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Higher Vapnik–Chervonenkis theory

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

Colloquium Speaker: Artem Chernikov, University of Maryland Title: Higher Vapnik–Chervonenkis theory Abstract: Finite VC-dimension, a combinatorial property of families of sets, was discovered simultaneously by Vapnik and Chervonenkis in probabilistic learning theory, and by Shelah in model theory (where it is called NIP). It plays an important role in several areas including machine learning, combinatorics, mathematical […]

Topics in Deep Learning Theory

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

Topics in Deep Learning Theory Eli Grigsby

Fusion 2-Categories and their Classification

Science Center Hall E 1 Oxford Street, Cambridge, MA, United States

Geometry and Quantum Theory Seminar Speaker: Thibault Décoppet, Harvard University Title: Fusion 2-Categories and their Classification Abstract: Categorifying the classical notion of fusion (1-)category, fusion 2-categories were recently introduced. These objects have found many applications in Physics, most notably to the classification of topological orders, but also to the description of non-invertible symmetries in 2+1 dimensions. […]

How Far Can Transformers Reason? The Globality Barrier and Inductive Scratchpad

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

https://youtu.be/C6NDdnSaluU New Technologies in Mathematics Seminar Speaker: Aryo Lotfi (EPFL) Title: How Far Can Transformers Reason? The Globality Barrier and Inductive Scratchpad Abstract: Can Transformers predict new syllogisms by composing established ones? More generally, what type of targets can be learned by such models from scratch? Recent works show that Transformers can be Turing-complete in terms of […]

Event Series Mathematical Physics and Algebraic Geometry Seminar

Heterotic Little String Theories and Inequivalent Genus-One Fibrations

Virtual

Mathematical Physics and Algebraic Geometry Seminar Speaker: Hamza Ahmed, Northeastern University Title: Heterotic Little String Theories and Inequivalent Genus-One Fibrations Abstract: Little String Theories (LSTs) are 6D Supersymmetric quantum field theories (SQFTs) with an additional physical relation called T-duality. This enables us to arrange them into equivalence classes, where each equivalence class has 6D LSTs that lead […]

Topics in Deep Learning Theory

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

Topics in Deep Learning Theory Eli Grigsby

The spin-statistics theorem for TFTs

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

Quantum Field Theory and Physical Mathematics Seminar Speaker: Luuk Stehouwer, Dalhousie University Title: The spin-statistics theorem for TFTs Abstract: In quantum field theory (QFT) the spin-statistics theorem says that in a unitary QFT, a particle has half-integer spin if and only if it is a fermion. I show how to phrase this statement in the […]

Formality Theorem and Webs

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

Member Seminar Speaker: Ahsan Khan Title: Formality Theorem and Webs Abstract: The “formality theorem” of Kontsevich was a key result that implies that every Poisson manifold admits a deformation quantization. I will review the ideas behind the formality theorem and discuss a potentially novel viewpoint on it involving webs and twisted masses.