
Explore high-dimensional generalizations of Seifert fibrations, extending classical concepts to modern topological structures and manifolds.

Explore the Thurston norm in 3-manifolds with 2-generator fundamental groups, delving into advanced concepts in quantum topology and geometric group theory.

Explore the construction of Khovanov homology, a powerful invariant in knot theory, and its applications in quantum topology and low-dimensional manifolds.

Explore the connection between quantum toric manifolds and tame geometry through Hodge number computations of LVM manifolds, providing insights for future research in non-commutative geometry.

Explore T-duality's mathematical framework, focusing on symmetries between quantum field theories and its application to torus actions with fixed points using elliptic tangent bundles.

Explore innovative polymer design strategies for efficient gas separation, focusing on material properties and molecular interactions to enhance selectivity and permeability in industrial applications.

Explore the fascinating journey of liquid crystals from their discovery in carrots to their application in flat screens, revealing their impact on technology and daily life.

Explore advanced concepts in quantum physics with Oxford researcher Sakura Schafer-Nameki, focusing on the Categorical Landau Paradigm and SymTFT in relation to quantum error correction and gravity.

Explore inertial and active caustics in fluid dynamics, focusing on fundamental concepts and applications in soft and living matter physics.

Explores defect emission and absorption in liquid crystals on conical surfaces, focusing on geometric effects and topological constraints in soft matter physics.

Explore two-dimensional crystals, their unique properties, and applications in materials science. Gain insights into cutting-edge research and potential future developments in this fascinating field.

Explore chromogeometry's three-fold symmetry, combining Euclidean and relativistic geometries. Discover new patterns and relations beyond traditional approaches, opening doors to 21st century geometric insights.

Explore connections between geometry, statistical mechanics, and integrability in this interdisciplinary program. Uncover links between probability theory, combinatorics, and various geometric structures.

Explore Floer theory, quantum groups, and gauge theories in 3-manifolds. Discover connections between moduli spaces, Floer invariants, and skein modules in topological quantum field theory.

Explore black holes, symmetries, and impossible triangles with Nobel Laureate Roger Penrose in this engaging conversation covering his groundbreaking work in mathematical physics and cosmology.

Explore the fascinating world of magnetic monopoles, their theoretical existence in 'spin ices', and potential revolutionary applications in electronics, overcoming current limitations of electrical systems.

Explore spherical T-duality and its connection to generalized log transform, with applications to generalized Hopf manifolds. Gain insights into advanced mathematical concepts and their interrelations.

Explore spinor-valued Higgs bundles with Nigel Hitchin, examining their unique properties and implications for Riemann surface geometry. Gain insights into Dirac equations and vector bundle theory.

Explore quasi-local black hole horizons in this advanced lecture on gravitational physics, focusing on dynamical horizons and their applications in understanding compact objects.

Explore mirror symmetry, Hitchin systems, and algebraic structures in representation theory. Discover connections between equivariant cohomology, Kirillov algebras, and affine Schubert varieties.

Explore T-duality's mathematical history, successes, and challenges, focusing on a new differential geometric approach to log-geometry for handling fixed points in torus actions.