Symmetric Power Functoriality for Hilbert Modular Forms
Explore symmetric power functoriality for Hilbert modular forms, comparing with elliptic modular cases in this advanced mathematics lecture by James Newton.
Sparsifying Sums of Norms
Explore norm sparsification techniques, their applications to symmetric submodular functions, and extensions to p-uniformly smooth sums of p-th powers of norms.
Why Are There No 3 Dimensional "Complex Numbers"?
Explores the mathematical reasons behind the absence of 3D complex numbers, delving into algebra, quaternions, and the limitations of number systems beyond 2D complex planes.
A Generalized BDF-Kasparov Theorem and Voiculescu Theorem, Part I
Explore advanced operator algebra concepts, including generalized BDF-Kasparov and Voiculescu theorems, presented by Huaxin Lin from the University of Oregon.
A Generalized BDF-Kasparov Theorem and Voiculescu Theorem, Part II
Explore advanced operator algebra concepts, including generalized BDF-Kasparov and Voiculescu theorems, with expert Huaxin Lin from the University of Oregon.
The Unreasonable Effectiveness of Mathematics in Large Scale Deep Learning - Lecture 3
Explore the mathematical foundations of large-scale deep learning and their surprising effectiveness in this lecture by Greg Yang, delving into advanced concepts and cutting-edge research.
Bi-Lipschitz Embeddings of the Space of Persistence Barcodes
Explore bi-Lipschitz embeddings of persistence barcodes into Hilbert space, focusing on Figalli and Gigli's metric for optimal partial transport and its applications to unordered m-tuples.
One of My Favorite Identities
Explore a fascinating mathematical identity, delving into its properties, applications, and significance in the field of mathematics.
Graph Alignment: Informational and Computational Limits - Lecture 2
Explore graph alignment challenges, focusing on informational and computational limits. Gain insights into probabilistic and optimization methods for data science applications.
Marie-France Vigneras - Representations of GLn(D) Near the Identity
Explore representations of general linear groups over p-adic fields, focusing on dimension formulas for fixed points under congruence subgroups and extensions to inner forms.
J. E. Rodriguez Camargo: A Local Jacquet-Langlands Correspondence for Locally Analytic D-Modules
Explore an equivalence between GL₂(F)-equivariant D-modules on Drinfeld space and D*^-equivariant D-modules on P¹, with applications to Scholze's functor and admissible representations.
The Dynamical Kirchberg-Phillips Theorem
Explore the Dynamical Kirchberg-Phillips Theorem in operator algebras, presented by Jamie Gabe from the University of Southern Denmark, as part of the Fields Institute's Operator Algebra Seminar.
Nuclear C-Algebras as Inductive Limits of Finite Dimensional C-Algebras
Explore nuclear C*-algebras as inductive limits of finite dimensional structures, delving into advanced operator algebra concepts and their applications in mathematics.
Why 1 Is Never Prime, and Sometimes Neither Are Some of Your Favorites
Explore the concept of prime numbers, focusing on why 1 is not considered prime and examining other surprising non-prime numbers in mathematics.
Geometric Properties on Topological Groupoids and Applications to C*-Algebras and Groups - Part II
Explore geometric properties of topological groupoids and their impact on C∗-algebras and group structures in this advanced mathematics seminar by Xin Ma.
Geometric Properties on Topological Groupoids and Applications to C*-Algebras and Groups - Part I
Explore geometric properties of topological groupoids and their impact on C*-algebras and group structures in this advanced mathematics seminar by Xin Ma at the Fields Institute.
Introduction to Theory and Numerics of Partial Differential Equations - Lecture 5
Explore numerical methods for solving partial differential equations, focusing on techniques essential for gravitational wave astronomy and computational relativity.
Anti-Shapeshifters - Easy Visual Logs and Hyperbolic Trig
Explore visual logarithms, hyperbolic trigonometry, and mathematical curiosities through engaging demonstrations and proofs in this captivating video lecture.
A Nice Product From Ramanujan - Featuring 3 Important Constants
Explore Ramanujan's fascinating product involving three crucial mathematical constants, uncovering its significance and implications in number theory.
Geometric Properties on Topological Groupoids and Applications to C*-Algebras and Groups - Part IV
Explore advanced concepts in operator algebra, focusing on geometric properties of topological groupoids and their impact on C*-algebras and group structures.
Geometric Properties on Topological Groupoids and Applications to C*-Algebras and Groups - Part III
Explore geometric properties of topological groupoids and their impact on C*-algebras and group structures in this advanced mathematics seminar by Xin Ma.