The $K(\pi, 1)$ Conjecture - Part 2
Explore the recent proof of the classical K(π,1) conjecture for affine Artin groups, delving into its mathematical intricacies and implications for algebraic topology.
Quantum Topological Data Analysis - Part 1
Explore quantum persistent homology algorithms for pattern recognition in data, leveraging quantum computing's potential to enhance traditional Topological Data Analysis methods and improve efficiency.
Cohomological Hall Algebra of Cyclic Quivers and Integral Form of Affine Yangians
Explore the intricate world of Hall algebra-type constructions and their applications in a lecture by Shivang Jindal from the University of Edinburgh. Delve into the complexities of studying algebras related to the moduli space of representations of the…
Linear BV Quantization as a Functor of Infinity Categories - Lecture
Dive into linear BV quantization as a functor of infinity categories, exploring advanced mathematical concepts in this Prague Mathematical Physics Seminar.
The Fundamental Group of Random 3-Manifolds and Other Random Objects
Dive into the fundamental group of random 3-manifolds, exploring probability distributions and their applications to various categories in mathematics.
Cohomology of Moduli Spaces of Curves
Dive into the cohomology of moduli spaces of curves with Hannah Larson. Explore tautological rings, compactifications, and the mysteries of non-tautological cohomology groups in algebraic geometry.
The Weil Conjectures and A1-homotopy Theory
Dive into the Weil Conjectures and A1-homotopy theory, exploring connections between algebraic topology and finite field equations in this mathematical colloquium.
Courant, Bezout, and Persistence - Lecture 2
Explore spectral geometry through persistence modules and barcodes, examining oscillation of functions and applications to Courant's nodal domain theorem and Bezout's theorem in eigenfunctions.
Courant, Bezout, and Persistence in Spectral Geometry - Lecture 1
Explore spectral geometry and topological persistence, focusing on oscillation of functions, Courant's nodal domain theorem, and Bezout's theorem in the context of eigenfunctions.
Methods for Studying Abelian Actions and Centralizers - Lecture 3
Explore two methods for studying abelian actions and centralizers: linearization and non-linearization. Delve into cohomology concepts and their applications in dynamical systems analysis.
Intro to the Fundamental Group - Algebraic Topology with Tom Rocks Maths
Explore algebraic topology and the fundamental group, from basic concepts to advanced applications like Brouwer's Fixed Point Theorem. Learn to analyze spaces through continuous deformations and group theory.
A Gentle Approach to Crystalline Cohomology - Jacob Lurie
Explore crystalline cohomology and the de Rham-Witt complex in algebraic geometry, with insights on alternative constructions and applications in positive characteristic fields.
Lie Algebras and Homotopy Theory - Jacob Lurie
Explore connections between Lie algebras and homotopy theory, covering fundamental groups, Whitehead brackets, and Quillen's theorem in this advanced mathematics seminar.
Drinfeld's Lemma for Schemes - Kiran Kedlaya
Explore Drinfeld's lemma for schemes with Kiran Kedlaya, covering fundamental groups, base points, and the Stax project in algebraic geometry.
Exceptional Splitting of Reductions of Abelian Surfaces With Real Multiplication - Yunqing Tang
Explore real multiplication in abelian surfaces, focusing on exceptional splitting of reductions. Delve into simple reduction, finite extension, and density zero concepts with insights on special devices and intersection numbers.
A Derived Hecke Algebra in the Context of the Mod P Langlands Program - Rachel Ollivier
Explore derived Hecke algebras in mod p Langlands program, covering super singular modules, involution, trace maps, and twisted duals with Rachel Ollivier.
Relative Poincaré Duality in Non Archimedean Geometry
Delve into advanced mathematical concepts exploring relative mod-p Poincaré duality in rigid-analytic varieties, featuring novel trace map constructions and diagrammatic proofs for smooth morphisms.
Optimal Topological Simplification of Surfaces
Algorithmes et résultats de complexité pour simplifier la topologie des surfaces de manière optimale, en utilisant des courbes et graphes les plus courts possible.
Stability of Reeb Ordering Method in the Framework of Pospaces
Explores stability of Reeb ordering in pospaces, introducing new tools for manipulating posets as graph-like objects and proving stability using interleaving distance among order-compatible topological spaces.
Paires de Hecke et K-théorie
Explorez les paires de Hecke en théorie des nombres, leur lien avec la géométrie à grande échelle et les applications aux conjectures de Baum-Connes et Novikov. Découvrez les avancées en K-théorie des C*-algèbres de Hecke.
The Completion of the Space of Lagrangian Submanifolds for the Spectral Metric
Explore the spectral metric on Lagrangian spaces, its completion, and connections to symplectic topology and sheaf theory through quantization.