Vin de Silva - Functors and Cosheaves for Topological Persistence
Explore functors and cosheaves in topological persistence, delving into advanced concepts of applied algebraic topology and their applications in data analysis.
Amit Patel - Generalized Persistence Diagrams
Explore generalized persistence diagrams in algebraic topology, examining their applications and theoretical foundations for advanced data analysis and topological insights.
Topology and Combinatorics of Fair Division
Explore the intersection of topology and combinatorics in fair division problems, examining mathematical techniques for equitable resource allocation and distribution.
Tropical Coordinates on the Space of Persistence Barcodes
Explore tropical coordinates in persistence barcodes, a key concept in applied algebraic topology, and their applications in data analysis and shape recognition.
Chad Giusti - Topology and Neural Computation
Explore the intersection of topology and neural computation, examining how mathematical concepts can enhance our understanding of brain function and artificial intelligence.
Multidimensional Persistence
Explore multidimensional persistence in algebraic topology, examining advanced concepts and applications in data analysis and shape recognition.
Sausages and Butcher Paper
Explore geometric principles through everyday objects, unraveling complex mathematical concepts with accessible examples and innovative visualizations.
Jacob Rasmussen - Floer Homology of 3-Manifolds with Torus Boundary
Explore advanced concepts in Floer homology, focusing on 3-manifolds with torus boundary. Gain insights into cutting-edge mathematical research and its applications in topology.
Exact Results for Metallic Quantum Critical Points - Hart Goldman
Exploring exact solutions for metallic quantum critical points, focusing on recent developments in topology, symmetry, and interactions in condensed matter physics.
Visualizing the Origin of Bulk Metallicity in the Topological Kondo Insulator SmB6 - Harris Pirie
Exploring the interplay of topology, symmetry, and interactions in SmB6, this talk visualizes bulk metallicity origins in topological Kondo insulators, advancing understanding of correlated topological phases.
Flat Bands in Kagome Lattice Metals - Linda Ye
Exploring flat bands in kagome lattice metals, focusing on the interplay between topology, symmetry, and interactions in condensed matter physics. Discusses recent advancements and their implications for understanding electronic properties.
S. Matveev - Dijgraaf-Witten Invariants for Seifert Manifolds
Explore Dijgraaf-Witten invariants for Seifert manifolds in this advanced topology lecture, delving into complex mathematical concepts and their applications in quantum theory.
V. Tarkaev - Kahsaev Task for 4-Dimensional Manifolds
Explore Kahsaev's task for 4-dimensional manifolds in this advanced topology lecture, delving into complex mathematical concepts and their applications in quantum theory.
Khovanov Homology for Knots in Thickened Torus
Explore Khovanov homology for knots in thickened torus, delving into advanced topological concepts and their applications in quantum topology.
String Topology of Finite Groups of Lie Type
Explore string topology's role in understanding cohomology of finite Lie-type groups, connecting to loop spaces and algebraic geometry. Gain insights into recent developments in this mathematical field.
Tensor Triangular Geometry - Lecture 1
Explore symmetric monoidal triangulated categories, their spectra, and analogies to algebraic geometry. Delve into challenges in compactly generated settings and tensor triangulated fields.
Equidistribution of Linear Random Walks on the Torus
Explores quantitative equidistribution for linear random walks on the torus, presenting recent progress relaxing the proximality assumption in Bourgain et al.'s work. Joint research with Nicolas de Saxcé.
Equidistribution of Expanding Translates of Curves in Homogeneous Spaces
Explores equidistribution of expanding translates of non-degenerate real-analytic curves in semisimple group spaces, extending previous work and applying to Diophantine approximation on matrices.
Horocycle Flow on Moduli Spaces of Translation Surfaces
Explore the intricate dynamics of horocycle flow on moduli spaces of translation surfaces in this advanced mathematics lecture by Jon Chaika.
The Transfer Operator Method
Explore the Transfer Operator Method in dynamical systems, focusing on its applications in topology and number theory within the context of advanced mathematical research.
Differential Geometry - Lecture 14
Explore advanced concepts in differential geometry, focusing on complex mathematical theories and their applications in modern geometry.