Prime, Knots and the Adele Class Space
Explore geometric connections between primes and knots through scaling site theory, adele class space, and finite abelian extensions of Q, revealing insights into number theory and topology.
Analytic Stacks - New Foundations for Analytic Geometry - Lecture 11/24
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.
Motives and Super-Representation Theory: Principles and Case Studies
Découvrez les principes et études de cas des motifs et de la (super-)théorie des représentations, explorant la théorie de Galois motivique abstraite.
Analytic Stacks: New Foundations for Analytic Geometry
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.
Analytic Stacks: New Foundations for Analytic Geometry
Explore new foundations for analytic geometry, covering light condensed abelian groups, analytic rings, analytic stacks, and examples.
The Galois Group of the Category of Mixed Hodge-Tate Structures
Explore the Galois group of mixed Hodge-Tate structures, examining its Hopf algebra structure, derived category models, and applications to period theory in complex and p-adic settings.
Invariant and Quasi-Invariant Measures for Actions of Oligomorphic Groups - Part II
Explore advanced concepts of invariant and quasi-invariant measures in oligomorphic group actions, building on Part I's foundations.
Introduction to Abstract Fraïssé Theory
Explore abstract Fraïssé theory's foundations, applications, and key concepts in mathematical analysis and model theory.
Distribution of Translation Orbits Along Good Averaging Sequences
Explore translation orbit distribution along good averaging sequences in topological dynamics and ergodic theory with Mate Wierdl from the University of Memphis.
Asymptotic Pairs in Actions of Amenable Groups
Explore asymptotic pairs in amenable group actions, delving into topological dynamics and ergodic theory concepts presented by Tomasz Downarowicz.
Automatic Sequences from the Point of View of Higher Order Fourier Analysis
Explore automatic sequences through higher order Fourier analysis, examining their properties and applications in topological dynamics, ergodic theory, and combinatorics.
Separating Recurrence Properties in Topological Dynamics
Explore separating recurrence properties in topological dynamics and ergodic theory with insights from John Griesmer's research at Colorado School of Mines.
Cubespaces and Homotopy Theory
Explore cubespaces and their connection to homotopy theory in this advanced mathematical lecture by Freddie Manners from UC San Diego.
Multiple Ergodic Averages Along Polynomials for Systems of Commuting Transformations
Explore multiple ergodic averages along polynomials for commuting transformations systems in this mathematical lecture by Borys Kuca from the University of Crete.
Convergence of Multiple Ergodic Averages for Totally Ergodic Systems
Explore convergence of multiple ergodic averages in totally ergodic systems with Andreas Koutsogiannis. Delve into advanced mathematical concepts and their applications in ergodic theory.
Joint Ergodicity Beyond Polynomials
Explore joint ergodicity beyond polynomials in topological dynamics and ergodic theory with Sebastian Donoso from the University of Chile.
Modern Tools in the Joint Ergodicity Problem
Explore modern techniques for solving joint ergodicity problems in dynamical systems, focusing on recent advancements and applications.
Mean Ergodic Theorems Along Sequences of Polynomial Growth
Explore mean ergodic theorems along polynomial growth sequences, delving into advanced mathematical concepts in ergodic theory and topological dynamics.
Disintegrating Cubic Measures for Sumsets
Explore disintegrating cubic measures for sumsets in topological dynamics, ergodic theory, and combinatorics with Donald Robertson from the University of Manchester.
Infinite Sumsets and Cubic Measures
Explore infinite sumsets and cubic measures in topological dynamics, ergodic theory, and combinatorics with Northwestern University's Bryna Kra.
Infinite Arithmetic Configurations in Sets with Positive Density
Explore infinite arithmetic configurations in positive density sets, delving into nilpotent structures in topological dynamics and combinatorics.