Symplectic Geometry - Class 20
Explore advanced concepts in symplectic geometry with Professor Ben Webster, delving into complex mathematical theories and their applications in this comprehensive lecture.
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.
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.
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.
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.
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.
Lindelöf Σ-Spaces in 2022
Explore recent developments in Lindelöf Σ-spaces, including their properties, applications, and connections to other areas of set theory and topology.
Complex Analysis in O-Minimal Expansions of Real Closed Fields - Lecture 7
Explore advanced concepts in complex analysis within o-minimal expansions of real closed fields, focusing on theoretical foundations and applications in mathematical logic.
Complex Analysis in O-Minimal Expansions of Real Closed Fields - Lecture 3
Explore advanced concepts in complex analysis within o-minimal expansions of real closed fields, building on previous lectures in this graduate-level series.
Complex Analysis in O-Minimal Expansions of Real Closed Fields - Lecture 1
Explore complex analysis in o-minimal expansions of real closed fields, delving into advanced mathematical concepts and their applications in this graduate-level lecture.
The Corona Problem: Foundations and Historical Context - Part 1
Explore the Corona Problem in complex analysis with Alexander Brudnyi. Gain insights into this fundamental mathematical concept and its applications in analytic function spaces.
On the Canonical, FPQC and Finite Topologies of Noetherian Schemes - Old Questions, New Answers
Explore advanced algebraic geometry concepts, focusing on canonical, fpqc, and finite topologies of Noetherian schemes, addressing longstanding questions with fresh perspectives.