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Toward constructing a large-scale quantum computer based on TQFT

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

Quantum Field Theory and Physical Mathematics Seminar Speaker: Liyuan Chen ( Harvard) Title: Toward constructing a large-scale quantum computer based on TQFT Abstract: Topological quantum computation, motivated by topological quantum field theory (TQFT), offers a promising path toward fault-tolerant universal quantum computation. However, the practical realization of such a system remains challenging due to the […]

BKL bounces outside homogeneity

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

https://youtu.be/g8V7VeQwDtk General Relativity Seminar Speaker: Warren Li ( Princeton University) Title: BKL bounces outside homogeneity Abstract: In work spanning the late 20th century, physicists Belinski, Khalatnikov and Lifshitz (BKL) proposed a general ansatz for solutions to the Einstein (vacuum) equations near singularities. They suggest that the spacetime dynamics at different spatial points on the singularity decouple […]

Datasets for Math: From AIMO Competitions to Math Copilots for Research

Virtual

New Technologies in Mathematics Seminar Speaker: Simon Frieder, Oxford Title: Datasets for Math: From AIMO Competitions to Math Copilots for Research Abstract: This talk begins with a brief exposition of the AI Mathematical Olympiad (AIMO) on Kaggle, now in its second iteration, outlining datasets and models available to contestants. Taking a broader perspective, I then examine 1) […]

Event Series Mathematical Physics and Algebraic Geometry Seminar

2d chiral Lagrangian for asymptotic dynamics for 4d (self-dual) Einstein gravity

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

Mathematical Physics and Algebraic Geometry Seminar Speaker: Wei Bu (Harvard University) Title: 2d chiral Lagrangian for asymptotic dynamics for 4d (self-dual) Einstein gravity Abstract: In this talk, I will present a simple chiral 2d Lagrangian living on a 2d celestial sphere on the null boundary of 4d Minkowski space and briefly mention its first principal […]

The Combinatorics of the Amplituhedron – Tiles, Tilings, and Cluster Algebras

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

Member Seminar Speaker: Matteo Parisi Title: The Combinatorics of the Amplituhedron – Tiles, Tilings, and Cluster Algebras Abstract: The amplituhedron is the image of the positive Grassmannian—the region of the Grassmannian where all Plücker coordinates are nonnegative—under a totally positive linear map. It is a far-reaching generalization of cyclic polytopes and hyperplane arrangements, and the positive […]

Quantum Field Theory and Physical Mathematics

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

Quantum Field Theory and Physical Mathematics Seminar Speaker: Kai Xu, Harvard Title: Finite Landscape of 6d N=(1,0) Supergravity Abstract: We present a bottom-up argument showing that the number of massless fields in six-dimensional quantum gravitational theories with eight supercharges is uniformly bounded. Specifically, we show that the number of tensor multiplets is bounded by T≤193, and the […]

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Large value estimates in number theory and computer science

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

Colloquium Speaker: Larry Guth, MIT Title: Large value estimates in number theory and computer science Abstract: A large value estimate for a matrix M is a simple type of estimate in quantitative linear algebra. Estimates of this type appear in many parts of math, both pure and applied. One example is the large value problem for […]

Machine Learning G2 Geometry

Hybrid

https://youtu.be/3gRquXqwtU8 New Technologies in Mathematics Seminar Speaker: Elli Heyes, Imperial College Title: Machine Learning G2 Geometry Abstract: Compact Ricci-flat Calabi-Yau and holonomy G2 manifolds appear in string and M-theory respectively as descriptions of the extra spatial dimensions that arise in the theories. Since 2017 machine-learning techniques have been applied extensively to study Calabi-Yau manifolds but until […]

Event Series Mathematical Physics and Algebraic Geometry Seminar

Physical Yukawa Couplings in Heterotic String Compactifications

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

Mathematical Physics and Algebraic Geometry Seminar Speaker: Giorgi Butbaia, University of New Hampshire Title: Physical Yukawa Couplings in Heterotic String Compactifications Abstract: Calabi-Yau compactifications of the $E_8\times E_8$ heterotic string provide a promising route to recovering the four-dimensional particle physics described by the Standard Model. While the topology of the Calabi-Yau space determines the overall […]

A Tetrahedral Approach to Calabi-Yau Geometry

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

Member Seminar Speaker: Charles Doran, CMSA Title: A Tetrahedral Approach to Calabi-Yau Geometry Abstract:  We will open with a quick introduction to the what and why of Calabi-Yau geometry.  Following this, we will consider the problem of deforming tetrahedra while preserving the areas of their faces, following our noses to discover a beautiful path to […]