• Geometry, Entanglement and Quasi Local Data

    Member Seminar Speaker: Itamar Shamir Title: Geometry, Entanglement and Quasi Local Data Abstract: I will review some general ideas about gravity as motivation for an approach based on quasi local quantities.

  • Strong Coupling Theory of Magic-Angle Graphene: A Pedagogical Introduction

    Virtual

    Title: Strong Coupling Theory of Magic-Angle Graphene: A Pedagogical Introduction Abstract: In this talk, I will review a recently developed strong coupling theory of magic-angle twisted bilayer graphene. An advantage of this approach is that a single formulation can capture both the insulating and superconducting states, and with a few simplifying assumptions, can be treated […]

  • Small Cosmological Constants in String Theory

    Abstract: We construct supersymmetric AdS4 vacua of type IIB string theory in compactifications on orientifolds of Calabi-Yau threefold hypersurfaces. We first find explicit orientifolds and quantized fluxes for which the superpotential takes the form proposed by Kachru, Kallosh, Linde, and Trivedi. Given very mild assumptions on the numerical values of the Pfaffians, these compactifications admit […]

  • What do bounding chains look like, and why are they related to linking numbers?

    Abstract: Gromov-Witten invariants count pseudo-holomorphic curves on a symplectic manifold passing through some fixed points and submanifolds. Similarly, open Gromov-Witten invariants are supposed to count disks with boundary on a Lagrangian, but in most cases such counts are not independent of some choices as we would wish. Motivated by Fukaya’11, J. Solomon and S. Tukachinsky constructed […]

  • Symmetry types in QFT and the CRT theorem

    Virtual

    Title: Symmetry types in QFT and the CRT theorem Abstract: I will discuss ideas around symmetry and Wick rotation contained in joint work with Mike Hopkins (https://arxiv.org/abs/1604.06527). This includes general symmetry types for relativistic field theories and their Wick rotation.  I will then indicate how the basic CRT theorem works for general symmetry types, focusing […]

  • The number of n-queens configurations

    Virtual

    Speaker: Michael Simkin, Harvard CMSA Title: The number of n-queens configurations Abstract: The n-queens problem is to determine Q(n), the number of ways to place n mutually non-threatening queens on an n x n board. The problem has a storied history and was studied by such eminent mathematicians as Gauss and Polya. The problem has also […]

  • Applications of instantons, sphalerons and instanton-dyons in QCD

    Virtual

    Title: Applications of instantons, sphalerons and instanton-dyons in QCD Abstract: I start with a general map of gauge topology, including monopoles, instantons and instanton-dyons. Then comes reminder of the “topological landscape”, the minimal energy gauge field configurations, as a function of Chern-Simons number Ncs and r.m.s. size. It includes “valleys” at integer Ncs separated by […]

  • The many phases of a cell

    Abstract: I will begin by introducing an emerging paradigm of cellular organization – the dynamic compartmentalization of biochemical pathways and molecules by phase separation into distinct and multi-phase condensates. Motivated by this, I will discuss two largely orthogonal problems, united by the theme of phase separation in multi-component and chemically active fluid mixtures. 1. I will […]

  • 9/23/2021 Interdisciplinary Science Seminar

    Title: The number of n-queens configurations Abstract: The n-queens problem is to determine Q(n), the number of ways to place n mutually non-threatening queens on an n x n board. The problem has a storied history and was studied by such eminent mathematicians as Gauss and Polya. The problem has also found applications in fields […]

  • 9/24/2021 General Relativity Seminar

    Title: On the Observable Shape of Black Hole Photon Rings Abstract: The photon ring is a narrow ring-shaped feature, predicted by General Relativity but not yet observed, that appears on images of sources near a black hole. It is caused by extreme bending of light within a few Schwarzschild radii of the event horizon and […]

  • Stability and convergence issues in mathematical cosmology

    Member Seminar Speaker: Puskar Mondal Title: Stability and convergence issues in mathematical cosmology Abstract: The standard model of cosmology is built on the fact that while viewed on a sufficiently coarse-grained scale the portion of our universe that is accessible to observation appears to be spatially homogeneous and isotropic. Therefore this observed `homogeneity and isotropy’ of our […]