From Knots to Number Theory II
Explore connections between quantum knot invariants and number theory, covering topics like hyperbolic topology, Kashaev invariant, and quantum modularity. No prior knowledge required.
Involutions of a Cubic Fourfold
Explore involutions of cubic fourfolds, covering hyperkähler manifolds, period domains, and evolution types. Delve into geometry, rationality, and related mathematical concepts.
Kirchhoff’s Theorem and Semi-Canonical Representatives for the Tropical Prym Variety
Explore Kirchhoff's theorem, metric graphs, and tropical Prym varieties. Delve into divisors, Jacobians, and double covers, gaining insights into advanced algebraic geometry concepts.
Tropical Prym Varieties
Explore tropical geometry, divisors, chip firing, and Jacobians. Learn about double covers, induced maps, and generic curves in relation to Prym varieties.
Modularity of Some Geometric Objects - Definitions, Reasons and State of the Art
Explore zeta functions, L-functions, and Galois representations in geometric objects, focusing on plane projective curves and their conjectured relationships with analytic functions.
Closed Geodesics on Surfaces without Conjugate Points
Explore asymptotic estimates for closed geodesics on surfaces without conjugate points, covering compact surfaces of genus ≥2. Delve into counting methods, uniform hyperbolicity, and proof techniques.
Finding Solitons in Differential Geometry
Explore solitons in differential geometry, their role in discovering distinguished geometric structures, and applications in various mathematical contexts including Lie groups and algebras.
Singular Chains on Lie Groups and the Cartan Relations
Explore the connection between Lie group representations and infinitesimal descriptions using Cartan relations, with applications to Chern-Weil theory and higher local systems on classifying spaces.
Symmetries in Algebraic Geometry and the Cremona Group
Explore symmetries in algebraic geometry, focusing on automorphisms and birational self-maps of projective varieties. Delve into the Cremona group and its subgroups, with insights from recent research.
The Rogers-Ramanujan Identities and the Icosahedron - Lecture 3
Explore the deep connections between Rogers-Ramanujan identities and the icosahedron, spanning number theory, modular forms, combinatorics, and more. Uncover the beauty and complexity of these mathematical gems.
The Rogers-Ramanujan Identities and the Icosahedron - Lecture 2
Explore connections between Rogers-Ramanujan identities and icosahedron, linking number theory, modular forms, combinatorics, and conformal field theory in an accessible survey for mathematicians.
The Rogers-Ramanujan Identities and the Icosahedron - Lecture 1
Explore the deep connections between the Rogers-Ramanujan identities and the icosahedron, spanning number theory, modular forms, combinatorics, and more in this accessible mathematical lecture.
Invariants of Manifolds from 6 Dimensions
Explore advanced mathematical concepts in gauge theories and differential invariants, focusing on invariants of manifolds from 6 dimensions and their applications in theoretical physics.
Virtual Topological Invariants of Moduli Spaces of Sheaves on Surfaces
Explore virtual topological invariants of moduli spaces, focusing on multiplicative classes, convergence, and residual formulas in sheaf theory on surfaces.
Virtual Topological Invariants of Moduli Spaces of Sheaves on Surfaces
Explore virtual topological invariants of moduli spaces, focusing on sheaves on surfaces. Learn about ischemic points, Euler numbers, and perfect obstruction theory.
Large Deviations for Traces of Wigner Matrices
Large deviations theory for traces of Wigner matrices, exploring typical behaviors, principles, and universality. Covers bounded and sub-Gaussian entries, mechanisms, and nonlinear aspects of random matrix theory.
Asymptotics of the Averaged Characteristic Polynomial for Ginibre Ensemble
Explore asymptotics of averaged characteristic polynomials in Ginibre Ensemble, covering Coulomb gas, Szego curves, orthogonal polynomials, and partition functions in random matrix theory.
Determinantal Point Processes - V
Explore determinantal point processes, covering conditional measures, sign processes, gamma kernels, Palm measures, and infinite determinantal measures in this advanced mathematics lecture.
Wroten Type Coding for Kleinian Groups
Explore Kleinian groups through Wroten type coding, covering motivation, concepts, inversion conditions, and generalizations in this mathematical deep dive.
Absolute Continuity of Limiting Spectral Distributions of Toeplitz and Hankel Random Matrices
Explore limiting spectral distributions of Toeplitz and Hankel matrices, focusing on absolute continuity and its implications for random matrix theory.
Eigenvalue Distribution for Non Linear Models of Random Matrices
Explore eigenvalue distribution in non-linear random matrix models, covering motivation, limits, batch normalization, and moment methods with speaker Sandrine PECHE.