Introduction to Chromatic Homotopy Theory - Lecture 3
Explore chromatic homotopy theory's advanced concepts and applications in algebraic topology, building on previous lectures to deepen understanding of this complex mathematical field.
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.
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.
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.
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.
On the Second Homotopy Group of Spaces of Commuting Elements in Lie Groups
Explore the computation of the second homotopy group of Hom(Z^n, G) spaces, focusing on compact Lie groups. Learn about geometric generators and specific results for simply connected, simple groups.
Introduction to Chromatic Homotopy Theory - Lecture 2
Explore chromatic homotopy theory's foundations, techniques, and applications in algebraic topology. Delve into advanced concepts and their significance in modern mathematical research.
Introduction to Chromatic Homotopy Theory - Lecture 4
Explore chromatic homotopy theory's advanced concepts and applications in algebraic topology, building on previous lectures to deepen understanding of this complex mathematical field.
Morava E-Theory - Prep 6
Explore Morava E-Theory in algebraic topology, connecting concepts from commutative algebra and modular representation theory. Gain insights into duality phenomena and classification problems in tensor-triangulated categories.
Eugenia Ellis, Universidad de la República- Algebraic KK-Theory and the KH-Isomorphism Conjecture
Explore the connection between Davis-Lück homology and equivariant algebraic kk-theory, examining the KH-isomorphism conjecture's assembly map through homotopy theory and adjointness theorems.
Homotopy Theories of Coalgebras
Explore homotopy theories of simplicial coalgebras, extending algebraic models for p-adic homotopy theory to include fundamental groups. Discover key ideas and potential G-equivariant analogs.
Equivariant A-Theory & Spaces of Equivariant H-Cobordisms
Explore equivariant A-theory and h-cobordisms, focusing on Waldhausen's algebraic K-theory of manifolds and its role in classifying manifolds and diffeomorphisms.
How to Enhance Categories and Why - Localization and Homotopical Enhancement
Exploring alternative techniques for enhancing localized categories using Grothendieck's derivator concept, offering a conceptually clearer approach than infinity-categories or quasicategories.
TQFTs and the Renaissance of the Algebraic Topology of Manifolds
Explore the resurgence of algebraic topology in manifold studies, focusing on Topological Quantum Field Theories and their impact on modern mathematical research.
Two Problems in Toric Topology
Explore two key problems in toric topology with Stephen Theriault, delving into advanced mathematical concepts and their implications for the field.