Why p-adic Numbers Are Better Than Real for Representation Theory
Explore p-adic numbers and their application in representation theory, focusing on SL(2) group and nilpotent orbits in Lie algebra.
S-duality and Lie Super-algebras
Explore geometric realization of quantum simple Lie super-algebras, S-duality, and connections to geometric Langlands correspondence and relative Langlands duality.
Homological Aspects of Branching Laws in p-adic Groups
Explore homological aspects of branching laws for p-adic group representations, focusing on restriction to subgroups and projective representations in Bernstein blocks.
Growth in Tensor Powers
Explore tensor power decomposition in group representations, focusing on asymptotic behavior and non-negligible summands using symmetric tensor category theory.
Derived Approach to Highest Weight Categories
Explore highest weight categories in Representation Theory, examining their interpretation through exact categories, abelian envelops, and exceptional collections in derived categories.
New Geometric Structures in the Langlands Program
Explore new geometric structures in the Langlands program, including the moduli space of G-bundles on the curve, and their role in constructing the semi-simple local Langlands correspondence.
Langlands Duality for the Affine Hecke Category
Explore Langlands duality for affine Hecke category, its applications in representation theory, and potential generalizations to symplectic singularities. Gain insights into geometric local Langlands duality.
The Combinatorics of Finite Simple Groups - ICBS 2024
Explore the interplay between finite simple groups, combinatorics, and group theory, examining recent developments and introducing algebraic tools for geometric structures.
The Global Unramified Geometric Langlands Equivalence
Explore the global unramified geometric Langlands conjecture, its history, motivation, and recent proof, along with remaining open questions in the field.
Symplectic Singularities Arising from Algebras of Symmetric Tensors
Explore symplectic singularities from symmetric tensor algebras, their construction, and relation to existing methods in algebraic geometry and representation theory.
Points, Lines, and Subdivisions in Polyhedra - ICBS 2024
Explore polyhedra's role in mathematics, from PL topology to arithmetic, and discover new insights in combinatorics and related fields.
Representations of Simple Affine Vertex Algebras at Elliptic Levels and Affine Springer Fibres
Explore connections between affine vertex algebras and elliptic affine Springer fibres, delving into representation theory and geometric insights.
Towards a Mod p Langlands Correspondence for GL2
Explore the mod $p$ Langlands correspondence for $\mathrm{GL}_2(K)$, examining conjectures and recent progress in this open area of mathematical research.
Total Positivity: Combinatorics, Geometry and Representation Theory
Explore total positivity theory in matrices, its applications, and recent developments in combinatorics, geometry, and representation theory.
A Beautiful World Beyond Hyperbolic Geometry - Anosov Representations and Higher Teichmüller Spaces
Explore advanced geometric concepts beyond hyperbolic geometry, delving into Anosov representations and higher Teichmüller spaces.
Topology, Representation Theory and Higher Structures - Meet the Organisers
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.
K-rings of Wonderful Varieties and Matroids
Explore K-rings of wonderful varieties and matroids with Shiyue Li, delving into advanced mathematical concepts and their applications in algebraic geometry.
Real Reductive Groups, K-Theory and the Oka Principle
Explore real reductive groups, K-theory, and the Oka principle in this advanced mathematics lecture, delving into representation theory and complex analysis concepts.
Symmetries and Quantum Mechanics - The Regular Representation - Lecture 6
Delve into representation theory of groups in quantum mechanics, focusing on regular representation and its fundamental principles in symmetry analysis.
Symmetries and Quantum Mechanics - Orthogonality Relations for Characters - Lecture 5
Explore the fundamental principles of group representation theory in quantum mechanics, focusing on character orthogonality relations and their applications in quantum states.
Symmetries and Quantum Mechanics: Consequences of Schur's Lemma - Lecture 4
Delve into the fundamental principles of group representation theory and its applications in quantum mechanics, with a focus on exploring Schur's lemma and its implications.