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  • Extension of pluricanonical forms in positive and mixed characteristics

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

    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 […]

  • Homotopy categories of rings: some properties and consequences in module categories

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

    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 […]

  • Unveiling Correlated Topological Insulators through Fermionic Tensor Network States

    Virtual

    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 […]

  • 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 […]