Motivic Hochschild Homology Over Algebraically Closed Fields
Explore Hochschild homology in motivic spectra, uncovering torsion classes and connections to Steenrod algebra. Gain insights into algebraic geometry and homotopy theory applications.
Detecting Non-Permutative Elements of K1-Var Using Point Counting
Explore advanced algebraic geometry techniques for detecting non-permutative elements in K1(Var) through point counting methods, presented by Cornell University's Inna Zakharevich.
Euler Classes, Pairings, and Duality
Explore Euler classes in modules, their connection to Hochschild homology pairings, and implications for various forms of duality in homotopy theory and arithmetic geometry.
Topological Cyclic Homology and the Fargues-Fontaine Curve
Explore the connection between localizing invariants and the Fargues--Fontaine curve, with insights on K-theory, topological cyclic homology, and the twistor projective line.
The Family Signature Theorem
Explores Hirzebruch's signature theorem and its extension to families of smooth manifolds, relating intersection forms to characteristic classes and the family index theorem.
Yang-Baxter Elements and a New Proof of Homological Stability for the Mapping Class Group of Surfaces
Explores Yang-Baxter elements in monoidal categories, introducing a novel approach to prove homological stability for surface mapping class groups using semi-simplicial sets and bimarked surfaces.
On the X Y Symmetry in Topological Recursion via Loop Insertion Operator
Explore the x-y symmetry in Topological Recursion through the lens of loop insertion operators, delving into advanced mathematical concepts and their applications.
Reflection
Explore homotopy theory's applications in arithmetic and geometry with David Ayala's insightful conference talk, delving into the concept of reflection in mathematical contexts.
Weights in Homotopy Theory
Explore the concept of weights in homotopy theory, examining their applications and implications for arithmetic and geometric studies in mathematics.
The Mod -p,v1- Motivic Filtration on the Topological Cyclic Homology of Topological K-Theory
Explore the mod (p,v1) motivic filtration on topological cyclic homology of K-theory, delving into advanced concepts in homotopy theory and its applications to arithmetic and geometry.
Syntomic Complexes
Explore syntomic complexes in arithmetic and geometry with Akhil Mathew, delving into advanced mathematical concepts and their applications in homotopy theory.
Equivariant Enumerative Geometry
Explore equivariant enumerative geometry, delving into advanced mathematical concepts and their applications in arithmetic and geometry.
Analytic Geometry
Explore advanced concepts in analytic geometry with renowned mathematician Peter Scholze, delving into its applications in arithmetic and homotopy theory.
Slices of ΣnHZ over Q8
Explore slices of ΣnHZ over Q8, delving into homotopy theory applications in arithmetic and geometry. Gain insights from expert Carissa Slone's research presentation.
How Topological Recursion Organises Quantum Fields on Noncommutative Geometries
Explore how topological recursion structures quantum fields in noncommutative geometries, presented by Alexander Hock from the University of Oxford.
Third Order Cumulants of Complex Wigner Matrices
Explore third order cumulants of complex Wigner matrices in noncommutative geometry and free probability theory, advancing understanding of random matrix theory.
Homological Methods in Random Noncommutative Geometry
Explore homological methods in random noncommutative geometry, covering fuzzy spectral triples, Dirac operators, and connections to random matrix theory and BV formalism.
How Topological Recursion Organizes Quantum Fields on Noncommutative Geometries - Part 2
Explore advanced concepts in quantum field theory, focusing on topological recursion and its application to noncommutative geometries in this advanced mathematics lecture.
Strongly Linear Maps on Bounded Hahn Fields- Applications to Derivations, Logarithms, Automorphisms
Explore strongly linear maps on bounded Hahn fields and their applications to derivations, logarithms, and automorphisms in this advanced mathematics lecture.
Partial Desingularization
Explore partial desingularization in tame geometry, examining interactions between o-minimal, complex analytic, and nonarchimedean methods.
Dichotomy Interlacement Versus Hardy in Definable ODE's
Explore the interplay between dichotomy interlacement and Hardy's theory in definable ordinary differential equations, delving into advanced mathematical concepts and their applications.