Workshop on Quantum Field Theory and Topological Phases via Homotopy Theory and Operator Algebras Dates: June 30 - July 11, 2025 Location: CMSA, 20 Garden Street, Cambridge MA and Max Planck Institute for Mathematics, Bonn, Germany This event is a twinned workshop at the CMSA (Harvard) and the Max Planck Institute for Mathematics (Bonn). Lectures will alternate […]
https://youtu.be/3gRquXqwtU8 New Technologies in Mathematics Seminar Speaker: Elli Heyes, Imperial College Title: Machine Learning G2 Geometry Abstract: Compact Ricci-flat Calabi-Yau and holonomy G2 manifolds appear in string and M-theory respectively as descriptions of the extra spatial dimensions that arise in the theories. Since 2017 machine-learning techniques have been applied extensively to study Calabi-Yau manifolds but until […]
Mathematical Physics and Algebraic Geometry Seminar Speaker: Zichang Wang (Tsinghua University) Title: Stochastic Process and Noncommutative Geometry Abstract: We explain a stochastic approach to topological field theory and present a case study of quantum mechanical model and its relation to noncommutative geometry. For detail reference, see https://arxiv.org/abs/2501.12360
https://youtu.be/5Lo7bo7P_I0 Math and Machine Learning Lecture Date: Thursday, Sep. 12, 2024 Time: 4:00 - 5:00 pm Location: Science Center & via Zoom Webinar Speaker: Geordie Williamson, University of Sydney Title: Can AI help with hard mathematics? Abstract: The last years have seen remarkable advances in what AI can do. It is perhaps surprising that […]
https://youtu.be/3Opuy9l5S_U CMSA/Tsinghua Math-Science Literature Lecture Prof. Cameron Gordon presented a lecture in the CMSA/Tsinghua Math-Science Literature Lecture Series. Date: Wednesday, March 20, 2024 Time: 9:00–10:30 am ET Location: Room G10, CMSA, 20 Garden Street, Cambridge MA and via Zoom Webinar Title: The Unknotting Number of a Knot Abstract: One of the oldest and most natural […]
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 […]
Probability Seminar Speaker: Roland Bauerschmidt (Cambridge) Title: Bakry-Emery theory and renormalisation Abstract: I will discuss an approach to log-Sobolev inequalities that combines the Bakry-Emery theory with renormalisation and present several applications. These include log-Sobolev inequalities with polynomial dependence for critical Ising models on Z^d when d>4 and singular SPDEs with uniform dependence of the log-Sobolev […]
General Relativity Seminar Speaker: Semyon Dyatlov (MIT) Title: Ringdown and geometry of trapping for black holes Abstract: Quasi-normal modes are complex exponential frequencies appearing in long time expansions of solutions to linear wave equations on black hole backgrounds. They appear in particular during the ringdown phase of a black hole merger when the dynamics is expected to […]
Interdisciplinary Science Seminar Speaker: Yue M. Lu, Harvard University Title: Exploring and Exploiting the Universality Phenomena in High-Dimensional Estimation and Learning Abstract: Universality is a fascinating high-dimensional phenomenon. It points to the existence of universal laws that govern the macroscopic behavior of wide classes of large and complex systems, despite their differences in microscopic details. The notion of […]
Speaker: Seth Koren (University of Chicago) Title: Baryon Minus Lepton Number BF Theory for the Cosmological Lithium Problem Abstract: The cosmological lithium problem—that the observed primordial abundance is lower than theoretical expectations by order one—is perhaps the most statistically significant anomaly of SM+ ΛCDM, and has resisted decades of attempts by cosmologists, nuclear physicists, and […]
Abstract: Consider a bootstrap percolation process that starts with a set of `infected’ triangles $Y \subseteq \binom{}3$, and a new triangle f gets infected if there is a copy of K_4^3 (= the boundary of a tetrahedron) in which f is the only not-yet infected triangle. Suppose that every triangle is initially infected independently with […]
Abstract: Wilson loop diagrams can be used to study amplitudes in N=4 SYM. I will set them up and talk about some of their combinatorial aspects, such as how many Wilson loop diagrams give the same positroid and how to combinatorially read off the dimension and the denominators for the integrands. **This talk will be […]