Equivalence of Fluctuations Between SHE and KPZ Equation in Weak Disorder Regime
Explore the connection between stochastic heat equation and KPZ equation, demonstrating fluctuation equivalence in weak disorder regime for 3+ dimensions.
Generalized Symmetries and Phases of Gauge Theory - Lecture 2
Explore higher-form and higher-group symmetries in gauge theory phases, focusing on 3+1 dimensions. Gain insights into anomalies and SPTs through expert analysis.
Introduction to Anomalies in Condensed Matter Physics - Lecture 2
Explore topological and invertible phases in condensed matter physics, covering Majorana chains, bordism invariance, and symmetry-protected topological states.
Introduction to Anomalies in Condensed Matter Physics - Lecture 1
Explore topological phases, invertible phases, and symmetry-protected topological states in condensed matter physics through examples and theoretical frameworks.
Generalized Symmetries and Phases of Gauge Theory - Lecture 1
Explore higher-form and higher-group symmetries in gauge theory phases, focusing on 3+1 dimensions and related concepts like anomalies and SPTs.
Modularity of Donaldson-Thomas Invariants on Calabi-Yau Threefolds
Explore Donaldson-Thomas invariants, their mathematical significance, and modular behavior in string theory. Gain insights into BPS indices, wall-crossing phenomena, and topological string amplitudes.
Inclusive Scattering Matrix in Quantum Theory
Explore inclusive scattering matrix in quantum theory, its relation to cross-sections, and applications in quantum electrodynamics using geometric approach and Keldysh formalism.
Quantum Exclusion Process, Random Matrices and Free Cumulants
Explore quantum exclusion process, random matrices, and free cumulants in relation to particle hopping models and their invariant measure fluctuations.
Matrix Model for Structure Constants of Huge Protected Operators in N=4 SYM Theory
Explore matrix model representations for protected correlation functions of huge operators in N=4 SYM theory, unveiling connections to integrable hydrodynamics and Calogero-Moser models.
Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Perspectives - Lecture 4
Explore alternative viewpoints on quantum mechanics, including algebraic and geometric approaches. Examine concepts like decoherence, particles, scattering, and L-functionals to gain deeper insights into quantum theory.
Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Perspectives - Part 3
Explore alternative viewpoints on quantum mechanics, including algebraic and geometric approaches. Gain insights into particle concepts, scattering, and L-functionals for solving infrared problems in quantum electrodynamics.
Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Perspectives - Lecture 2
Explore alternative viewpoints to quantum mechanics, including algebraic and geometric approaches. Examine observables, states, and scattering concepts without relying on traditional textbook methods.
Quantum Mechanics and Quantum Field Theory from Algebraic and Geometric Perspectives - Part 1
Explore alternative viewpoints on quantum mechanics, including algebraic and geometric approaches. Gain insights into particle concepts, scattering, and L-functionals for solving infrared problems in quantum electrodynamics.
Resurgence and Quantum Modularity
Explore improved analytic properties of q-difference equations, computing Stokes constants, and quantum modular forms in knot theory and related mathematical areas.
Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 3
Explore WRT invariants, Resurgence conjecture, and Teichmüller TQFT in quantum Chern-Simons theory, with detailed examples and new formulations.
Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 2/3
Explore Quantum Chern-Simons Theory, covering WRT invariants, Resurgence conjecture, and Teichmüller TQFT, with detailed examples and discussions.
Resurgence, Quantum Modularity and Quantum Invariants in Three-Manifolds
Explore resurgence in quantum Chern-Simons theory, connecting WRT quantum invariants to BPS q-series. Uncover complex Chern-Simons invariants and prove quantum modularity for Seifert fibered homology spheres.
Quantum Chern-Simons Theory: Real and Complex Formulations - Lecture 1
Explore Quantum Chern-Simons Theory, covering WRT invariants, Resurgence conjecture, and Teichmüller TQFT. Delve into detailed examples and discuss related conjectures.
Topological Phases of Quantum Lattice Systems and Higher Berry Classes - Lecture 3
Explore recent advances in classifying gapped lattice systems and their implications for quantum matter phases, focusing on Short-Range Entangled phases and higher Berry classes.
The Resurgent Structure of Topological Strings
Explore the resurgent structure of topological strings through trans-series solutions of holomorphic anomaly equations, examining Borel singularities and alien derivatives in Calabi-Yau manifolds.
Scaling Limits of Disordered Systems
Explore scaling limits of disordered systems, focusing on the Poland-Scheraga model for DNA denaturation and its phase transition effects.