A Plane Defect in the 3d O(N) Model

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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 […]

Bakry-Emery theory and renormalisation

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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 […]

Ringdown and geometry of trapping for black holes

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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 […]

Exploring and Exploiting the Universality Phenomena in High-Dimensional Estimation and Learning

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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 […]

Oblique Lessons from the W Mass Measurement at CDF II

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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 […]

The threshold for stacked triangulations

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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 […]

Some combinatorics of Wilson loop diagrams

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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 […]

Mathematical supergravity and its applications to differential geometry

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Speaker: Carlos S. Shahbazi (Hamburg University) Title: Mathematical supergravity and its applications to differential geometry Abstract: I will discuss the recent developments in the mathematical theory of supergravity that lay the mathematical foundations of the universal bosonic sector of four-dimensional ungauged supergravity and its Killing spinor equations in a differential-geometric framework.  I will provide the […]