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    Rational approximation and the AAA algorithm

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

    Colloquium Speaker: Nick Trefethen, Harvard University Title: Rational approximation and the AAA algorithm Approximation by rational functions used to be mainly a theoretical subject, but with the introduction of the AAA algorithm in 2018, it became computationally practical and indeed easy. The implications for what we can do numerically are enormous. This talk will outline […]

  • Topological to Gravitational Leptogenesis, via Ultra Unification 

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

    Quantum Field Theory and Physical Mathematics Seminar Speaker: Juven Wang (LIMS, Royal Institution) Title: Topological to Gravitational Leptogenesis, via Ultra Unification Abstract: We propose a new mechanism for leptogenesis, named Topological Leptogenesis, in which dark matter consists of topological order, so gapped anyon excitations decay to generate the Standard Model lepton asymmetry. Topological Leptogenesis is in […]

  • Smooth projective fibrations over the projective line and their sections

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

    Member Seminar Speaker: Iacopo Brivio Title: Smooth projective fibrations over the projective line and their sections Abstract: Suppose $f\colon X\to \mathbf{CP}^1$ is a smooth projective fibration, is it then true that $f$ has a section? This deceptively simple result was established by Seidel and McDuff using deep methods of symplectic geometry. Alex Pieloch recently generalized this to morphisms […]

  • A homotopy of 2d SCFTs and an implication for Topological Modular Forms

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

    Quantum Field Theory and Physical Mathematics Seminar Speaker: Vivek Saxena (YITP Stony Brook and NHETC Rutgers) Title: A homotopy of 2d SCFTs and an implication for Topological Modular Forms Abstract: The Segal-Stolz-Teichner conjecture states that there exists an isomorphism between deformation classes of two-dimensional N=(0,1) superconformal field theories (SCFTs) and generalized cohomology classes known as […]

  • Nonlinear Bosonization of (Non-)Fermi Liquids

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

    Quantum Field Theory and Physical Mathematics Seminar Speaker: Yi-Hsien Du (MIT) Title: Nonlinear Bosonization of (Non-)Fermi Liquids Abstract: Fermi liquid theory is a cornerstone of condensed matter physics. I will show how to formulate Fermi liquid theory as an effective field theory. In this approach, the space of low-energy states of a Fermi liquid is identified with a […]

  • Mathematical Physics and Algebraic Geometry Seminar

    The Quantum GIT conjecture

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

    https://youtu.be/_LDiw4Lq-9c Mathematical Physics and Algebraic Geometry Seminar Speaker: Daniel Pomerleano (UMass Boston) Title: The Quantum GIT conjecture Abstract: Let X be a Fano variety with G action. The quantum GIT conjecture predicts a formula for the quantum cohomology of "anti-canonical" GIT quotients X//G in terms of the equivariant quantum cohomology of X. The formula is […]

  • The Einstein-Vlasov system in a large data regime

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

    https://youtu.be/gtvSMhYhD3w General Relativity Seminar Speaker: Nikolaos Athanasiou, University of Crete, Greece Title: The Einstein-Vlasov system in a large data regime Abstract: In this talk, our object of study is the Einstein-Vlasov system with a massless Vlasov matter field. Complementing various important works obtaining the stability of Minkowski spacetime as a solution to this system, we […]

  • On the Coulomb branch scaling dimensions of 4d N=2 SCFTs

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

    Member Seminar Speaker: Robert Moscrop Title: On the Coulomb branch scaling dimensions of 4d N=2 SCFTs Abstract: To each four dimensional N=2 superconformal field theory of rank-r, one can associate an r-tuple of numbers given by the scaling dimensions of a special set of protected operators whose VEVs parameterise the Coulomb branch. In this talk, I will demonstrate […]

  • Quantum Cellular Automata

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

    Special Seminar Speaker: Jeongwan Haah, Stanford University Title: Quantum Cellular Automata Abstract: A discrete time evolution on lattice systems that has a notion of lightcone is called a quantum cellular automaton. Lattice translation in 1D is a well-known example of QCA that is nontrivial in the sense that it is not a local Hamiltonian evolution. […]

  • Can Transformers Reason Logically? A Study in SAT-Solving

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

    https://youtu.be/o7uac6DuzcQ New Technologies in Mathematics Seminar Speaker: Leyan Pan, Georgia Tech Title: Can Transformers Reason Logically? A Study in SAT-Solving Abstract: Transformer-based LLMs have apparently demonstrated capabilities that resembles human reasoning. In our recent work, we investigated the Boolean reasoning abilities of decoder-only Transformers equipped with Chain-of-Thought, establishing that a Transformer model can decide all […]

  • Mass for the large and for the small

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

    General Relativity Seminar Speaker: Tin Yau Tsang, Courant Institute, New York University Title: Mass for the large and for the small Abstract: Seeking a meaningful geometric (physical) invariant to describe a spacetime has sparked research in both mathematics and physics. In this talk, we will first see the fundamental progress made by Schoen-Yau and Witten […]

  • Computability on $\mathbb R$ and other continuum-size structures

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

    Colloquium Speaker: Russell Miller, CUNY Title: Computability on $\mathbb R$ and other continuum-size structures Abstract: We begin by recalling the notion of a computable function on the real numbers $\mathbb R$, developed independently by Gregorczyk and Lacombe over sixty years ago. Using this notion, we note that the real numbers that are themselves computable form […]