Remarks on Lagrangian Submanifolds of Hyper-Kaehler Manifolds
Explore properties of Lagrangian subvarieties in hyper-Kaehler manifolds, focusing on interactions with Lagrangian fibrations and albanese dimension of Lagrangian surfaces.
The Math Behind Attention Mechanisms
Demystify attention mechanisms in Transformer models through visuals, examples, and mathematical explanations, focusing on embeddings, similarity, and key-query-value matrices.
Computational Aspects of Nonabelian Chabauty - Lecture 1
Explore computational techniques for Nonabelian Chabauty methods in arithmetic geometry, focusing on rational points on modular curves and advanced number theory concepts.
Alignment of Random Graphs: Informational and Computational Limits - Lecture 2
Explores informational and computational limits in aligning random graphs, focusing on advanced probabilistic techniques for data science and graph theory applications.
Alignment of Random Graphs: Informational and Computational Limits - Lecture 1
Explore informational and computational limits of random graph alignment in this lecture by Laurent Massoulié, part of a data science discussion on probabilistic and optimization methods.
Generalised Eigenvalues via Flach Classes
Explore the connection between generalized eigenvalues for mod p cusp forms and Galois cohomology classes, focusing on Flach's geometric construction and its implications for Hecke algebra actions.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 3
Exploring advanced techniques in arithmetic geometry for analyzing rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its practical applications.
Topological Uncertainty and Representations for Biomedical Image Analysis
Innovative approach to biomedical image analysis using topological structures and uncertainty, enhancing segmentation accuracy and enabling interactive annotation for fine-scale delineation.
Classical and Quadratic Chabauty - Lecture 3
Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 2
Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
Long Thin Covers and Nuclear Dimension
Explore advanced concepts in operator algebra, focusing on long thin covers and nuclear dimension in C*-algebras, with insights from expert Ilan Hirshberg.
Graduate Course on the Tangent Groupoid in Noncommutative Geometry - Lecture 1
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in graduate-level mathematics.
The Unreasonable Effectiveness of Mathematics in Large Scale Deep Learning - Lecture 2
Explore the mathematical foundations of large-scale deep learning and their surprising effectiveness in this lecture by Greg Yang, delving into advanced concepts and recent developments.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 1
Explore advanced techniques for studying rational points on modular curves, focusing on the Chabauty-Coleman-Kim method and its theoretical and practical applications in arithmetic geometry.
Infinitesimal Operators
Explore the concept of infinitesimal operators in this seminar by James Mingo, delving into advanced topics in operator algebra and their applications.
Graduate Course on the Tangent Groupoid in Noncommutative Geometry - Lecture 2
Explore advanced concepts in noncommutative geometry, focusing on the tangent groupoid and its applications in mathematical physics and operator algebras.
The Chabauty-Coleman-Kim Method: From Theory to Practice - Lecture 4
Explore advanced techniques in arithmetic geometry, focusing on the Chabauty-Coleman-Kim method for studying rational points on modular curves. Gain insights into theoretical foundations and practical applications.
Classical and Quadratic Chabauty - Lecture 3
Explore advanced techniques in arithmetic geometry: Classical and Quadratic Chabauty methods for studying rational points on modular curves, with applications to elliptic curves.
Euler's Other Constant
Explore Euler's lesser-known constant, its properties, and significance in mathematics. Gain insights into this fundamental mathematical concept beyond the famous Euler's number.
What Can Categorical Local Langlands Do for You?
Explore conjectures linking categorical and classical local Langlands correspondences, examining their relationships and current understanding in this advanced mathematics lecture.
Duality in P-adic Pro-etale Cohomology of Analytic Curves
Explore duality theorems in p-adic pro-etale cohomology of analytic curves, delving into advanced mathematical concepts and recent research findings in this specialized field.