The Cohomology of Shimura Varieties with Torsion Coefficients and Applications
Explore Shimura varieties' cohomology with torsion coefficients and its applications in advanced mathematics, presented by Ana Caraiani.
Marie-France Vignéras- Modular Representations of P-Adic Groups
Explore modular representations of p-adic groups in the Langlands program, examining their connections to number theory and geometry using various vector spaces and modules.
Mean Curvature and Variational Theory
Explores recent developments in prescribing mean curvature equations, focusing on existence theory, min-max theory for CMC/PMC surfaces, and Morse theory for area functional. Includes solution to Multiplicity One Conjecture.
The Beauty of Braids - From Knot Invariants to Higher Categories
Explore the fascinating world of braids, knot invariants, and higher categories in mathematics with insights from renowned expert Catharina Stroppel.
Probability Theory for Random Groups Arising in Number Theory
Explores probability theory for random groups in number theory, topology, and combinatorics. Covers moment problems, universality theorems, and distributions of class groups and Selmer groups.
Oscar Randal-Williams: Diffeomorphisms of Discs
Explore the mathematical intricacies of diffeomorphisms on discs with Oscar Randal-Williams in this insightful 45-minute lecture from the International Mathematical Union.
Motivic Cohomology - Past, Present and Future
Explore motivic cohomology's evolution, recent developments, and future prospects in algebraic geometry, including cycles with modulus and Chow-Witt theory.
Kähler Manifolds with Curvature Bounded Below
Explore Kähler manifolds with curvature bounded below, covering Yau's uniformization conjecture, compactification of manifolds, and Gromov-Hausdorff limits in this advanced mathematical survey.
Camillo DeLellis- Regular and Singular Minimal Surfaces
Exploration of minimal surfaces, their properties, and challenges in defining generalized minimal surfaces. Discusses smoothness, singularities, and behavior at singular points, reviewing classical works and recent results.
Tameness in Geometry and Arithmetic: Beyond O-Minimality
Explore advanced concepts in geometry and arithmetic, focusing on tameness beyond o-minimality, with mathematicians Dmitry Novikov and Gal Binyamini.
Ofer Gabber- Bounding the Torsion in the L-adic Cohomology of Smooth Projective Varieties Without
Explore advanced mathematical concepts in l-adic cohomology, focusing on torsion bounds in smooth projective varieties, presented by renowned mathematician Ofer Gabber.
Gabriella Tarantello- On a Donaldson Functional for CMC-Immersions of Surfaces into Hyperbolic
Explore CMC-immersions of surfaces into hyperbolic spaces through a Donaldson functional approach, presented by mathematician Gabriella Tarantello.
The Hug of the Scutoid
Explore the fascinating world of scutoids, a newly discovered geometric shape, and their role in biology and mathematics with mathematician Clara Grima Ruiz.
Aravind Asok, Jean Fasel - Vector Bundles on Algebraic Varieties
Explore vector bundles on algebraic varieties with experts Aravind Asok and Jean Fasel, delving into advanced mathematical concepts and their applications in algebraic geometry.
Keith Ball- The Probabilistic Character of Convex Domains
Explore the probabilistic nature of convex domains with mathematician Keith Ball, delving into geometric concepts and their applications in probability theory.
Geometry of PDEs
Explore the interplay between geometry and partial differential equations, examining optimal geometric structures, shape evolution, and their applications across science and mathematics.
Metric Reconstruction via Optimal Transport
Explores metric reconstruction using optimal transport theory, introducing Vietoris-Rips thickening to recover metric information from point samples in metric spaces, with applications to Riemannian manifolds.
Don Sheehy - Sensors, Sampling, and Scale Selection: A Homological Approach
Explore sensor networks, sampling techniques, and scale selection through algebraic topology. Learn innovative approaches to data analysis and geometric inference in complex systems.
The Geometry of Synchronization Problems and Learning Group Act
Geometric framework for synchronization problems using fibre bundles, twisted cohomology, and Hodge theory. Applications to learning group actions and subgroups from noisy data.
On the Algebraic Geometry of Spaces of Persistence Modules
Explore algebraic geometry's application to persistence modules in topological data analysis, offering insights into data structure and shape analysis.
Stratified Covering Maps and Interleavings
Explore stratified covering maps and interleavings in algebraic topology, examining their applications and theoretical foundations.