghua Math-Science Literature Lecture Prof. Scott Kominers will present a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. Date: Monday, November 20, 2023 Time: 9:00 - 10:30 am ET Location: Via Zoom Webinar Title: 60 Years of Matching: From Gale and Shapley to Trading Networks Abstract: Gale and Shapley's 1962 American Mathematical Monthly paper, "College Admissions and the […]
https://youtu.be/3i_DtaeQ0nE Topological Quantum Matter Seminar Speaker: Prashant Kumar, University of Chicago Title: Emergent composite-fermion Luttinger liquid at the half-filled Landau level Abstract: The half-filled Landau level is a fascinating point in the phase diagram of quantum Hall effect that has been hypothesized to be a non-Fermi liquid where composite-fermions (CFs) emerge at low energies. In this talk, […]
Speaker: Jeff W. Lichtman (Harvard University) Title: The analytical challenges of connectomics Abstract: Recent progress in generating synapse-level maps of brains, a field known as connectomics, brings both opportunities and challenges. The upside is that the biophysical instantiation of memories, behaviors, and knowledge will soon be before us. The downside is that no one knows exactly how […]
Quantum Matter Seminar Speaker: Guilherme Delfino Silva (Boston University) Title: Modulated Gauge Theories and Fracton Behavior in 2D Abstract: In this talk we investigate deconfined phases of two-dimensional ZN lattice gauge theories associated to spatially modulated symmetries. In order to study the low-energy physics of such modulated gauge theories we propose and explore exactly solvable […]
Algebraic Geometry in String Theory Seminar Speaker: An Huang (Brandeis) Pre-talk Speaker: TBA: 10:00-10:30 am Title: A p-adic Laplacian on the Tate curve Abstract: We shall first explain the relation between a family of deformations of genus zero p-adic string worldsheet action and Tate's thesis. We then propose a genus one p-adic string worldsheet action. […]
Speaker: Dana Bartosova (University of Florida) Title: What do topological dynamics, combinatorics, and model theory have in common? Abstract: A striking correspondence between dynamics of automorphism groups of countable first order structures and Ramsey theory of finitary approximation of the structures was established in 2005 by Kechris, Pestov, and Todocevic. Since then, their work has been generalized […]
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 […]