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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 […]

Comments on Non-Invertible Symmetries in K3 CFTs and the Conway Moonshine Module

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

Quantum Field Theory and Physical Mathematics Seminar Speaker: Sarah Harrison, Northeastern Title: Comments on Non-Invertible Symmetries in K3 CFTs and the Conway Moonshine Module Abstract: There is an established connection between discrete symmetry groups of K3 non-linear sigma models and a distinguished N=1 chiral SCFT called the Conway moonshine module. More specifically, all symmetry groups […]

Positive scalar curvature with point singularities

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

https://youtu.be/m9B003wQ0PY General Relativity Seminar Speaker: Rudolf Zeidler, Mathematical Institute, University of Münster Title: Positive scalar curvature with point singularities Abstract: I will explain a certain topological construction of positive scalar curvature metrics with uniformly Euclidean ($L^\infty$) point singularities. This provides counterexamples to a conjecture of Schoen. It also shows that there are metrics with uniformly Euclidean […]

Introduction to the probabilistic approach to Louville theory

Science Center 507 1 Oxford Street, Cambridge

Geometry and Quantum Theory Seminar Speaker: Leon Liu, Harvard Title: Introduction to the probabilistic approach to Louville theory Abstract: I will give an introduction to the probabilistic approach to Louville theory, following Hairer's notes.

Discovery in Mathematics with Automated Conjecturing

Hybrid - G10

https://youtu.be/2tmmafZxBIw New Technologies in Mathematics Seminar Speaker: Randy Davila, RelationalAI and Rice University Title: Discovery in Mathematics with Automated Conjecturing Abstract: Automated conjecturing is a form of artificial intelligence that applies heuristic-driven methods to mathematical discovery. Since the late 1980s, systems such as Fajtlowicz’s Graffiti, DeLaViña’s Graffiti.pc, and TxGraffiti have collectively contributed to over 130 publications in […]