
Explore p-form symmetries in functorial quantum field theory, focusing on implementing finite group global and gauged symmetries in TQFT using cohomology-decorated bordisms.

Explore interdisciplinary connections between Riemann geometry, topology, and physics in this doctoral-level lecture by Renzo Ricca at Beijing Institute of Technology.

Delve into advanced mathematical concepts exploring discrete groups, focusing on their geometric properties, arithmetic relationships, and dynamic behaviors in mathematical theory.

Dive into advanced mathematical concepts exploring the unitary cobordism hypothesis, its geometric implications, and connections to physics in this theoretical seminar presentation.

Delve into advanced symplectic geometry concepts, exploring Plumber's PROP structures, nodal Riemann surfaces, and their applications to cohomological field theories and curve counting methods.

Delve into advanced mathematical concepts exploring why compact holonomy G_2 manifolds may not exhibit formality, challenging previous conjectures about special and exceptional holonomy manifolds.

Delve into advanced symplectic geometry, exploring the classification of open toric domains in R4 and their symplectomorphic properties through S1-equivariant symplectic homology analysis.

Explore conceitos avançados de análise em variedades, incluindo formas diferenciais, teorema de Stokes, cohomologia de De Rham e aplicações em geometria diferencial.

Dive into advanced mathematical concepts exploring the relationship between graded vector bundles and graded manifolds through rigorous theoretical analysis and demonstrations.

Master high-poly to low-poly character model optimization techniques, UV mapping, and preparation for texture baking in Substance Painter and Maya for game-ready assets.

Master low-poly game asset modeling in Maya by creating a stylized tank from scratch, learning clean topology techniques and professional workflows for hard surface modeling.

Master hard surface modeling in Maya through creating a robot character, focusing on box modeling, booleans, and topology techniques for game-ready results.

Master the fundamentals of creating sci-fi character base meshes in ZBrush through step-by-step sculpting techniques, polygroup management, and essential mesh preparation for detailed character development.

Discover essential techniques for mastering hard surface topology in 3D modeling, from basic flat surfaces to complex curved geometries, with practical examples and expert guidance.

Delve into advanced symplectic geometry concepts, focusing on algebraic torsion in contact manifolds and its applications to understanding topological complexity through curve counting methods and Floer theories.

Delve into advanced mathematical concepts exploring discrete groups, focusing on their geometric properties, arithmetic relationships, and dynamic behaviors in mathematical theory.

Explore conceitos avançados de análise em variedades, incluindo fibrados tangentes, formas diferenciais e o Teorema de Stokes, com aplicações práticas em geometria diferencial.

Delve into advanced algebraic topology concepts, exploring distributional LS-category, sequential topological complexity, and intertwining invariants in manifolds, with applications to motion planning.

Delve into advanced number theory concepts through an exploration of Tamagawa numbers, their role in lattice enumeration, L-functions, and geometric interpretations in function fields.

Delve into E_n-algebras, exploring their fundamental properties, infinity-operads, and connections to Verdier duality and non-abelian Poincare duality in advanced mathematics.

Delve into non-abelian Poincaré duality, exploring its relationship between l-adic homology of BunG and Beilinson-Drinfeld Grassmannian, featuring Drinfeld's simplified proof approach.