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Swampland Seminar Speaker: Valerio De Luca (UPenn) Title: Recent developments on the tidal Love numbers of black holes Abstract: Tidal Love numbers describe the deformability of compact objects under the presence of external tidal perturbations, and are found to be exactly zero for black holes in pure General Relativity. This property is however fragile, since […] |
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Member Seminar Speaker: Jue Liu Title: Monotonicity of quasilocal mass for asymptotically flat Riemannian manifolds Abstract: The study of quasilocal mass in general relativity has a long history. In previous papers by many authors we have a deep understanding of the properties of quasilocal mass such as positivity, rigidity and asymptotics etc. In this talk I will focus […] |
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Speaker: Ruth Britto (Trinity College Dublin) Title: Scattering amplitudes in quantum field theory Abstract: Particle collider experiments require a detailed description of scattering events, traditionally computed through sums of Feynman diagrams. However, it is not practical to evaluate Feynman diagrams directly for all significant scattering processes. Moreover, adding all diagrams reveals many cancellations: scattering amplitudes […] |
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https://youtu.be/VdfmeuDoofY General Relativity Seminar Speaker: Alejandra Castro (University of Cambridge) Title: Gravitational perturbations near to extreme Kerr Abstract: Gravitational perturbations of a black hole illustrate the invaluable synergy between theory, experiment, and numerical simulations in general relativity. A recent development in the theory side has been the identification of the relevant degrees of freedom describing the low energy […]
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Active Matter Seminar Speaker: Mark Bowick, Kavli Institute for Theoretical Physics, UCSB Title: The Role of Orientational Order in Development Abstract: Morphogenesis, the process through which genes generate form, establishes tissue scale order as a template for constructing the complex shapes of the body plan. The extensive growth required to build these ordered substrates is fueled […] |
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Algebraic Geometry in String Theory Seminar Speaker: Chung-Ming Pan, Institut de Mathématiques de Toulouse Title: Kähler-Einstein metrics on families of Fano varieties Abstract: This talk aims to introduce a pluripotential approach to study uniform a priori estimates of Kähler-Einstein (KE) metrics on families of Fano varieties. I will first recall basic tools in the pluripotential theory […]
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Colloquium Speaker: Luca Iliesiu, Stanford Title: Black hole microstate counting from the gravitational path integral Abstract: Reproducing the integer count of black hole micro-states from the gravitational path integral is an important problem in quantum gravity. In the first part of the talk, I will show that, by using supersymmetric localization, the gravitational path integral for 1/16-BPS black […] |
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Member Seminar Speaker: Faidra Monachou Title: Optimal Dynamic Allocation: Simplicity through Information Design Abstract: We study dynamic nonmonetary markets where objects are allocated to unit-demand agents with private types. An agent’s value for an object is supermodular in her type and the quality of the object, and her payoff is quasilinear in her waiting cost. The […] |
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Probability Seminar Speaker: Ahmed El Alaoui (Cornell) Title:Â Sampling from the SK and mixed p-spin measures with stochastic localization Abstract: I will present an algorithm which efficiently samples from the Sherrington-Kirkpatrick (SK) measure with no external field at high temperature. The approach is based on the stochastic localization process of Eldan, together with a subroutine for […] |
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https://youtu.be/8QfTA8wmChY General Relativity Seminar Speaker: Sifan Yu, Vanderbilt University Title: Rough solutions of the relativistic Euler equations Abstract: I will discuss recent works on the relativistic Euler equations with dynamic vorticity and entropy. We use a new formulation of the equations, which has geo-analytic structures. In this geometric formulation, we decompose the flow into geometric "sound-wave […] |
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Current Developments in Mathematics 2023 Harvard University Science Center, Lecture Hall C April 7-8, 2023 Speakers: Amol Aggarwal - Columbia University Bhargav Bhatt - Institute for Advanced Study, Princeton University, & University of Michigan Paul Bourgade - New York University, Courant Institute Vesselin Dimitrov - Institute for Advanced Study & Georgia Institute of Technology Greta […]
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Quantum Matter Seminar Speaker: Nishad Maskara (Harvard) Title:Â Enhancing Detection of Topological Order by Local Error Correction Abstract:Â The exploration of topologically-ordered states of matter is a long-standing goal at the interface of several subfields of the physical sciences. Such states feature intriguing physical properties such as long-range entanglement, emergent gauge fields and non-local correlations, and can […]
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Algebraic Geometry in String Theory Seminar Speaker: Oliver Schlotterer (Uppsala University) Title: Modular graph forms and iterated integrals in string amplitudes Abstract: I will discuss string amplitudes as a laboratory for special functions and period integrals that drive fruitful cross-talk with particle physicists and mathematicians. At genus zero, integration over punctures on a disk or […] |
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Swampland Seminar Speaker: Seung-Joo Lee (IBS Daejeon) Title:Â Swampland bounds on the abelian gauge sectors Abstract: In this talk we will derive various bounds on the 0-form and the 1-form abelian gauge sectors of gravitational effective theories in 6 dimensions with minimal supersymmetry. We will start by considering 6-dimensional F-theory vacua with at least one tensor […]
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Probability Seminar *Please note room change: Science Center 232* Speaker:Â Ron Peled (Tel Aviv University) Title:Â Localization for random band matrices Abstract:Â I will explain an approach via "an adaptive Mermin-Wagner style shift" which proves localization of N x N Gaussian random band matrices with band width W satisfying W << N^{1/4}. Joint work with Giorgio Cipolloni, Jeffrey […] |
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Member Seminar Speaker: Changji Xu Title: Spectral gap and two-point functions in spin glasses Abstract: Many have worked on spin glass models over the past 50 years, including physicists, mathematicians, and computers. A question that arises is whether computers yield dependable simulation results. In this talk, I will discuss some recent mathematical progress on spectral […] |
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Speaker:Â James Halverson (Northeastern University) Â Title:Â Unexpected Uses of Neural Networks: Field Theory and Metric Flows Abstract:Â Â We are now quite used to the idea that deep neural networks may be trained in a variety of ways to tackle cutting-edge problems in physics and mathematics, sometimes leading to rigorous results. In this talk, however, I will argue […]
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Probability Seminar Speaker: Emma Bailey (CUNY) Title: Large deviations of Selberg’s central limit theorem Abstract: Selberg’s CLT concerns the typical behaviour of the Riemann zeta function and shows that the random variable $\Re \log \zeta(1/2 + i t)$, for a uniformly drawn $t$, behaves as a Gaussian random variable with a particular variance. It is […] |
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https://youtu.be/KCo0iWFox1s General Relativity Seminar Speaker: Shahar Hadar (University of Haifa) Title: Resolving the photon ring Abstract: In the past few years, the Event Horizon Telescope has released the first close-up interferometric images of two supermassive black holes, M87* and SgrA*. It is believed that within these images is embedded a fine, yet-unresolved brightness enhancement called the photon ring. […]
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Active Matter Seminar Speaker: Shane McInally, Brandeis Title: Control of actin cable length by decelerated growth and network geometry Abstract: The sizes of many subcellular structures are coordinated with cell size to ensure that these structures meet the functional demands of the cell. In eukaryotic cells, these subcellular structures are often membrane-bound organelles, whose volume is […] |
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Quantum Matter Seminar Speaker: Guanyu Zhu (IBM Quantum, T. J. Watson Research Center) Title: Fault-tolerant quantum computation via topological order on fractals and emergent symmetries Abstract: Topological quantum error correcting codes in integer spatial dimensions have been widely studied in the field of quantum information. A remaining major challenge is to reduce the space-time overhead […] |
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Member Seminar Speaker: Puskar Mondal Title: Recent progress on coupled Einstein-Yang-Mills dynamics Abstract: I will discuss my recent work with prof. S.T. Yau on Einstein-Yang-Mills theory. I’ll discuss the main ideas behind the stability of the Minkowski and Milne space time under coupled gauge-gravity perturbations. Construction of the gauge invariant energies that control the suitable […] |
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Probability Seminar Speaker: Evita Nestoridi (Stonybrook) Title: Diagonalizing Transition Matrices of Card Shuffles Abstract: In their seminal work, Diaconis and Shahshahani used representation theory of the symmetric group to diagonalize the transition matrix of random transpositions. More recently, Dieker and Saliola introduced another technique to diagonalize the random-to-random card shuffle. In this talk we will […] |
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Speaker: Julio Parra Martinez, Caltech Title: Black hole collider physics Abstract: Despite more than a century since the development of Einstein’s theory, the general relativistic two-body problem remains unsolved. A precise description of its solution is now essential, as it is necessary for understanding the strong-gravity dynamics of compact binaries observed at LIGO/VIRGO/KAGRA and in […] |
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Quantum Matter Seminar Speaker: Prof. Subir Sachdev (Harvard) Title: A model of the cuprates: from the pseudogap metal to d-wave superconductivity and charge order Abstract: Soon after the discovery of high-temperature superconductivity in the cuprates, Anderson proposed a connection to quantum spin liquids. But observations since then have shown that the low-temperature phase diagram is […] |
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Swampland Seminar Speaker: Thomas Grimm (Utrecht U.) Title: The Tameness of Quantum Field Theories Abstract: Tameness is a generalized notion of finiteness that is restricting the geometric complexity of sets and functions. The underlying mathematical foundation lies in tame geometry, which is built from o-minimal structures introduced in mathematical logic. In this talk I formalize the connection between quantum field theories and […]
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https://youtu.be/kGpZ0nRcZRU General Relativity Seminar Speaker: Tin Yau Tsang, University of California Irvine Title: Recent advances in scalar curvature and positive mass theorems Abstract:Â First, we have a review of classical tools for studying scalar curvature and positive mass theorem. Then we are going to discuss some advances and new perspectives on these tools which lead […] |
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Member Seminar Speaker: Freid Tong Title: On complete Calabi-Yau metrics and some related Monge-Ampere equations Abstract: We will give a basic introduction to constructions for complete Calabi-Yau metrics. A systematic approach to construct such metrics using PDE methods was proposed in the work of Tian-Yau in the 90s and have attracted a lot of attention […] |
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Speaker: Max Metlitski (MIT) Title: Boundary behavior at classical and quantum phase transitions Abstract: There has been a lot of recent interest in the boundary behavior of materials. This interest is driven in part by the field of topological states of quantum matter, where exotic protected boundary states are ubiquitous. In this talk, I'll ask: what happens […]
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https://youtu.be/UID_oXuN-0Y New Technologies in Mathematics Seminar Speaker: Timo Schick, Meta AI Title: Toolformer: Language Models Can Teach Themselves to Use Tools Abstract: Language models exhibit remarkable abilities to solve new tasks from just a few examples or textual instructions, especially at scale. They also, paradoxically, struggle with basic functionality, such as arithmetic or factual lookup, where […]
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Probability Seminar Speaker:Â Jimmy He (MIT) Title:Â Boundary current fluctuations for the half space ASEP Abstract:Â The half space asymmetric simple exclusion process (ASEP) is an interacting particle system on the half line, with particles allowed to enter/exit at the boundary. I will discuss recent work on understanding fluctuations for the number of particles in the half space […] |
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https://youtu.be/eGU1AQBcxNw General Relativity Seminar Speaker:Â Philippe G. LeFloch, Sorbonne University and CNRS Title: The localized seed-to-solution method for the Einstein constraints Abstract: I will discuss advances on asymptotically Euclidian initial data sets and the variational method introduced by J. Corvino and R. Schoen. This talk is based on joint papers with The-Cang Nguyen (Montpellier) and Bruno […]
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Active Matter Seminar Speaker: Mehran Kardar, MIT Title: Competition at the front of expanding populations Abstract: When competing species grow into new territory, the population is dominated by descendants of successful ancestors at the expansion front. Successful ancestry depends on the reproductive advantage (fitness), as well as ability and opportunity to colonize new domains. (1) Based […] |
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Quantum Matter Seminar Title: Fracton Self-Statistics Speaker: Hao Song (ITP-CAS) Abstract: Fracton order describes novel quantum phases of matter that host quasiparticles with restricted mobility, and thus lies beyond the existing paradigm of topological order. In particular, excitations that cannot move without creating other excitations are called fractons. Here we address a fundamental open question […] |
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