G-modules: Stable Categories and Subcoalgebras - Lecture on Affine Group Scheme Representations
Explore affine group scheme representations, stable module categories, and support theory for G-modules. Discover filtrations associated with subcoalgebras of coordinate algebras in this advanced mathematics lecture.
Interpolation Categories for Finite Linear Groups
Exploration of representation stability for complex representations of finite linear groups, focusing on interpolation categories and their applications in algebraic geometry.
Pre-Galois Categories and Discrete Categories - Lecture on Symmetric Tensor Categories
Exploration of symmetric tensor categories, oligomorphic groups, and their connections, with insights into potential classification methods in representation theory.
Oligomorphic Groups and Tensor Categories
Explore oligomorphic groups and tensor categories, focusing on joint work attaching symmetric tensor categories to oligomorphic groups with measures, leading to new and interesting mathematical discoveries.
Wobbly Fixed Points, Equivariant Multiplicities and U(p,q)-Higgs Bundles
Explores geometry of Higgs bundle moduli spaces, focusing on nilpotent cone fixed points and their classification. Analyzes U(p,q)-Higgs bundles and compares results with equivariant multiplicities.
Support Variety Theory for Algebraic Supergroups
Explore algebraic supergroups and support variety theory in this advanced mathematics lecture, focusing on representations and Frobenius symmetric monoidal tensor categories.
Growth in Tensor Powers - Representation Theory
Explores growth patterns in tensor powers of group representations, introducing a new invariant and its properties using tensor category theory.
Higgs Bundles and the Topology of Higher Teichmüller Spaces
Explore advanced mathematical concepts in topology, focusing on Higgs bundles and their role in understanding higher Teichmüller spaces for non-compact real Lie groups.
Closure of Orbits of the Pure Mapping Class Group on the Character
Explore the closure of orbits in pure mapping class groups on character varieties, delving into Zariski dense subgroups and their applications in geometry and number theory.
Higgs Bundles, Convex Cocompact Subgroups of SU(1,n), and Slodowy Slices
Explore Higgs bundles, SU(1,n) subgroups, and Slodowy slices. Discover connections between stable Higgs bundles and holonomy groups, focusing on SU(1,n) representations and complex hyperbolic manifolds.
Positivity and Higher Teichmüller Spaces
Explore positivity in Lie groups, positive representations, and their connected components. Delve into Hitchin's Teichmüller components and related open questions in higher Teichmüller theory.
Finite Dimensional Approximations of Groups
Explore finite dimensional approximations of groups in this mathematical seminar, delving into advanced concepts in operator algebra and group theory.
Galois Groups of Lacunary Sparse Polynomial Systems
Explore Galois groups in lacunary sparse polynomial systems, examining their properties and applications in algebraic geometry and number theory.
Right-Angled Artin Subgroups of Graph Braid Groups
Explore right-angled Artin subgroups in graph braid groups, examining recent conjectures and their applications to topological complexity in algebraic topology.
Stationary Measures for Fuchsian Groups and Related Contexts
Explore stationary measures for Fuchsian groups and related contexts, delving into geometric group theory's recent breakthroughs and connections to diverse mathematical areas.
On the Geometry of Extensions of Free Groups
Explore geometric group theory's advancements, focusing on free group extensions. Gain insights from experts through minicourses and collaborative research in this intensive workshop.
Coxeter Groups are Biautomatic - Lecture 3
Explore Coxeter groups and their biautomatic properties in this advanced mathematics lecture, part of a comprehensive workshop on geometric group theory.
Growth of Subgroups with Hyperbolicity - Lecture 3
Explore growth of (sub)groups with hyperbolicity in this advanced mathematics lecture, part of a workshop on geometric group theory featuring eminent researchers and collaborative research opportunities.
Property(T), Median Spaces and CAT(0) Cubical Complexes - Lecture 3
Explore Property(T), median spaces, and CAT(0) cubical complexes in this advanced geometric group theory lecture by Indira Chatterji, part of a workshop on cutting-edge research topics.
Hyperbolicity - Exploring Negative Curvature in Geometry
Explore negative curvature and hyperbolicity in everyday objects, from underwater environments to clothing and brain structures, challenging traditional geometry concepts.
The Atiyah-Singer Index Theorem - An Overview
Explore the Atiyah Singer Index Theorem, a groundbreaking result connecting differential equations, geometry, and topology, with insights from renowned mathematician M.S. Raghunathan.