Calendar of Events
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High-dimensional learning of narrow neural networks
High-dimensional learning of narrow neural networks
Member Seminar Speaker: Hugo Cui, CMSA Title: High-dimensional learning of narrow neural networks Abstract: This talk explores the interplay between neural network architectures and data structure through the lens of high-dimensional asymptotics. We focus on a class of narrow neural networks, namely networks possessing a finite number of hidden units, while operating in high dimensions. In the […]
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Local complexity measures in modern parameterized function classes for supervised learning
Local complexity measures in modern parameterized function classes for supervised learning
Colloquium Speaker: Elisenda Grigsby, Boston College Title: Local complexity measures in modern parameterized function classes for supervised learning Abstract: The parameter space for any fixed architecture of neural networks serves as a proxy during training for the associated class of functions - but how faithful is this representation? For any fixed feedforward ReLU network architecture, it […]
4 events,
Continuation of solutions of Einstein’s equations
Continuation of solutions of Einstein’s equations
General Relativity Seminar Speaker: Oswaldo Vazquez, Northeastern University Title: Continuation of solutions of Einstein's equations Abstract: Klainerman-Rodnianski improved the continuation criterion for the solutions of Einstein's equations proved by Michael Anderson using Kirchoff-Sobolev type parametrix and geometric Littlewood-Paley theory. Using their technique but a new parametrix we prove a continuation condition in the context of […]
2 events,
CMSA Q&A Seminar: Laura DeMarco
CMSA Q&A Seminar: Laura DeMarco
CMSA Q&A Seminar Speaker: Laura DeMarco, Harvard University Topic: What is Teichmuller geometry and why is it important?
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Dolbeault Virasoro algebra and M5 branes
Dolbeault Virasoro algebra and M5 branes
Quantum Field Theory and Physical Mathematics Seminar Speaker: Brian Williams, Boston University Title: Dolbeault Virasoro algebra and M5 branes Abstract: The worldvolume theory on a stack of M5 branes in M-theory is superconformal. We propose a conjecture that in the holomorphic twist of the theory on a stack of M5 branes an infinite-dimensional enhancement of […]
Scattering Amplitude from a Twistor Point of View
Scattering Amplitude from a Twistor Point of View
Member Seminar Speaker: Keyou Zeng Title: Scattering Amplitude from a Twistor Point of View Abstract: Scattering amplitude is a key quantity in quantum field theory. Although challenging to compute at higher loops and for large particle numbers, physicists have developed various tools to gain a deeper understanding of amplitudes. In this seminar, I will introduce […]
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Gravitational collapse to extremal Reissner-Nordström and the third law of black hole thermodynamics
Gravitational collapse to extremal Reissner-Nordström and the third law of black hole thermodynamics
General Relativity Seminar Speaker: Christoph Kehle, MIT Title: Gravitational collapse to extremal Reissner-Nordström and the third law of black hole thermodynamics Abstract: In this talk, I will present a proof that extremal Reissner-Nordström black holes can form in finite time in gravitational collapse of charged matter. In particular, this construction provides a definitive disproof of […]
Topological Modular Forms, its equivariant refinements and relation with supersymmetric quantum field theories
Topological Modular Forms, its equivariant refinements and relation with supersymmetric quantum field theories
Geometry and Quantum Theory Seminar Speaker: Mayuko Yamashita, Kyoto University Title: Topological Modular Forms, its equivariant refinements and relation with supersymmetric quantum field theories Abstract: This talk is about the Segal-Stolz-Teichner program, which is one of the most deep and interesting topics relating homotopy theory and physics. Mathematically, they propose a geometric model of TMF, […]
4 events,
Math Science Lectures in Honor of Raoul Bott: Andrew Neitzke
Math Science Lectures in Honor of Raoul Bott: Andrew Neitzke
Speaker: Andrew Neitzke, Yale University Location: Harvard University Science Center Hall D & via Zoom webinar Dates: October 16 & 17, 2024 Time: 4:00 pm https://youtu.be/1SyGyeMmWoM Wednesday, Oct. 16, 2024 Title: Abelianization in analysis of ODEs Abstract: I will describe the exact WKB method for asymptotic analysis of families of ODEs in one […]
CMSA Q&A Seminar: Nazim Bouatta
CMSA Q&A Seminar: Nazim Bouatta
CMSA Q&A Seminar Speaker: Nazim Bouatta (HMS) Topic: What are AlphaFold2 and OpenFold
2 events,
Math Science Lectures in Honor of Raoul Bott: Andrew Neitzke
Math Science Lectures in Honor of Raoul Bott: Andrew Neitzke
Speaker: Andrew Neitzke, Yale University Location: Harvard University Science Center Hall D & via Zoom webinar Dates: October 16 & 17, 2024 Time: 4:00 pm https://youtu.be/1SyGyeMmWoM Wednesday, Oct. 16, 2024 Title: Abelianization in analysis of ODEs Abstract: I will describe the exact WKB method for asymptotic analysis of families of ODEs in one variable, […]
3 events,
Bosonic and fermionic 1-form symmetries and anomaly matching
Bosonic and fermionic 1-form symmetries and anomaly matching
Quantum Field Theory and Physical Mathematics Seminar *via Zoom only* Speaker: Rajath Radhakrishnan (ICTP, Trieste) Title: Bosonic and fermionic 1-form symmetries and anomaly matching Abstract: In this talk, I will consider bosonic and fermionic (non-invertible) 1-form symmetries in 2+1d QFTs. These are 1-form symmetries implemented by topological line operators with real spins. I will present a classification […]
Positive mass and rigidity theorems in Riemannian geometry
Positive mass and rigidity theorems in Riemannian geometry
Member Seminar Speaker: Puskar Mondal Title: Positive mass and rigidity theorems in Riemannian geometry Abstract: Positive mass theorem proved by Schoen-Yau, Witten, Taubes-Parker is one of the most important results in scalar curvature geometry in asymptotically flat settings. Since then several versions have been proven and generalized to other geometries such as asymptotically hyperbolic manifolds. The analogous […]
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3 events,
Foundation Seminar: Singularity Theorems, Part I
Foundation Seminar: Singularity Theorems, Part I
Foundation Seminar (Joint Seminar with BHI) Location: BHI Title: Singularity Theorems, Part I Journal Club Discussion
Higher Vapnik–Chervonenkis theory
Higher Vapnik–Chervonenkis theory
Colloquium Speaker: Artem Chernikov, University of Maryland Title: Higher Vapnik–Chervonenkis theory Abstract: Finite VC-dimension, a combinatorial property of families of sets, was discovered simultaneously by Vapnik and Chervonenkis in probabilistic learning theory, and by Shelah in model theory (where it is called NIP). It plays an important role in several areas including machine learning, combinatorics, mathematical […]
3 events,
Fusion 2-Categories and their Classification
Fusion 2-Categories and their Classification
Geometry and Quantum Theory Seminar Speaker: Thibault Décoppet, Harvard University Title: Fusion 2-Categories and their Classification Abstract: Categorifying the classical notion of fusion (1-)category, fusion 2-categories were recently introduced. These objects have found many applications in Physics, most notably to the classification of topological orders, but also to the description of non-invertible symmetries in 2+1 dimensions. […]
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CMSA Q&A Seminar: Dan Freed
CMSA Q&A Seminar: Dan Freed
CMSA Q&A Seminar Speaker: Dan Freed, Harvard Mathematics & CMSA Topic: What are topological phases of matter?
How Far Can Transformers Reason? The Globality Barrier and Inductive Scratchpad
How Far Can Transformers Reason? The Globality Barrier and Inductive Scratchpad
https://youtu.be/C6NDdnSaluU New Technologies in Mathematics Seminar Speaker: Aryo Lotfi (EPFL) Title: How Far Can Transformers Reason? The Globality Barrier and Inductive Scratchpad Abstract: Can Transformers predict new syllogisms by composing established ones? More generally, what type of targets can be learned by such models from scratch? Recent works show that Transformers can be Turing-complete in terms of […]
2 events,
Heterotic Little String Theories and Inequivalent Genus-One Fibrations
Heterotic Little String Theories and Inequivalent Genus-One Fibrations
Mathematical Physics and Algebraic Geometry Seminar Speaker: Hamza Ahmed, Northeastern University Title: Heterotic Little String Theories and Inequivalent Genus-One Fibrations Abstract: Little String Theories (LSTs) are 6D Supersymmetric quantum field theories (SQFTs) with an additional physical relation called T-duality. This enables us to arrange them into equivalence classes, where each equivalence class has 6D LSTs that lead […]
4 events,
The spin-statistics theorem for TFTs
The spin-statistics theorem for TFTs
Quantum Field Theory and Physical Mathematics Seminar Speaker: Luuk Stehouwer, Dalhousie University Title: The spin-statistics theorem for TFTs Abstract: In quantum field theory (QFT) the spin-statistics theorem says that in a unitary QFT, a particle has half-integer spin if and only if it is a fermion. I show how to phrase this statement in the […]
Formality Theorem and Webs
Formality Theorem and Webs
Member Seminar Speaker: Ahsan Khan Title: Formality Theorem and Webs Abstract: The “formality theorem” of Kontsevich was a key result that implies that every Poisson manifold admits a deformation quantization. I will review the ideas behind the formality theorem and discuss a potentially novel viewpoint on it involving webs and twisted masses.
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2 events,
Mathematics and Machine Learning Closing Workshop
Mathematics and Machine Learning Closing Workshop Dates: October 28 - Oct. 30, 2024 Location: Room G10, CMSA, 20 Garden Street, Cambridge MA The closing workshop will provide a forum for discussing the most current research in these areas, including work in progress and recent results from program participants. We will devote one day to frontier […]
Foundation Seminar: Singularity Theorems, Part II
Foundation Seminar: Singularity Theorems, Part II
Foundation Seminar (Joint Seminar with BHI) Location: BHI Title: Singularity Theorems, Part II Journal Club Discussion
3 events,
Formation of Trapped Surfaces in Geodesic Foliation
Formation of Trapped Surfaces in Geodesic Foliation
General Relativity Seminar Speaker: Xuantao Chen, Johns Hopkins University Title: Formation of Trapped Surfaces in Geodesic Foliation Abstract: We reprove the formation of trapped surfaces for the Einstein vacuum equation using the incoming geodesic foliation. All previous results, starting with the seminal work of Christodoulou, make use of the double null foliation. In the new […]
Boundaries and duality for 3d gauge theories
Boundaries and duality for 3d gauge theories
Geometry and Quantum Theory Seminar Speaker: Ben Gammage, Harvard University Title: Boundaries and duality for 3d gauge theories Abstract: 3d N=4 supersymmetric gauge theory has a pair of topological twists, the A-model and B-model, the latter of which is also known as Rozansky-Witten theory. Conjecturally, boundary conditions for these TFTs ought to admit descriptions in […]
2 events,
CMSA Q&A Seminar: Michael Freedman
CMSA Q&A Seminar: Michael Freedman
CMSA Q&A Seminar Speaker: Michael Freedman, Harvard CMSA Topic: Broad perspective on manifolds: all dimensions, all structures, classification and dynamics
1 event,
Mirror Construction for Nakajima Quiver Varieties
Mirror Construction for Nakajima Quiver Varieties
Mathematical Physics and Algebraic Geometry Seminar Speaker: Ju Tan (Boston University) Title: Mirror Construction for Nakajima Quiver Varieties Abstract: Quiver possesses a rich representation theory. On the one hand, it exhibits a deep connection with instantons and coherent sheaves as illuminated by the ADHM construction and the works of many others. On the other hand, […]
MML Meeting
Event Title: Math and Machine Learning Program Discussion
Member Seminar
Event Title: High-dimensional learning of narrow neural networks
MML Meeting
Event Title: Math and Machine Learning Program Discussion
Colloquium
Event Title: Local complexity measures in modern parameterized function classes for supervised learning
General Relativity Seminar
Event Title: Continuation of solutions of Einstein’s equations
Topics in Deep Learning Theory
Event Title: Topics in Deep Learning Theory
MML Meeting
Event Title: Math and Machine Learning Program Open Discussion/Tea
MML Meeting
Event Title: Math and Machine Learning Program Discussion
CMSA Q&A Seminar
Event Title: CMSA Q&A Seminar: Laura DeMarco
Topics in Deep Learning Theory
Event Title: Topics in Deep Learning Theory
Quantum Field Theory and Physical Mathematics
Event Title: Dolbeault Virasoro algebra and M5 branes
MML Meeting
Event Title: Math and Machine Learning Program Discussion
Member Seminar
Event Title: Scattering Amplitude from a Twistor Point of View
MML Meeting
Event Title: Math and Machine Learning Program Discussion
General Relativity Seminar
Event Title: Gravitational collapse to extremal Reissner-Nordström and the third law of black hole thermodynamics
Topics in Deep Learning Theory
Event Title: Topics in Deep Learning Theory
Geometry and Quantum Theory Seminar
Event Title: Topological Modular Forms, its equivariant refinements and relation with supersymmetric quantum field theories
Math Science Lectures in Honor of Raoul Bott
Event Title: Math Science Lectures in Honor of Raoul Bott: Andrew Neitzke
MML Meeting
Event Title: Math and Machine Learning Program Discussion
CMSA Q&A Seminar
Event Title: CMSA Q&A Seminar: Nazim Bouatta
Math Science Lectures in Honor of Raoul Bott
Event Title: Math Science Lectures in Honor of Raoul Bott: Andrew Neitzke
Topics in Deep Learning Theory
Event Title: Topics in Deep Learning Theory
Quantum Field Theory and Physical Mathematics
Event Title: Bosonic and fermionic 1-form symmetries and anomaly matching
MML Meeting
Event Title: Math and Machine Learning Program Discussion
Member Seminar
Event Title: Positive mass and rigidity theorems in Riemannian geometry
Foundation Seminar
Event Title: Foundation Seminar: Singularity Theorems, Part I
MML Meeting
Event Title: Math and Machine Learning Program Discussion
Colloquium
Event Title: Higher Vapnik–Chervonenkis theory
Topics in Deep Learning Theory
Event Title: Topics in Deep Learning Theory
MML Meeting
Event Title: Math and Machine Learning Program Open Discussion/Tea
Geometry and Quantum Theory Seminar
Event Title: Fusion 2-Categories and their Classification
MML Meeting
Event Title: Math and Machine Learning Program Discussion
CMSA Q&A Seminar
Event Title: CMSA Q&A Seminar: Dan Freed
New Technologies in Mathematics Seminar
Event Title: How Far Can Transformers Reason? The Globality Barrier and Inductive Scratchpad
Mathematical Physics and Algebraic Geometry
Event Title: Heterotic Little String Theories and Inequivalent Genus-One Fibrations
Topics in Deep Learning Theory
Event Title: Topics in Deep Learning Theory
Quantum Field Theory and Physical Mathematics
Event Title: The spin-statistics theorem for TFTs
MML Meeting
Event Title: Math and Machine Learning Program Discussion
Member Seminar
Event Title: Formality Theorem and Webs
Workshop
Event Title: Mathematics and Machine Learning Closing Workshop
Foundation Seminar
Event Title: Foundation Seminar: Singularity Theorems, Part II
Workshop
Event Title: Mathematics and Machine Learning Closing Workshop
General Relativity Seminar
Event Title: Formation of Trapped Surfaces in Geodesic Foliation
Geometry and Quantum Theory Seminar
Event Title: Boundaries and duality for 3d gauge theories