Equivariant Elliptic Cohomology
Explore equivariant elliptic cohomology, from motivations to applications in representation theory and global homotopy. Gain insights into elliptic curves, K-theory, and infinity rings.
Stable Cohomology of Automorphism Groups of Free Groups
Explore stable cohomology of automorphism groups of free groups. Delve into advanced mathematical concepts with expert Christine Vespa in this in-depth conference talk.
2-Categorical Constructions and Multiplicative Equivariant Barratt-Eccles Operad
Explore (2)-categorical constructions and multiplicative equivariant Barratt theories in this advanced mathematics conference talk by Angélica M. Osorno.
Tropical Fukaya Algebras
Explore multiple cut operations on symplectic manifolds and their impact on curve count-based invariants, focusing on Fukaya algebras and tropical graph representations.
Khovanov Homology and the Cinquefoil
Explore Khovanov homology's detection of the (2,5) torus knot through advanced Floer homology and recent developments in knot theory.
Prismatic Cohomology of Commutative Ring Spectra
Explore motivic filtrations on trace invariants of commutative ring spectra and their extension to prismatic cohomology, as presented by Arpon Raksit from MIT.
A Homotopical Approach to Crystalline Cohomology
Explore a homotopical approach to crystalline cohomology, focusing on higher homotopies for canonical lifts and easier global definition through gluing.
Nonabelian Mixed Hodge Structures
Explore nonabelian mixed Hodge structures, their relation to rational homotopy, and applications to character varieties and schematic homotopy types. Examine weights from noncompact bases and parabolic structures.
Formalization of Infinity Category Theory
Explore ∞-category theory's formalization, unifying mathematics, computer science, and physics. Learn synthetic reasoning and the Yoneda Lemma in this advanced mathematical seminar.
Stable Homotopy Groups, Higher Algebra, and the Telescope Conjecture
Explore stable homotopy groups, spectra, and their applications in topology and geometry. Gain insights into fundamental concepts shaping modern algebraic topology and related fields.
Cubespaces and Homotopy Theory
Explore cubespaces and their connection to homotopy theory in this advanced mathematical lecture by Freddie Manners from UC San Diego.
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.
Thurston's Asymmetric Metric on Teichmüller Space Revisited
Explore Thurston's asymmetric metric on Teichmüller space and its generalizations to higher-rank Lie groups, examining geometric and dynamical invariants of hyperbolic structures.
A Homotopical Description of Deligne-Mumford Compactifications
Explore homotopical descriptions of Deligne-Mumford compactifications, their relation to GW invariants and Fukaya categories, and implications for symplectic cohomology.
Arthur Bartels: K-Theory of Group Rings
Exploring the Farrell-Jones Conjecture's prediction of K-theory for group rings, focusing on controlled algebra as a bridge between algebraic formulation and geometric proofs.
Coarse Homotopy Theory and K-Theory
Explore coarse homotopy theory and K-theory with Ulrich Bunke, delving into advanced mathematical concepts in noncommutative geometry.
Homotopical Foundations of Quantum Spin Systems
Explore the mathematical foundations of quantum spin systems through homotopy theory, offering insights into non-commutative geometry and operator algebras in physics.
Category of Quantum L-infinity Algebras
Explore quantum L-infinity algebras and their categorical structure in this advanced mathematical physics seminar by Martin Zika.
Color Kinematics Duality and Homotopy Algebras
Explore tree-level BCJ color-kinematics duality, double copy, and L-infinity algebras, advancing to loop-level duality and BV-box algebra applications in mathematical physics.
Sequential Topological Complexity of Group Homomorphisms
Delve into advanced algebraic topology concepts, exploring sequential topological complexity of maps and group homomorphisms through detailed mathematical analysis and computations.
Homotopy and Singular Homology Groups of Finite Digraphs
Explore advanced algebraic topology concepts through the computation of homotopy and singular homology groups in finite directed graphs, with applications in data analysis and network science.