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  • CMSA-Algebraic-Geometry-in-String-Theory-04.19.2022

    Equivariant Verlinde algebra and quantum K-theory of the moduli space of vortices

    Virtual

    Abstract:  In studying complex Chern-Simons theory on a Seifert manifold, Gukov-Pei proposed an equivariant Verlinde formula, a one-parameter deformation of the celebrated Verlinde formula. It computes, among many things, the graded dimension of the space of holomorphic sections of (powers of) a natural determinant line bundle over the Hitchin moduli space. Gukov-Pei conjectured that the equivariant Verlinde numbers are equal to the equivariant quantum K-invariants […]

  • Some combinatorics of Wilson loop diagrams

    Hybrid

    Abstract: Wilson loop diagrams can be used to study amplitudes in N=4 SYM.  I will set them up and talk about some of their combinatorial aspects, such as how many Wilson loop diagrams give the same positroid and how to combinatorially read off the dimension and the denominators for the integrands. **This talk will be […]

  • CMSA-Strongly-Correlated-Quantum-Materials-and-High-Temperature-Superconductors-04.20.21-1583x2048

    Superconductivity in infinite-layer nickelates

    Abstract: Since its discovery, unconventional superconductivity in cuprates has motivated the search for materials with analogous electronic or atomic structure. We have used soft chemistry approaches to synthesize superconducting infinite layer nickelates from their perovskite precursor phase. We will present the synthesis and transport properties of the nickelates, observation of a doping-dependent superconducting dome, and […]

  • CMSA-Interdisciplinary-Science-Seminar-04.21.22-1583x2048-1

    Secure Multi-Party Computation: from Theory to Practice

    Abstract: Encryption is the backbone of cybersecurity. While encryption can secure data both in transit and at rest, in the new era of ubiquitous computing, modern cryptography also aims to protect data during computation. Secure multi-party computation (MPC) is a powerful technology to tackle this problem, which enables distrustful parties to jointly perform computation over […]

  • Future stability of the $1+3$ Milne model for the Einstein-Klein-Gordon system

    Abstract: We study the small perturbations of the $1+3$-dimensional Milne model for the Einstein-Klein-Gordon (EKG) system. We prove the nonlinear future stability, and show that the perturbed spacetimes are future causally geodesically complete.  For the proof, we work within the constant mean curvature (CMC) gauge and focus on the $1+3$ splitting of the Bianchi-Klein-Gordon equations. […]

  • Mathlit_MASKIN-1583x2048

    CMSA/Tsinghua Math-Science Literature Lecture: Three Introductory Lectures on Game Theory for Mathematicians: Auction Theory

    Virtual

    Eric Maskin (Harvard University) Three Introductory Lectures on Game Theory for Mathematicians April 22, 2022 | 9:30 – 11:00 am ET Title: Auction Theory Abstract: Equivalences among four standard auctions: the high-bid auction (the high bidder wins and pays her bid); the second-bid auction (the high bidder wins and pays the second-highest bid); the Dutch […]

  • CMSA-QMMP-Seminar-04.22.22-1583x2048-1

    Higgs = SPT

    CMSA 20 Garden Street, Cambridge, MA, United States

    https://www.youtube.com/watch?v=11vWx0H-PKs&list=PL0NRmB0fnLJQAnYwkpt9PN2PBKx4rvdup&index=14 Speaker: Ruben Verresen Title: Higgs = SPT Abstract: The Higgs phase of a gauge theory is important to both fundamental physics (e.g., electroweak theory) as well as condensed matter systems (superconductors and other emergent phenomena). However, such a charge condensate seems subtle and is sometimes described as the spontaneous breaking of gauge symmetry (or a […]

  • Algebraic Statistics with a View towards Physics

    Abstract: We discuss the algebraic geometry of maximum likelihood estimation from the perspective of scattering amplitudes in particle physics. A guiding examples the moduli space of n-pointed rational curves. The scattering potential plays the role of the log-likelihood function, and its critical points are solutions to rational function equations. Their number is an Euler characteristic. Soft […]

  • CMSA-Algebraic-Geometry-in-String-Theory-04.26.2022

    Modularity of mirror families of log Calabi–Yau surfaces

    Virtual

    Abstract:   In “Mirror symmetry for log Calabi–Yau surfaces I,” given a smooth log Calabi–Yau surface pair (Y,D), Gross–Hacking–Keel constructed its mirror family as the spectrum of an explicit algebra whose structure coefficients are determined by the enumerative geometry of (Y,D). As a follow-up of the work of Gross–Hacking–Keel, when (Y,D) is positive, we prove the […]

  • Workshop on Nonlinear Algebra and Combinatorics from Physics

    CMSA 20 Garden Street, Cambridge, MA, United States

    On April 27–29, 2022, the CMSA hosted a workshop on Nonlinear Algebra and Combinatorics. Organizers: Bernd Sturmfels (MPI Leipzig) and Lauren Williams (Harvard). In recent years, ideas from integrable systems and scattering amplitudes have led to advances in nonlinear algebra and combinatorics. In this short workshop, aimed at younger participants in the field, we will […]

  • CMSA-Colloquium-04.27.22

    Long common subsequences between bit-strings and the zero-rate threshold of deletion-correcting codes

    Speaker: Venkatesan Guruswami, UC Berkeley Title: Long common subsequences between bit-strings and the zero-rate threshold of deletion-correcting codes Abstract: Suppose we transmit n bits on a noisy channel that deletes some fraction of the bits arbitrarily. What’s the supremum p* of deletion fractions that can be corrected with a binary code of non-vanishing rate? Evidently p* is at […]