IAS Mathematics: Hodge Theory and O-Minimality in Algebraic Geometry
School of Mathematics seminar series on period mappings, variations of Hodge structure, tame geometry via o-minimal structures, and applications to the Zilber-Pink conjectures.
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Complete university courses recorded at Institute for Advanced Study.
School of Mathematics seminar series on period mappings, variations of Hodge structure, tame geometry via o-minimal structures, and applications to the Zilber-Pink conjectures.
Institute for Advanced Study colloquium series examining moral economy, political epistemology, humanitarian ethics, and the philosophical foundations of social critique.
Advanced theoretical physics lecture sequence at the Institute for Advanced Study exploring asymptotic symmetries, soft theorems, celestial conformal field theory, and flat-space holography.
Research workshop investigating black hole information, replica wormholes, generalized gravitational entropy, von Neumann algebras in quantum gravity, and holographic spacetime emergence.
Self-contained seminars, public lectures, and invited talks.
Explore the properties of ECH curves and their topological control in rational homology spheres, detecting interesting invariant sets within symplectic dynamics.
Explore the intricate connections between Aubry-Mather theory in dynamical systems, the complete devil's staircase, and their surprising implications for fractional quantum Hall effects.
Pazit Haim-Kislev examines various definitions of symplectic equivalence for subsets of R^2n, demonstrating instances where these notions diverge and presenting counterexamples that highlight their non-coincidence in general.
A rigorous exploration of Kupka-Smale genericity in analytic strongly convex billiards, detailing conditions for maximal chaotic behavior and the existence of transverse homoclinic intersections.
Institute for Advanced Study School of Mathematics seminar investigating symplectic rigidity, Floer homology persistence modules, and invariant subsets of Hamiltonian flows.
Nobel Laureate Frank Wilczek explores the deep connections between quantum phenomena, fundamental symmetries, and topological structures in this IAS seminar.



Physical law, LIGO gravitational waves, singularity topology, and AdS/CFT entanglement
Cornell University · Caltech · University of Oxford +2



Discrete proof invariants, stochastic conditioning, pseudorandomness, and P vs. NP
MIT · Harvard University · UCLA +2
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