Member Seminar Speaker: Shai Chester Title: Derivation of AdS/CFT for Vector Models Abstract: We derive an explicit map at finite N between the singlet sector of the free and critical O(N) and U(N) vector models in any spacetime dimension above two, and a bulk higher spin theory in anti-de Sitter space in one higher dimension. For the boundary […]
Swampland Seminar Speaker: Samir Mathur (Ohio State) Title: The story of the information paradox Abstract: In 1975 Hawking argued that black hole evaporation would lead to a loss of unitarity in quantum theory. The small corrections theorem made Hawking's argument into a precise statement: if semiclassical physics hold to leading order in any gently curved region of […]
https://youtu.be/MxXD2yA2pxQ Topological Quantum Matter Seminar Speaker: Semyon Klevtsov, University of Strasbourg Title: Geometric test for topological states of matter Abstract: We generalize the flux insertion argument due to Laughlin, Niu-Thouless-Tao-Wu, and Avron-Seiler-Zograf to the case of fractional quantum Hall states on a higher-genus surface. We propose this setting as a test to characterise the robustness, or […]
Active Matter Seminar Speaker: Shenshen Wang, UCLA Title: Limit and potential of adaptive immunity Abstract: The adaptive immune system is able to learn from past experiences to better fit an unforeseen future. This is made possible by a diverse and dynamic repertoire of cells expressing unique antigen receptors and capable of rapid Darwinian evolution within an individual. However, […]
Colloquium Speaker: Melody Chan, Brown Title: Moduli spaces of graphs Abstract: A metric graph is a graph—a finite network of vertices and edges—together with a prescription of a positive real length on each edge. I'll use the term "moduli space of graphs" to refer to certain combinatorial spaces—think simplicial complexes—that furnish parameter spaces for metric […]
https://youtu.be/1v9STFWqArQ General Relativity Seminar Speaker: Nikolaos Athanasiou Title: A scale-critical trapped surface formation criterion for the Einstein-Maxwell system Abstract: Few notions within the realm of mathematical physics succeed in capturing the imagination and inspiring awe as well as that of a black hole. First encountered in the Schwarzschild solution, discovered a few months after the […]
CMSA/MATH Fall Gathering Friday, Sep 23, 2022 4:30–6:00 pm All CMSA and Math affiliates are invited.
Member Seminar Speaker: Ben McKenna Title: Random determinants, the elastic manifold, and landscape complexity beyond invariance Abstract: The Kac-Rice formula allows one to study the complexity of high-dimensional Gaussian random functions (meaning asymptotic counts of critical points) via the determinants of large random matrices. We present new results on determinant asymptotics for non-invariant random matrices, and […]
https://www.youtube.com/watch?v=c1ED61O0f0Y&list=PL0NRmB0fnLJQAnYwkpt9PN2PBKx4rvdup&index=2 Quantum Matter in Mathematics and Physics Speaker: Avner Karasik (University of Cambridge, UK) Title: Candidates for Non-Supersymmetric Dualities Abstract: In the talk I will discuss the possibility and the obstructions of finding non-supersymmetric dualities for 4d gauge theories. I will review consistency conditions based on Weingarten inequalities, anomalies and large N, and clarify some […]
https://youtu.be/Y6YFgi6X5kE Topological Quantum Matter Seminar Speaker: Ruihua Fan, Harvard University Title: Extracting the quantum Hall conductance from a single bulk wavefunction from the modular flow Abstract: One question in the study of topological phases is to identify the topological data from the ground state wavefunction without accessing the Hamiltonian. Since local measurement is not enough, […]
Colloquium Speaker: Dima Sinapova (Rutgers University) Title: The Tree Property and uncountable cardinals Abstract: In the late 19th century Cantor discovered that there are different levels of infinity. More precisely he showed that there is no bijection between the natural numbers and the real numbers, meaning that the reals are uncountable. He then went on […]
https://youtu.be/SQlPI07LvUc New Technologies in Mathematics Speaker: Surya Ganguli, Stanford University Title: Statistical mechanics of neural networks: From the geometry of high dimensional error landscapes to beating power law neural scaling Abstract: Statistical mechanics and neural network theory have long enjoyed fruitful interactions. We will review some of our recent work in this area and then focus on […]