Primes, Postdocs and Pretentiousness - 2021 CRM-Fields-PIMS Prize Lecture
Explore prime numbers, academic careers, and mathematical concepts in this engaging lecture by renowned mathematician Andrew Granville, offering insights into number theory and research.
Panel Discussion - 2022 Fields Medal Symposium
Experts discuss mathematical advancements and their implications in this engaging panel, exploring cutting-edge research and its impact on various fields of study.
Tacit Knowledge and Partial Automation in Mathematics
Explore the interplay between tacit mathematical knowledge and automation, examining how unspoken expertise influences computational advancements in mathematical research and practice.
Akshay Venkatesh: The Great Connector - Fields Medal Symposium 2022
Explore Akshay Venkatesh's groundbreaking work connecting diverse mathematical fields and his insights on the evolving nature of mathematical research in the digital age.
How I Became Seduced by Univalent Foundations
Explore the captivating world of univalent foundations in mathematics, delving into its allure and significance through the personal journey of a renowned mathematician.
What Can the Working Mathematician Expect From Deep Learning?
Explore the potential impact of deep learning on mathematics, discussing its applications, limitations, and future prospects for researchers and practitioners in the field.
Opening Remarks - 2022 Fields Medal Symposium
Renowned mathematicians discuss the significance of the Fields Medal and its impact on mathematical research, highlighting recent advancements and future directions in the field.
Machine Learning and Dynamical Systems Meet in Reproducing Kernel Hilbert Spaces
Explore the intersection of machine learning and dynamical systems in Reproducing Kernel Hilbert Spaces, offering insights into advanced mathematical concepts and their applications.
Learning Dynamical Systems
Explore cutting-edge research on integrating machine learning with dynamical systems, presented by expert Sayan Mukherjee from University of Leipzig and MPI MiS.
Approximation Theory of Deep Learning from the Dynamical Viewpoint
Explore deep learning approximation theory from a dynamical perspective, covering supervised learning, universal approximation, sequence modeling, and insights on various neural network architectures.
Deep Learning for Nonlinear Stability Analysis in Dynamical Systems
Explore deep learning techniques for analyzing nonlinear stability in dynamical systems, presented by Bogdan Epureanu from the University of Michigan.
Koopman Operator Theory Based Machine Learning of Dynamical Systems
Explore advanced machine learning techniques for dynamical systems using Koopman operator theory, presented by Igor Mezic from UC Santa Barbara.
Introduction to the Riemannian Curvature Dimension Condition - Lecture 3
Explore advanced concepts in Riemannian geometry with Prof. Gigli, focusing on the Curvature Dimension condition and its applications in non-smooth settings.
Hilbert Spaces With No Choice
Explore the intriguing concept of Hilbert spaces without the axiom of choice in this advanced mathematical seminar, delving into set theory and functional analysis.
Lattices in Semisimple Lie Groups: The Congruence Subgroup Problem and Boundedness Properties
Explore lattices in semisimple Lie groups, focusing on the congruence subgroup problem and boundedness properties in this advanced mathematics seminar by Alex Lubotzky.
Reduction of Singular Riemannian Foliations and How to Detect Boundary of the Leaf Space
Explore singular Riemannian foliations, their reduction, and techniques for detecting leaf space boundaries in this advanced geometry workshop presentation.
Introduction to the Riemannian Curvature Dimension Condition - Lecture 2
Explore advanced concepts in Riemannian geometry with Prof. Gigli, focusing on the Curvature Dimension condition and its applications in non-smooth settings.
Introduction to the Riemannian Curvature Dimension Condition - Lecture 1
Explore the Riemannian Curvature Dimension condition with Professor Nicola Gigli, delving into advanced mathematical concepts for graduate-level understanding of non-smooth geometry.
The Penrose Tiling, Self-Similar Quasicrystals, and Fundamental Physics
Explore the intriguing connections between Penrose tilings, self-similar quasicrystals, and fundamental physics in this thought-provoking seminar by Latham Boyle from Perimeter Institute.
Mathematical Models of Infectious Diseases - Consequences of Underlying Assumption
Explore the impact of underlying assumptions in mathematical models of infectious diseases, examining their consequences for disease dynamics and control strategies.
A Nonsmooth Approach to Einstein's Theory of Gravity
Explore a novel nonsmooth approach to Einstein's theory of gravity, delving into advanced concepts in physics and geometry with expert Robert McCann.