Entropy Techniques for Nonlinear Partial Differential Equations - A Few Examples
Explore entropy techniques for nonlinear PDEs, focusing on Fokker-Planck equations. Learn applications in polymeric fluids, molecular dynamics, and high-dimensional algorithms.
Johannes Brödel- From Elliptic Multiple Zeta Values to Modular Graph Functions
Explore the connection between elliptic multiple zeta values and modular graph functions in this advanced mathematics lecture by Johannes Brödel.
Stephan Stieberger - Single Valued Multiple Zeta Values and String Amplitudes
Explores the connection between real and complex iterated integrals in mathematics and their applications to open and closed string scattering amplitudes in physics, using single-valued projections.
Modular Graph Functions and Non Holomorphic Modular Forms
Explore non-holomorphic modular forms in string theory, their properties, and connections to mixed motives and L-functions. Gain insights into advanced mathematical concepts in physics.
Graphical Hyperlogarithms
Explore graphical hyperlogarithms, a generalization of iterated integrals related to cell zeta values. Learn about their graphical representation and coaction formula in subquotient graphs.
The Galois Group of the Category of Mixed Hodge Tate Structures
Explore the Galois group of mixed Hodge-Tate structures, focusing on Tannakian formalism and the canonical description of the Hopf algebra in relation to graded comodules.
Michael Hoffman - Multiple Zeta Values and Alternating MZVs Arising From a Combinatorial Problem
Exploration of multiple zeta values and alternating MZVs stemming from a combinatorial problem, discussing formulas involving Euler polynomials and relations among alternating multiple zeta values.
Raf Bocklandt: Deforming Dimers
Explore deformation theory of dimer models, their relation to mirror symmetry for Riemann surfaces, and various aspects illustrated with examples.
Mesoscale Crystal Plasticity Based on Continuum Dislocation Dynamics
Explores mesoscale crystal plasticity using continuum dislocation dynamics, presenting a novel mathematical model and numerical solution for predicting dislocation patterns in metal crystals.
Two Dimensional Topological Field Theories and Partial Fractions
Explore the connection between 2D topological field theories and sequences derived from surface evaluations, examining target category impacts on sequence occurrence.
Monica Vazirani- Representations of the Affine BMW Category
Explore Walker's TQFT-motivated construction of affine BMW category representations, their combinatorial description, and implications for affine BMW algebra representations in this advanced mathematics lecture.
Homological Mirror Symmetry for Log Calabi-Yau Surfaces - Ailsa Keating
Explore homological mirror symmetry for log Calabi-Yau surfaces, constructing mirror Landau-Ginzburg models and examining connections to SYZ fibrations and related works in algebraic geometry.
TQFTs From Non-Semisimple Modular Categories and Modified Traces - Marco de Renzi
Explore advanced TQFTs, non-semisimple modular categories, and modified traces in topology. Learn about cutting-edge techniques for studying 3-manifolds and mapping class group representations.
TQFTs from Non-Semisimple Modular Categories and Modified Traces - Lecture I
Explore advanced topological quantum field theories, focusing on non-semisimple constructions and modified traces for powerful invariants and mapping class group representations.
Deformations of Path Algebras of Quivers With Relations
Explore deformation theory of path algebras using reduction systems. Learn about L-infinity algebras, formal deformations, and Poisson structure quantization. Accessible to non-experts with examples.
Deformations of Path Algebras of Quivers with Relations
Explore deformation theory of path algebras using reduction systems. Learn to describe all deformations by systematically modifying relations, with applications in representation theory and algebraic geometry.
Deformations of Path Algebras of Quivers With Relations - Lecture I
Explore path algebras of quivers with relations in representation theory and algebraic geometry. Learn about deformation theory using reduction systems to systematically deform relations.
A. Malutin - On Domination of Hyperbolic Knots
Explore hyperbolic knot domination in topology, examining mathematical concepts and techniques for analyzing knot structures and their properties in hyperbolic space.
Self-Intersection of Curves in Surfaces and Drinfeld Associators
Explore self-intersection of curves in surfaces and Drinfeld associators, delving into advanced mathematical concepts and their applications in quantum topology.
Pachner's 3-3 Relations and Hopf Algebras
Explore Pachner's 3-3 relations and their connections to Hopf algebras in quantum topology, delving into advanced mathematical concepts and their applications.
Conjugation of Global Knots
Explore the mathematical concept of conjugation in global knots, delving into advanced topological theories and their applications in quantum mechanics.