
Explore Thurston's asymmetric metric on Teichmüller space and its generalizations to higher-rank Lie groups, examining geometric and dynamical invariants of hyperbolic structures.

Explore knot invariants and hyperbolic flows in this advanced mathematics talk by Northwestern researcher Solly Coles.

Explore divisible convex sets and β-uniform convexity in this dynamic geometry talk by Amelia Pompilio, delving into advanced mathematical concepts.

Explore Hodge theory for non-Archimedean analytic spaces, extending Deligne's work and generalizing complex analytic constructions. Gain insights into K-analytic spaces and their cohomology groups.

Explore the concept of "almost Pythagorean" right triangles, uncovering a fascinating mathematical property that extends beyond the classic theorem.

Explore the first formalization of ∞-category theory's Yoneda lemma using Rzk, a new proof assistant for synthetic ∞-category theory, paving the way for advanced mathematical proofs.

Explore the effectiveness of credal set volume as a measure of epistemic uncertainty in binary and multi-class classification, highlighting implications for machine learning.

Learn to write clear and effective mathematical proofs with Daniel Solow's comprehensive guide "How to Read and Do Proofs", covering essential techniques for logical reasoning and argumentation.

Explore global synchronization in Kuramoto oscillator networks, examining critical connectivity thresholds and unsolved puzzles in network behavior.

Explore electronic topology and correlations in kagome metals, focusing on transition metal stannides and AV3Sb5 family. Discover unique phenomena arising from magnetism, spin-orbit coupling, and geometric frustration.

Explore morphological analysis of collagen fiber straightness in colon mucosa, revealing insights into colorectal cancer development through topological and statistical approaches.

Explore the hilarious world of maths with Kjartan Poskitt. Discover fascinating number facts, tricks, codes, and predictions through interactive demonstrations and audience participation.

Explore the intersection of topology, representation theory, and higher structures with leading mathematicians. Gain insights into this exciting field's challenges, impacts, and potential applications.

Explore fillings of contact links in isolated quotient singularities. Delve into strong and exact fillings, tight criteria, terminal singularities, and orbifold symplectic cohomology in this advanced mathematics lecture.

Explore quantitative refinements of conjectures in 3D Reeb dynamics and related results. Delve into symplectic topology, Hamiltonian dynamics, and contact geometry with expert Umberto Hryniewicz.

Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into topics like deformations of exterior differential ideals.

Explore cutting-edge research on holomorphic foliations and algebraic geometry. Engage with experts, foster collaborations, and delve into recent advances in complex algebraic geometry and foliation theory.

Explore vertex algebras derived from the Hull Strominger system in complex manifolds, delving into special holonomy and geometric structures. Gain insights into advanced mathematical concepts and their applications.

Explore cubic differentials and harmonic maps in asymptotic cones, delving into special holonomy and geometric structures on complex manifolds. Gain insights from expert John Loftin.

Explore complex manifolds, special holonomy, and geometric structures. Delve into relationships between differential, complex, and algebraic geometry, with applications in physics and symplectic geometry.

Explore 3-(α, δ)-Sasaki manifolds and strongly positive curvature in complex geometry. Delve into special holonomy, geometric structures, and their connections to various mathematical fields.