From the A2 Quiver Towards the Painlevé I T Function
Explore quantisation of moduli spaces through the A2 quiver and Painlevé I T function, gaining insights into advanced mathematical concepts.
Combinatorial Quantization and BV Structures of Moduli of Flat Connections - Part 2
Explore quantisation of moduli spaces through combinatorial methods and BV structures, focusing on flat connections in mathematical physics.
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.
Quantum Hall Effect via the Grothendieck-Riemann-Roch Formula
Explore geometric and analytic aspects of the Quantum Hall effect through the lens of the Grothendieck-Riemann-Roch formula with expert insights from D. Zvonkine.
3D Boundary Vertex Operator Algebras and Higgs Branches
Delve into advanced mathematical physics concepts exploring the relationship between 3D boundary vertex operator algebras and Higgs branches in quantum field theory.
The Emergent String Conjecture in Quantum Gravity
Explore the Emergent String Conjecture in quantum gravity, its origins, implications, and recent developments in theoretical physics and string theory.
Quantization Commutes with Reduction: The Quantum GIT Conjecture - ICBS 2024
Explore the latest results in quantum reduction, comparing gauged and symplectic-reduced 2D A-models. Delve into quantum cohomologies in monotone cases and intriguing conjectures.
Representation Theory for Finite W-algebras
Delve into advanced representation theory, exploring Whittaker reduction, finite W-algebras, and their connection to Lie algebras through geometric and algebraic perspectives.
Construction of Finite W-algebras and Slodowy Slice Quantization
Delve into advanced mathematical concepts of Slodowy slices, nilpotent orbits, and finite W-algebras, exploring their construction, Poisson structures, and quantization methods in semisimple Lie algebras.
Moduli Spaces of Local Systems in Algebraic Varieties
Delve into advanced mathematical concepts of local systems and Galois representations, exploring construction methods and parameter spaces in Betti, deRham, and l-adic settings.
Counting Points on Bun_G - Talk 35
Delve into advanced algebraic geometry as Matthew Emerton explores G-L trace formula for Bun_G, providing a detailed proof of Conjecture 8 from Lurie's earlier lectures.
Elliptic Curves Associated to Two-Loop Graphs and Feynman Diagrams - Rothschild Lecture
Explore elliptic curves in two-loop Feynman diagrams, examining their emergence in cubic hypersurfaces and potential connections to elliptic dilogarithms in quantum field theory amplitudes.
The Exponential Type Conjecture for Quantum Connections
Delve into quantum connections and formal singularity types, exploring the exponential type conjecture proof for closed monotone symplectic manifolds through mod p arguments and Katz's theorem.
Applied l-adic Cohomology I - Lecture 3
Delve into advanced number theory concepts, exploring l-adic cohomology and trace functions through examples from modern analytic theory, with insights from Gauss, Weil, and Grothendieck's foundational work.
Maximal Mumford Curves and Graph Embeddings in Real Algebraic Geometry
Explore the geometric properties of MM-curves, focusing on real stable curves, hyperplane arrangements, and graph embeddings in relation to Mumford curves and their deformations.
Classification of Some Open Toric Domains
Delve into advanced symplectic geometry, exploring the classification of open toric domains in R4 and their symplectomorphic properties through S1-equivariant symplectic homology analysis.
Counting Representations of Fuchsian Groups Over Finite Fields
Delve into advanced mathematical concepts exploring representation theory of Fuchsian groups, character bounds, and their applications in high-dimensional classical groups and Zariski-dense subgroups.
Proof of the Geometric Langlands Conjecture
Delve into advanced mathematical concepts exploring the Geometric Langlands Conjecture, including de Rham, Betti, and l-adic contexts, presented by Dennis Gaitsgory with collaborative insights.
Motives of the Hitchin System
Delve into advanced algebraic geometry exploring the Hitchin system's topology, examining symmetries through algebraic cycles, Fourier-Mukai duality, and Springer theory applications.
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.
Applied l-adic Cohomology - Lecture 1
Delve into advanced number theory concepts, exploring l-adic cohomology and trace functions through Gauss's congruence theory and its modern applications in analytic number theory.