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Universality of max-margin classifiers

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

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 […]

Solving spin systems, the Babylonian way

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

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 […]

Landscape of quantum phases in quantum materials

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Joint Quantum Matter in Mathematics and Physics and Topological Quantum Matter Seminar Speaker: Liujun Zou (Perimeter Institute) Title: 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 […]

Deformations of Landau-Ginzburg models and their fibers

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Member Seminar Speaker: Zi Yang Kang Title: 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 […]

Deformations of Landau-Ginzburg models and their fibers

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Algebraic Geometry in String Theory Seminar Speaker: Andrew Harder, Lehigh University Title: 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 […]

Impossibility results in classical dynamical systems

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Speaker: Matthew Foreman (UC Irvine) Title: Impossibility results in classical dynamical systems Abstract: In 1932, motivated by questions in statistical and celestial mechanics, von Neumann proposed classifying the statistical behavior of dynamical systems. In the 1960's, motivated by work of Poincaré, Smale proposed classifying the qualitative behavior of dynamical systems.  These questions laid the groundwork for enormous amounts of work, but […]

Fluid stabilization in slowly expanding cosmological spacetime

Hybrid - G10

https://youtu.be/SCIi6R_uTZM General Relativity Seminar Speaker: David Fajman (Vienna) Title: Fluid stabilization in slowly expanding cosmological spacetime Abstract: Relativistic fluids are known to form shocks during their evolution from near-homogeneous initial data. In expanding spacetimes, shock formation is suppressed, if the expansion is sufficiently strong. We refer to this effect as fluid stabilization. The occurrence of this phenomenon depends […]

CMSA Q and A Seminar 11/7/2023

Common Room, CMSA 20 Garden Street, Cambridge, MA, United States

CMSA Q and A Seminar Speakers: Michael Hopkins (Harvard Math) and Minhea Popa (Harvard Math) Topics: Mike Hopkins: What are topological modular forms? Mihnea Popa: What is the abundance conjecture and why should it to be true?  

 A Long Exact Sequence in Symmetry Breaking

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Quantum Matter Seminar Speaker: Cameron Krulewski (MIT) and Leon Liu (Harvard) Title: A Long Exact Sequence in Symmetry Breaking Abstract: We study defects in symmetry breaking phases, such as domain walls, vortices, and hedgehogs. In particular, we focus on the localized gapless excitations that sometimes occur at the cores of these objects. These are topologically protected by an ’t […]

Peano: Learning Formal Mathematical Reasoning Without Human Data

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

https://youtu.be/a2S_-pl6onM New Technologies in Mathematics Seminar Speaker: Gabriel Poesia, Dept. of Computer Science, Stanford University Title: Peano: Learning Formal Mathematical Reasoning Without Human Data Abstract: Peano is a theorem proving environment in which a computational agent can start tabula rasa in a new domain, learn to solve problems through curiosity-driven exploration, and create its own higher level […]

Fitting ellipsoids to random points

Virtual

Probability Seminar Speaker: Antoine Maillard (ETH Zürich) Title: Fitting ellipsoids to random points Abstract: We consider the problem of exactly fitting an ellipsoid (centered at 0) to n standard Gaussian random vectors in dimension d, for very large n and d. This problem has connections to questions in statistical learning and theoretical computer science, and is […]

Nuclear chromodynamics: non-equilibrium phase transition in the nucleus of a living cell

CMSA Room G10 CMSA, 20 Garden Street, Cambridge, MA, United States

Active Matter Seminar Speaker: Alexander Grosberg (NYU) Title: Nuclear chromodynamics: non-equilibrium phase transition in the nucleus of a living cell Abstract: Nucleus of a living cell houses a cell genome - a polymer called chromatin, which is a functional form of DNA.  It is very long, e.g., 2 meters long for every human cell.  Nucleus is […]