Finitary Analysis in Homogeneous Spaces
Explore finitary analysis in homogeneous spaces with Amir Mohammadi, delving into advanced mathematical concepts and their applications in this specialized field.
On Ulam's Problem 19 and Related Problems - IPAM at UCLA
Explore uniqueness problems related to Ulam's Problem 19 from the Scottish book, presented by Dima Ryabogin at IPAM's Calculus of Variations workshop.
Quantitative Stability in Geometric and Functional Inequalities - IPAM at UCLA
Explore geometric and functional inequalities in analysis and geometry, focusing on their validity and minimizer structures. Gain insights into recent developments in this fascinating field.
On a Conjectural Symmetric Version of the Ehrhard Inequality
Explores a conjectural symmetric version of Ehrhard's inequality for Gaussian measures, discussing minimizers, equality cases, and connections to Brascamp-Leib inequality on convex sets.
Size of Line Intersections in High Dimensional L_p-Balls and Product Measures
Explore high-dimensional geometry with Bo'az Klartag as he discusses line intersections in L_p-balls and product measures, examining the isodiametric inequality and its implications.
Numerical Analysis - Binary Neutron Stars - IPAM at UCLA
Explore numerical modeling of binary neutron star mergers, covering hydrodynamics, MHD equations, and simulation methods. Learn about gravitational waves, gamma-ray bursts, and r-process elements.
Symmetry Protected Topological Phases, Cobordism, and QCA - IPAM at UCLA
Explore advanced concepts in topological phases of matter, including cobordism classification, SPT phases, and quantum cellular automata in this graduate-level lecture by Lukasz Fidkowski.
Classification of Modular Fusion Categories - Part 1 of 2 - IPAM at UCLA
Explore unitary modular tensor categories and their role in classifying topological phases of matter, covering known results, open problems, and techniques from various mathematical fields.
Symmetry Protected Topological Phases - IPAM at UCLA
Explore symmetry protected topological phases in 1D, 2D, and 3D through examples and models. Understand their relation to group cohomology in this comprehensive lecture by Xie Chen.
The Universe from a Single Particle - IPAM at UCLA
Explore the mathematical foundations of topological phases of matter and their implications for understanding the universe through a single particle perspective.
Groups Acting on Hyperbolic Spaces - A Survey
Explore group actions on hyperbolic spaces with Mladen Bestvina in this comprehensive survey, covering key concepts, recent developments, and applications in geometric group theory.
Arithmetic and Geometric Langlands Program
Explore the intricate connections between arithmetic and geometry in the Langlands program, a groundbreaking mathematical framework unifying number theory and representation theory.
Michael Loss - The Kac Model - Variations on a Theme
Explore the Kac Model and its variations in mathematical physics, delving into theoretical concepts and practical applications in statistical mechanics.
Developments in 3D Ricci Flow Since Perelman
Explore recent advancements in 3D Ricci flow theory post-Perelman, delving into mathematical breakthroughs and their implications for geometric topology and differential geometry.
Points on Shimura Varieties Modulo Primes
Explore the intricacies of Shimura varieties modulo primes, delving into advanced mathematical concepts and their applications in number theory and algebraic geometry.
The Geometry of Geometries - Matroid Theory, Old and New
Explore matroid theory's origins, connections, and recent geometric advances in combinatorial mathematics, highlighting matroid polytope, Bergman fan, and conormal fan models.
Wall-Crossing in Algebraic Geometry
Explore applications of Bridgeland stability conditions and wall-crossing techniques in algebraic geometry, advancing understanding of complex mathematical structures.
Dimitris Koukoulopoulos: Rational Approximations of Irrational Numbers
Explore rational approximations of irrational numbers with Dimitris Koukoulopoulos, delving into mathematical concepts and techniques for understanding these complex relationships.
Phase Separation in Heterogeneous Media
Explores variational models for fluid-fluid phase transitions with small-scale heterogeneities, examining interactions between homogenization and phase separation, and their effects on interfacial energy and large-scale behavior.
A Survey Lecture on Billiards
Explore the fascinating world of mathematical billiards with Richard Evan Schwartz in this engaging survey lecture on dynamical systems and geometry.
Mixing Time and Cutoff for One Dimensional Particle Systems
Explores quantitative aspects of Markov chain convergence, focusing on mixing time and cutoff phenomenon in simple exclusion processes and random walks on the simplex.