On the Kontsevich Geometry of the Combinatorial Teichmüller Space
Explore combinatorial Teichmüller space, global Fenchel-Nielsen coordinates, and Kontsevich symplectic form. Learn about integrating geometric functions over combinatorial moduli spaces in this advanced mathematics lecture.
Polynomials for Quivers and Topological Recursion
Explore A-polynomials for quivers and their connection to topological recursion in this advanced mathematics lecture by Piotr Sułkowski from the University of Warsaw.
Topological Recursion for Hurwitz Theory and Intersection Theory of Moduli Spaces of Curves
Explore topological recursion in Hurwitz theory and its connections to moduli spaces of curves. Discover ELSV-type formulae and their impact on understanding ramifications and cohomological field theories.
Prequels and Possible Sequels to Topological Recursion
Exploration of topological recursion's origins, connections to Hopf algebras, and potential future developments, bridging discrete data and moduli spaces through cubical complexes.
Resurgence of Faddeev's Quantum Dilogarithm Function
Explore the mathematical proof linking Borel resummation of formal power series to Faddeev's quantum dilogarithm in linear difference equations.
Open-Relative Correspondence and Topological Recursion
Explore the connection between open Gromov-Witten invariants and relative Gromov-Witten invariants in symplectic geometry, and their relation to topological recursion.
Topological Recursion, Virasoro-W-Algebra Constraints, and Kontsevich-Soibelman
Explore Virasoro and W-algebra constraints in topological recursion, Kontsevich-Soibelman operators, and their connection to Conformal Field Theory in this advanced mathematics lecture.
Exceptional Collections and Rationality
Explore the relationship between exceptional collections and rationality in algebraic geometry, focusing on non-closed fields and toric varieties. Gain insights into recent developments and open questions in this area.
Functoriality in Gromov Witten Theory
Explore advanced concepts in Gromov-Witten theory, including quantum Lefschetz, quantum Leray-Hirsch, and functoriality in birational transformations, presented by Yuan-Pin Lee from the University of Utah.
Topological Recursion - Lecture II
Explore advanced concepts in topological recursion with expert Bertrand Eynard, delving into complex mathematical theories and their applications in physics and geometry.
Topological Recursion - Lecture I
Explore the foundations of topological recursion with expert Bertrand Eynard, delving into mathematical concepts and applications in this comprehensive lecture.
New Rational Cubic Fourfolds via Cremona Transformation
Explore birational equivalence of cubic fourfolds and K3 categories, focusing on cases with Veronese surfaces and using Cremona transformations to discover new rational cubic fourfolds.
Geometric Recursion - Lecture II
Explore geometric recursion's relation to topological recursion, focusing on mapping class group invariant functions and their applications in moduli spaces and Gromov-Witten invariants.
Homological Mirror Symmetry for Some Non-Kähler Elliptic Surfaces
Explore homological mirror symmetry for non-Kähler elliptic surfaces, including logarithmic transformations and potential applications to singular curves and mirror operations.
Math and Nature
Explore mathematical patterns in nature and their applications in neuroscience. Discover how math reveals hidden structures in the world and aids in developing medical solutions for neurological disorders.
Quantization of Moduli Spaces of Local Systems at Roots of Unity
Explore quantization of G-local system moduli spaces on decorated surfaces, discussing applications to quantum topology and quantum group representations.
A Local Version of HMS for Parabolic Hitchin Space
Exploring coherent sheaves on Springer fibers and their relation to microlocal sheaves, with applications to mirror duality in parabolic Hitchin spaces.
Toward Homological Mirror Symmetry for Intrinsic Mirror Pairs
Exploration of homological mirror symmetry for intrinsic mirror pairs, comparing algebraic-geometric and symplectic approaches using quantum cohomology and VFC machinery.
Mirrors of Curves and Their Fukaya Categories II
Exploración avanzada de la simetría especular homológica para curvas, enfocándose en la geometría simpléctica de sus espejos y las categorías de Fukaya. Incluye discusiones sobre modelos de Landau-Ginzburg y geometría tropical.
Quantum Spectrum in Algebraic Geometry II
Explores quantum spectrum in algebraic geometry, focusing on quantum blow-up formula and its applications in birational geometry, motivic measures, and singularity resolution.
Homological Mirror Symmetry for Higher Dimensional Pairs of Pants
Explore homological mirror symmetry for higher dimensional pairs-of-pants, examining the equivalence between wrapped Fukaya category and derived category of coherent sheaves on coordinate hyperplanes.