Quadratic Forms in Surface Automorphisms and Singularity Theory
Explore pseudo-periodic surface automorphisms, quadratic forms, and their applications in singularity theory. Gain insights into Milnor fibers and monodromy automorphisms.
Standard and Less Standard Asymptotic Methods - Lecture 4
Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in various mathematical fields.
Moduli Spaces in p-adic Non-abelian Hodge Theory
Delve into p-adic non-abelian Hodge theory through geometric moduli spaces, exploring Higgs bundles, pro-étale vector bundles, and their relationships to Simpson correspondence.
Riemann's Theta Function: From Algebraic Geometry to Water Wave Physics
Explore Riemann's theta function's role in mathematics, from geometry to cryptography, and its connection to water wave physics through the KP equation.
Single-valued Integrals and Modular Forms
Delve into advanced mathematical concepts exploring the relationship between single-valued integrals and modular forms, with applications in analytic number theory and complex analysis.
Low Lying Zeros in Families Related to Complex Multiplication Elliptic Curves
Delve into advanced number theory concepts focusing on low-lying zeros and their relationship to CM elliptic curves, exploring mathematical patterns and theoretical frameworks in this specialized mathematical domain.
Classification of Mapping Classes of Infinite-Type Surfaces
Explore the classification of mapping classes for infinite-type surfaces in this advanced mathematical lecture by Federica Fanoni at CIRM's thematic meeting.
Extensions of 1-Cocycles of the Mapping Class Group to the Ptolemy Groupoid
Explore extensions of 1-cocycles from mapping class groups to Ptolemy groupoids, delving into algebraic topology and Grothendieck-Teichmüller theory.
From Thom's Gradient Cell Decomposition to the Curvature of Milnor Fibers
Explore Thom's gradient cell decomposition and its impact on understanding complex hypersurface singularities, polar curves, and Milnor fibers through algebraic, topological, and Lipschitz-geometric perspectives.
The Quantum Carpets in a Leaky-Box: Poincare's Recurrences in the Continuous Spectrum
Explore quantum carpets in leaky-box systems, generalizing Poincaré recurrences for continuous spectra. Discover novel approaches to resonant state renormalization and coherence analysis using Wigner functions.
Probabilistic Approach to Liouville Theory
Explore probabilistic approaches to Liouville theory in conformal field theory, focusing on integrable, probabilistic, and supersymmetric methods.
From Liouville to Painlevé and Heun via CFT/Isomonodromy Relation
Explore conformal field theory through integrable, probabilistic, and supersymmetric perspectives, connecting Liouville theory to Painlevé and Heun equations.
Heun Connection Matrix from Liouville Conormal Blocks and Darboux Theorem
Explore the Heun connection matrix, Liouville conormal blocks, and Darboux theorem in the context of quantizing moduli spaces.
Moments of L-functions - Lecture 4
Delve into advanced mathematical concepts of L-functions and their moments, exploring circle method applications in analytic number theory and related theoretical frameworks.
Moments of L-functions - Lecture 3
Delve into advanced analytic number theory with a focus on L-function moments, circle method applications, and their connections to rational points and prime number theory.
Riemann, Topology and Physics - Lecture 1
Explore interdisciplinary connections between Riemann geometry, topology, and physics in this doctoral-level lecture by Renzo Ricca at Beijing Institute of Technology.
The Mathematical Universe Behind Deep Neural Networks - Rothschild Lecture
Explore the mathematical foundations of deep neural networks, covering functional analysis, harmonic analysis, complex analysis, approximation theory, and more with Professor Helmut Bölcskei.
Zeroes of Characters
Delve into advanced mathematical concepts exploring character theory and their zeroes, featuring insights from Serre's paper and Deligne's related mathematical discoveries.
Plumber's Algebra Structure on Symplectic Cohomology
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.
Gap in Critical Exponent in Teichmuller Dynamics
Delve into advanced Teichmuller dynamics, exploring SL_2(R) actions on moduli spaces and the critical exponent properties of stabilizer subgroups in relation to lattice structures.
Geometry of Dimer Models - ICBS 2024
Explore asymptotic phenomena in random dimer coverings, focusing on Aztec diamonds and their connection to Riemann surface geometry.