Modelling the Erosion of Epigenetic Landscapes in Cancer and Ageing
Explore mathematical models of epigenetic landscapes in cancer and aging, focusing on erosion processes and their implications for disease progression and cellular behavior.
An Invitation to Graph Braid Groups
Explore graph braid groups, from basic concepts to advanced topics like homology and polynomial growth, with insights on various graph types and their properties.
Topology and Dynamics of Higher-Order Networks - Lecture 1: General Introduction to Algebraic Topology on Networks and Simplicial Complexes
Explore algebraic topology in networks and simplicial complexes, focusing on homology and boundary operators. Gain insights into higher-order network structures and their impact on complex systems.
Introduction to Lagrangian Fillings of Legendrian Links - Part 1
Explore Lagrangian fillings of Legendrian links, their construction, and techniques to distinguish Hamiltonian isotopy classes. Delve into the connection with cluster algebras and key proof elements.
Poincaré Duality Fibrations and Graph Complexes
Explore Poincaré duality fibrations and graph complexes in advanced mathematics. Gain insights from Alexander Berglund's conference talk at CIRM's thematic meeting on higher algebra, geometry, and topology.
Ample Groupoids, Topological Full Groups, Algebraic K-Theory Spectra and Infinite Loop Spaces
Explore ample groupoids, topological full groups, and their connections to algebraic K-theory spectra and infinite loop spaces in this advanced mathematics seminar.
Cluster Duality and Non-Holomorphic Spectral Curves
Explore cluster duality, geometric interpretations of tropical points, and their connections to local systems on curves through graphs, Lagrangian coverings, and affine group-valued local systems.
Infer Global, Predict Local - Bias-Variance Theory for Protein Genotype-to-Phenotype Mapping
Explore bias-variance theory in protein genotype-to-phenotype mapping, focusing on global inference and local prediction techniques.
Enumerative Geometry Through Sheaves
Explore enumerative geometry, sheaf counting, and their applications in algebraic geometry. Discover new approaches to generalized Donaldson-Thomas invariants on Calabi-Yau threefolds.
Real Loci of Non-Real Varieties - Mathematics Department Colloquium
Explore cooriented submanifolds in real algebraic geometry, focusing on their properties, intersections, and linking numbers. Gain insights into the geometry of pencils and real projective spaces.
Beauty of Life Seen Through Keyhole of Mathematics - Lecture 2
Explore molecular structures, mathematical thought in genetics, and the nature of life through a mathematical lens. Discuss bioengineering's future and human impact on Earth's ecology.
Beauty of Life Seen Through Keyhole of Mathematics - Part 1
Explore the intersection of mathematics and biology, from molecular structures to ecological impact, in this thought-provoking lecture on life's fundamental nature.
Beauty of Life Seen Through Keyhole of Mathematics - Lecture 3
Explore the intersection of mathematics and biology, from molecular structures to ecological impact, with insights on Life's nature and future bioengineering applications.
Beauty of Life Seen Through Keyhole of Mathematics - Lecture 4
Explore molecular structures, mathematical thought in genetics, and the nature of life. Delve into bioengineering's future and human impact on Earth's ecology.
How Many Quivers Does a Knot Have? - Knots-Quivers Correspondence and Symmetries
Explore knots-quivers correspondence, equivalent quivers classification, and implications for symmetric quiver invariants in knot theory.
Computing Differentials in the Adams Spectral Sequence and the Last Kervaire Invariant Problem
Explore advanced methods for computing differentials in the Adams spectral sequence and uncover recent progress on the Last Kervaire Invariant Problem in dimension 126.
Knots and Categories
Explore connections between knot theory and category theory, delving into mathematical concepts and their interrelationships in topology and algebra.
Correspondences, K-Theory and Homology for Étale Groupoids
Explore advanced mathematical concepts in étale groupoids, focusing on correspondences, K-theory, and homology. Gain insights from expert Alistair Miller in this specialized seminar.
Molecular Manipulation in Hypertrophic Cardiomyopathy - The Beginning of a New Era
Explore groundbreaking molecular manipulation techniques in hypertrophic cardiomyopathy treatment, examining emerging therapeutic approaches and their clinical implications.
Peeking into the Cell with a Chemical Tool - Using Chemical Biology to Capture RNA from Cancer Cells
Discover how chemical biology techniques can be used to capture and study RNA structures in cancer cells, similar to fishing with bait, in this fascinating exploration of cellular research.
Disorder Rules: Transcription Factors and Intrinsically Disordered Proteins
Delve into the molecular mechanisms of intrinsically disordered proteins in gene transcription, focusing on CREB and p53 transcription factors and their functional interactions.