Equivariant Formality of Isotropy Actions and Products of Spheres
Explore equivariant formality in topology, focusing on isotropy actions and sphere products. Gain insights into advanced mathematical concepts and their applications in toric topology.
Some Remarks on the Cohomology of the Vietoris-Rips Complex of a Hypercube Graph
Explore advanced algebraic topology concepts, focusing on the cohomology of Vietoris-Rips complexes in hypercube graphs, with insights from expert Martin Bendersky.
Cohomology and Geometric Quantization of Toric Manifolds
Explore cohomology and geometric quantization in toric manifolds with expert Lisa Jeffrey, delving into advanced mathematical concepts and their applications in toric topology.
Weight Zero Compactly Supported Cohomology of Hg,n - Forum of Mathematics Video Series
Explore the moduli space Hg,n and its algebraic structure in this mathematical video presentation on weight zero compactly supported cohomology research.
Basic Curvature, the Atiyah Cocycle and BV
Explore advanced mathematical concepts including curvature, Atiyah cocycle, and BV formalism in this in-depth lecture by Athanasios Chatzistavrakidis.
P=W via H2 - Moduli Space of Stable Twisted Higgs Bundles
Explore the cohomology of stable twisted Higgs bundles moduli space through $H_2$ Lie algebra action, unifying weight and perverse filtrations via tautological classes and Hecke operators.
Zeta Functions of Shimura Varieties: Past, Present, and the Near Future
Explore Zeta functions of Shimura varieties, covering historical developments, current research, and future directions in this advanced mathematical topic.
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.
Higher Algebra and Arithmetic - Rothschild Lecture
Explore higher algebra's impact on arithmetic, examining how counting processes influence number theory and cohomology, with applications in geometry and zeta functions.
Graph Complexes, GRT and Cohomology of GLn
Explore graph complexes, GRT, and GLn cohomology with Oxford's F. Brown. Delve into algebra, topology, and the Grothendieck-Teichmüller group in this advanced mathematical lecture.
Top Weight Cohomology of M_{g,n} and the Handlebody Group
Explore top weight cohomology of M_{g,n} and its connection to the handlebody group in algebraic topology and Grothendieck-Teichmüller theory.
Determinants of Cohomology for Number Fields
Explore determinants of cohomology in number fields, delving into advanced mathematical concepts and their applications in algebraic number theory.
On a Problem of Whitney Type in Algebraic Geometry
Explorez le théorème de plongement de Whitney et ses applications en géométrie algébrique complexe, en mettant l'accent sur les résultats récents dans le domaine de Whitney.
Moduli Space of Curves and Its Intersection Theory - Lecture 2
Explore advanced concepts in algebraic geometry, focusing on moduli spaces of curves and their intersection theory in this in-depth lecture.
Moduli Space of Curves and Its Intersection Theory - Lecture 1
Explore the moduli space of curves and its intersection theory in this advanced mathematical lecture by Nitin Kumar Chidambaram.
A Conjectural Reciprocity Law for Realizations of Motives
Explore a conjectural reciprocity law connecting realizations of motives, drawing parallels to classical number theory and expanding on Hodge theory's comparison isomorphisms.
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.
Quantum Periods for Complements
Explore quantum periods for complements, focusing on polynomial-defined spectral curves and quantization of polynomial algebras. Gain insights into cohomological descriptions of WKB series.
Birational Invariants from Gromov-Witten Theory - Lecture 4
Explore birational invariants derived from Gromov-Witten theory, focusing on Iritani's theorem and its applications to proving non-rationality of geometric objects like cubic 4-folds.
Birational Invariants from Gromov-Witten Theory - Lecture 3
Explore birational invariants derived from Gromov-Witten theory, focusing on Iritani's theorem and its applications to proving non-rationality of geometric objects like cubic 4-folds.