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Dive into the cohomology of moduli spaces of curves with Hannah Larson. Explore tautological rings, compactifications, and the mysteries of non-tautological cohomology groups in algebraic geometry.
Dive into the Weil Conjectures and A1-homotopy theory, exploring connections between algebraic topology and finite field equations in this mathematical colloquium.
Dive into hidden structures on de Rham cohomology of p-adic analytic varieties. Explore Hodge filtration, Frobenius, and monodromy in this advanced mathematical colloquium.
Dive into unstructured sparse recovery problems and explore the innovative eigenmatrix approach for solving non-linear inverse problems in various mathematical applications.
Dive into categorical noncommutative geometry, exploring algebraic varieties through derived categories of coherent sheaves and extending classical concepts to differential graded categories.
Dive into Langlands' theory of reductive groups and their representations in number theory, exploring local and global fields and their connections to arithmetic and geometry.
Explore mathematical insights arising from AI developments in this colloquium by Lek-Heng Lim, examining key observations and their implications for the field.
Explore symmetries of manifolds in topology and geometry. Delve into classical and recent results, methods, and emerging conjectures about symmetry spaces of simple manifolds like spheres and discs.
Delve into symmetries of manifolds, exploring classical and recent results on spaces of symmetries for simple manifolds like spheres and discs, with insights into emerging conjectural perspectives.
Dive into Otis Chodosh's exploration of the Bernstein Problem's generalizations, examining minimal surface equations and their connections to higher dimensions.
Dive into stochastic processes and Yang-Mills theory with Martin Hairer's talk on building a process admitting the 3D Yang-Mills measure as its invariant measure, exploring gauge-covariance and UV regularization.
Dive into nonlinear harmonic maps, exploring singularity formation and defect measures. Gain insights into the Energy Identity conjecture and its recent proof in this advanced mathematics lecture.
Dive into Poisson algebras, combinatorics, and surface group representations. Explore Goldman's Lie algebra construction and its applications to character varieties and Anosov representations.
Dive into a descriptive approach to pointwise ergodic theorems, exploring their applications in dynamical systems, probability, and number theory.
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