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Algebraic Geometry in String Theory Seminar Pre-talk Speaker: David Wu (Harvard Physics): 10:00-10:30 am Speaker: Damian van de Heisteeg, CMSA Title: Species Scale across String Moduli Spaces Abstract: String theories feature a wide array of moduli spaces. We propose that the energy cutoff scale of these theories – the so-called species scale – can be determined […] |
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https://youtu.be/WQlkQf25np4 General Relativity Seminar Speaker: Lionel Mason (Oxford) Title: Geometry at Strong coupling for amplitudes/Wilson loops Abstract: The amplitude/Wilson loop correspondence identifies planar N=4 super-Yang-Mills amplitudes with certain null polygonal Wilson loops at all the values of the coupling. At strong coupling this equates the amplitude/Wilson loop computed by Alday & Maldacena in terms of […]
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CMSA Q and A Seminar Speakers: Michael Douglas (CMSA) and Mayuko Yamashita (Kyoto University) Topics: Michael Douglas: "What is non-commutative field theory?" Mayuko Yamashita: "What is differential cohomology?" |
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https://youtu.be/Sc6k06wVX3s New Technologies in Mathematics Seminar Speaker: François Charton, Meta AI Title:  Transformers for maths, and maths for transformers Abstract: Transformers can be trained to solve problems of mathematics. I present two recent applications, in mathematics and physics: predicting integer sequences, and discovering the properties of scattering amplitudes in a close relative of Quantum ChromoDynamics. Problems of […]
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Probability Seminar Speaker: Catherine Wolfram (MIT) Title: Large deviations for the 3D dimer model Abstract: A dimer tiling of Z^d is a collection of edges such that every vertex is covered exactly once. In 2000, Cohn, Kenyon, and Propp showed that 2D dimer tilings satisfy a large deviations principle. In joint work with Nishant Chandgotia […] |
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Active Matter Seminar Speaker: Max Lavrentovich, Worcester State University Title: Strongly driven mixtures and membranes: Out of equilibrium surprises Abstract: The more prosaic cousin of active matter, driven inactive matter, is still full of unexpected phenomena. I will discuss two projects involving two seemingly mundane systems, a phase-separating colloidal mixture and a lipid membrane, which demonstrate […]
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Quantum Matter Seminar Speaker: Cenke Xu (UCSB) Title: Quantum field theory approach to quantum information Abstract: We apply the formalism of quantum field theory and Euclidean space-time path integral to investigate a class of quantum information problems. In particular, we investigate quantum many-body systems under weak-measurement and decoherence. The Euclidean space-time path integral allows us […] |
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Member Seminar Speaker:Â Kai Xu (CMSA) Title: Moduli of vector bundles on curve and semiorthogonal decomposition Abstract: In this talk we construct semiorthogonal decompositions of moduli of vector bundles on a curve into its symmetric powers. The essential ingredients in the proof include Borel-Weil-Bott theory for loop groups, derived Schur-Weyl duality for current groups and derived […]
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Special Seminar Speaker: Mayuko Yamashita, Kyoto University Title: Topological modular forms and heretoric string theory Abstract: In this talk I will explain my works with Y. Tachikawa to study anomaly in heterotic string theory via homotopy theory, especially the theory of Topological Modular Forms (TMF). TMF is an E-infinity ring spectrum which is conjectured by […] |
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Algebraic Geometry in String Theory Seminar Pre-talk Speaker: Kai Xu (CMSA): 10:00-10:30 am Speaker: Kai Xu (CMSA) Title: Motivic decomposition of moduli space from brane dynamics Abstract: Supersymmetric gauge theories encode deep structures in algebraic geometry, and geometric engineering gives a powerful way to understand the underlying structures by string/M theory. In this talk we will see […]
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Speaker: Yu-Shen Lin (Boston University) Title: Gravitational Instantons Abstract: Gravitational instantons were introduced by Hawking as building blocks of his Euclidean quantum gravity theory back in the 1970s. These are non-compact Calabi-Yau surfaces with L2 curvature and thus can be viewed as the non-compact analogue of K3 surfaces. K3 surfaces are 2-dimensional Calabi-Yau manifolds and […] |
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General Relativity Seminar Speaker: Chethan Krishnan (IISc Bangalore) Title: A Smooth Horizon without a Smooth Horizon Abstract: I will talk about some work that is about to appear, where we note one precise way in which the stretched horizon can simulate a smooth horizon. I will also make an effort to put things in some perspective (brickwalls, […]
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CMSA Q and A Seminar Speakers: Dan Freed (Harvard Math & CMSA) and Dan Berwick-Evans (University of Illinois at Urbana-Champaign) Topics: Dan Freed: What is framing anomaly? How is it different from other anomalies? Dan Berwick-Evans: What is Atiyah-Singer index theorem? |
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https://youtu.be/7sA3r5M1oT8 <strong>Topological Quantum Matter Seminar</strong> <strong>Speaker:</strong> Ho Tat Lam, MIT <strong>Title:</strong> Dipolar and modulated symmetry protected topological phases <strong>Abstract:</strong> Modulated symmetries are symmetries whose symmetry generators exhibit spatial modulations. We will discuss one-dimensional symmetry protected topological (SPT) phases protected by modulated symmetries. We will present a simple recipe for constructing modulated SPT models by generalizing the […] |
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Member Seminar Speaker:Â Benjamin McKenna Title:Â Random matrices and large deviations Abstract:Â We give a generalist overview of random matrices and their (a)typical behaviors. In recent years, classical results have been complemented by a variety of new ones, in both the math and physics literatures, whose proofs leverage connections with special integrals over matrix groups. Some of these […] |
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General Relativity Seminar Speaker: Maria Rodriguez (Utah) Title: Tidal Squeezing of Black Holes Abstract: Recent developments indicate that Kerr black holes do not deform when perturbed by a static external gravitational field. Relying on hidden symmetries, compelling progress has been achieved to explain that Love numbers for Kerr black holes vanish. How does the phenomenon of tidal squeezing manifest in broader […]
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CMSA Q and A Seminar Speakers: Dan Freed (Harvard Math and CMSA) and Sunghyuk Park (CMSA) Topics: Dan Freed:Â What is Dijkgraaf-Witten theory? Sunghyuk Park:Â What happened at the Clay Math Institute Workshop? |
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https://youtu.be/u-pkmdkQoMU New Technologies in Mathematics Seminar Speaker: Alex Gu, MIT Dept. of EE&CS Title:Â LeanDojo: Theorem Proving with Retrieval-Augmented Language Models Abstract:Â Large language models (LLMs) have shown promise in proving formal theorems using proof assistants such as Lean. However, existing methods are difficult to reproduce or build on, due to private code, data, and large compute […]
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Quantum Matter Seminar Speaker: Seth Koren (Notre Dame) Title: Non-invertible symmetries, leptons, quarks, and why multiple generations Abstract: Generalized global symmetries are present in theories of particle physics, and understanding their structure can give insight into these theories and UV completions thereof.  After discussing the generalized symmetries of the Standard Model, we will go Beyond and show […] |
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Active Matter Seminar Speaker: Fred MacKintosh (Rice University) Title: Contractility, structure formation and fluctuations in active gels, with and without molecular motors Abstract: Various processes in living cells depend on contractile forces that are often generated by myosin motors in concert with polar actin filaments. A textbook example of this is the actomyosin contractile ring that […] |
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Member Seminar Speaker: Puskar Mondal (CMSA) Title:Â On the Breakdown of Einstein's Gravity Abstract:Â It is important to understand under which conditions, the solutions of non-linear hyperbolic PDEs break down in finite time. In the context of Einstein's gravity, this is very closely tied to naked singularity formation and Penrose's weak cosmic censorship conjecture. In this talk, […] |
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Algebraic Geometry in String Theory Seminar Pre-talk Speaker: Rosie Shen (Harvard): 10:00-10:30 am Pre-talk Title: Introduction to the singularities of the MMP Speaker: Dori Bejleri (Harvard Math & CMSA) Title: Moduli of boundary polarized Calabi-Yau pairs Abstract: The theories of KSBA stability and K-stability furnish compact moduli spaces of general type pairs and Fano pairs […]
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https://youtu.be/AKZ4O0ZUrPo Topological Quantum Matter Seminar Speaker:Â Ceren Dag, Harvard Title:Â Breaking ergodicity: quantum scars and regular eigenstates Abstract:Â Quantum many-body scars (QMBS) consist of a few low-entropy eigenstates in an otherwise chaotic many-body spectrum and can weakly break ergodicity resulting in robust oscillatory dynamics. The notion of QMBS follows the original single-particle scars introduced within the context of […]
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Speaker: Joel D. Hamkins (Notre Dame and Oxford) Title: An exploration of infinite games—infinite Wordle and the Mastermind numbers Abstract: Let us explore the nature of strategic reasoning in infinite games, focusing on the cases of infinite Wordle and infinite Mastermind. The familiar game of Wordle extends naturally to longer words or even infinite words in an […] |
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https://youtu.be/UqrKDW6aJuc Topological Quantum Matter Seminar Speaker: Hart Goldman, University of Chicago Title: Composite fermions and the fractional quantum anomalous Hall effect Abstract: Recent experiments have revealed evidence for fractional quantum anomalous Hall (FQAH) states at zero magnetic field in a growing number of moire materials. In this talk, I will argue that a composite fermion […]
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https://youtu.be/M25cbX5do8Y New Technologies in Mathematics Seminar Speaker: Yuanzhi Li, CMU Dept. of Machine Learning and Microsoft Research Title: Physics of Language Models: Knowledge Storage, Extraction, and Manipulation Abstract: Large language models (LLMs) can memorize a massive amount of knowledge during pre-training, but can they effectively use this knowledge at inference time? In this work, we show several striking […]
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Probability Seminar Speaker: Tomas Berggren (MIT) Title: Geometry of the doubly periodic Aztec dimer model Abstract: Random dimer models (or equivalently tiling models) have been a subject of extensive research in mathematics and physics for several decades. In this talk, we will discuss the doubly periodic Aztec diamond dimer model of growing size, with arbitrary […] |
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CMSA Director Dan Freed featured in Harvard Gazette "Center welcomes new director, a Harvard alum who will explore ‘beautiful, deep’ interactions between mathematics, science." Link to article. Story by Anne J. Manning, Harvard Staff Writer Photo courtesy of Niles Singer, Harvard University.
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Member Seminar Speaker: Daniel Kapec (CMSA) Title:Â Black Holes as Quantum Systems Abstract:Â To an outside observer, a black hole appears to be an ordinary quantum mechanical system with finite entropy and highly chaotic internal dynamics. Nevertheless, the low-temperature thermodynamics of the Kerr black hole presents several puzzles. For instance, the leading order semiclassical approximation to the […] |
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Algebraic Geometry in String Theory Seminar Speaker: David Favero, University of Minnesota Title: Gauged Linear Sigma Models and Cohomological Field Theories Abstract: This talk is dedicated to the memory of my friend and collaborator Bumsig Kim and based on joint work with Ciocan-Fontanine-Guere-Kim-Shoemaker. Gauged Linear Sigma Models (GLSMs) serve as a means of interpolating between […]
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Speaker:Â Boaz Barak (Harvard) Title:Â On Provable Copyright Protection for Generative Model Abstract:Â There is a growing concern that learned conditional generative models may output samples that are substantially similar to some copyrighted data C that was in their training set. We give a formal definition of near access-freeness (NAF) and prove bounds on the probability that a […] |
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https://youtu.be/zG4xkY8JI1A General Relativity Seminar Speaker: Leo Stein (Mississippi) Title: Resolving memory in numerical relativity, and fixing BMS frames for modeling Abstract: Numerical relativity waveforms serve as ground truth for detection and parameter estimation of binary black hole mergers. Most NR waveforms to date miss memory effects, as they were extracted from simulations using an approximation called extrapolation. I […]
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CMSA Q and A Seminar Speakers: Xi Yin (Harvard Physics) and Peter Kronheimer (Harvard Math) Topics: Xi Yin: What is string field theory? Peter Kronheimer: What is Seiberg-Witten theory? |
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https://youtu.be/bRHb-MVExJ4 New Technologies in Mathematics Seminar Speaker: Sean Welleck, CMU, Language Technologies Institute Title: Llemma: an open language model for mathematics Abstract: We present Llemma: 7 billion and 34 billion parameter language models for mathematics. The Llemma models are initialized with Code Llama weights, then trained on the Proof-Pile II, a 55 billion token dataset of […]
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Probability Seminar Speaker: Benjamin Landon (University of Toronto) Title: Tail estimates for stationary KPZ models Abstract: The limiting distributions of the KPZ universality class exhibit tail exponents of 3/2 and 3. In this talk we will review recent work studying the upper tail exponent 3/2 in the moderate deviations regime of several KPZ models at […] |
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Active Matter Seminar Speaker: Nicolas Romeo (UChicago) Title: Scaling behavior and control of nuclear wrinkling Abstract: The cell nucleus is enveloped by a complex membrane, whose wrinkling has been implicated in disease and cellular aging. The biophysical dynamics and spectral evolution of nuclear wrinkling during multicellular development remain poorly understood due to a lack of […] |
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Mathematics in Science: Perspectives and Prospects A showcase of mathematics in interaction with physics, computer science, biology, and beyond. October 27–28, 2023 Location: Harvard University Science Center Hall D & via Zoom. Directions and Recommended Lodging Mathematics in Science: Perspectives and Prospects Youtube Playlist Speakers Nima Arkani-Hamed (IAS) Constantinos Daskalakis (MIT) Alison Etheridge (Oxford) Mike […]
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Member Seminar Speaker: Iacopo Brivio (CMSA) Title:Â Extension of pluricanonical forms in positive and mixed characteristics Abstract:Â The geometry of a complex manifold $X$ is to a large extent determined by its pluricanonical forms, i.e. global sections of $(\Omega^{\dim X}_X)^{\otimes m}$ for $m\geq 0$. A famous theorem of Siu states that when $X\to D$ is a smooth […] |
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Speaker: Manuel Cortés-Izurdiaga (University of Malaga) Title:  Homotopy categories of rings: some properties and consequences in module categories Abstract: Given a non-necessarily commutative ring with unit and an additive subcategory of the category of right modules, one can consider complexes of modules in the subcategory and the corresponding homotopy category. Sometimes, these homotopy categories are the […] |
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https://youtu.be/NFHUt0lnaUA Topological Quantum Matter Seminar Speaker: Shenghan Jiang, Kavli Institute for Theoretical Sciences UCAS Title: Unveiling Correlated Topological Insulators through Fermionic Tensor Network States Abstract: The study of topological band insulators has revealed fascinating phases characterized by band topology indices, harboring extraordinary boundary modes protected by anomalous symmetry actions. In strongly correlated systems, it has […]
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Probability Seminar Speaker: Youngtak Sohn (MIT) Title: Universality of max-margin classifiers Abstract: Many modern learning methods, such as deep neural networks, are so complex that they perfectly fit the training data. Despite this, they generalize well to the unseen data. Motivated by this phenomenon, we consider high-dimensional binary classification with linearly separable data. First, we […] |
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Probability Seminar Speaker: Nicola Kistler (Johann Wolfgang Goethe-Universität Frankfurt am Main) Title: Solving spin systems, the Babylonian way Abstract: The replica method, together with Parisi’s symmetry breaking mechanism, is an extremely powerful tool to compute the limiting free energy of virtually any mean field disordered system. Unfortunately, the tool is dramatically flawed from a mathematical point […]
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Joint Quantum Matter in Mathematics and Physics and Topological Quantum Matter Seminar Speaker: Liujun Zou (Perimeter Institute) Title:Â Landscape of quantum phases in quantum materials Abstract: A central goal of condensed matter physics is to understand which quantum phases of matter can emerge in a quantum material. For this purpose, one should be able to not […] |
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Member Seminar Speaker: Zi Yang Kang Title:Â Deformations of Landau-Ginzburg models and their fibers Abstract: In mirror symmetry, the dual object to a Fano variety is a Landau-Ginzburg model. Broadly, a Landau-Ginzburg model is quasi-projective variety Y with a superpotential function w, but not all such pairs correspond to Fano varieties under mirror symmetry, so a […] |
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