
Delve into advanced mathematical concepts exploring parabolic induction functors, focusing on left adjoint properties and their behavior with algebraic weights in p-adic field extensions.

Explore generalized Hitchin systems with Bảo Châu Ngô, delving into new geometric structures and celebrating Hitchin's mathematical legacy in this insightful conference talk.

Delve into advanced mathematical concepts exploring Hamiltonian reduction, local and global Hitchin maps, and their applications in BunG framework and Hecke eigensheaf theory.

Explore the duality between the Pentagon Game and Numbers Game, examining their connections to graph dynamics and mathematical structures like ADE graphs and weight lattices.

Explore Lie theory, groupoids, and algebroids in this advanced mathematics seminar. Discover local integration techniques and their implications for non-integrable Lie algebroids.

Explores welded tangles and foams as higher-dimensional knot theory, connecting their automorphisms to the Kashiwara-Vergne group in Lie theory and relating to knot invariants and Baker-Campbell-Hausdorff series.

Introducción a la teoría de Lie de grupoides y algebroides, explorando sus definiciones, propiedades y aplicaciones en diversas estructuras geométricas.

Explore the formal model of semi-infinite flag manifolds as explicit algebro-geometric objects, examining recent developments in affine Lie algebra representation theory and discussing implications.

Explore connections between Lie theory, quiver Grassmannians, and flag variety degenerations, focusing on PBW filtration in highest weight representations and its impact on degenerate flag varieties.

Explores symmetric closed subsets of real affine root systems and their applications in representation theory, focusing on algebraic and combinatorial methods.

Explore Dynkin combinatorics to understand abelianizations of Lie algebras, delving into advanced algebraic structures and their representations in modern mathematics.

Explore connections between Weyl polytopes, weights, and characters in highest weight modules. Gain insights into algebraic and combinatorial methods in representation theory.

Explore the intricacies of component tableaux in representation theory, uncovering their mysterious properties and magical applications in algebraic structures.

Explore the composition tableau and canonical Weierstrass section construction in this advanced algebraic geometry lecture by Yasmine Fittouhi, part of a broader program on representation theory.

Explore the existence of compact quotients in pseudo-Riemannian homogeneous spaces, delving into advanced geometric concepts and their applications in mathematical physics and topology.

Explore the Mukai conjecture and Kostant game in algebraic geometry, delving into their connections and implications for Hamiltonian geometry.

Explore the homology of real toric varieties linked to E_7 and E_8 Weyl groups in this advanced mathematical talk by Seonghyeon Yu from Ajou University.

Explore torus orbit closures in flag varieties with Eunjeong Lee, delving into advanced mathematical concepts and their applications in toric topology and geometry.

Explore homotopy types of toric orbifolds derived from Weyl polytopes in this advanced mathematical talk, delving into complex geometric structures and their topological properties.

Explore tt*-Toda equations and symplectic groupoids in this advanced mathematics talk by Nan-Kuo Ho, delving into toric topology and geometry concepts.

Explore unipotent character sheaves and strata of reductive groups with George Lusztig, delving into advanced mathematical concepts and their applications.