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 […]
Speaker: Boaz Barak (Harvard) Title: On Provable Copyright Protection for Generative Model Abstract: 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 […]
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 […]
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?
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 […]
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 […]
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 […]
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 […]
Member Seminar Speaker: Iacopo Brivio (CMSA) Title: Extension of pluricanonical forms in positive and mixed characteristics Abstract: 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 […]
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 […]
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 […]
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 […]