Translation Surfaces and Dynamics on Moduli Spaces - Part 1
Explore translation surfaces and dynamics on moduli spaces in this advanced mathematical lecture. Delve into complex geometric concepts and their applications in surface dynamics.
Translation Surfaces and Dynamics on Moduli Spaces - Part 3
Explore advanced concepts in translation surfaces and dynamics on moduli spaces. Delve into complex mathematical theories presented by Ferrán Valdez in this comprehensive lecture.
On the Spectral Gap of the Laplacian for Random Hyperbolic Surfaces
Explorez le comportement spectral du laplacien sur des surfaces hyperboliques aléatoires, en mettant l'accent sur l'écart spectral dans la limite des grands genres.
Topological Recursion and Quantum Curves
Explore quantisation of moduli spaces through topological recursion and quantum curves with expert B. Eynard from IPHT CEA Saclay.
Symplectic Geometry of the Teichmueller Space of Hyperbolic 0-Metric
Explore symplectic geometry of Teichmueller space for hyperbolic 0-metric, delving into quantisation of moduli spaces from various perspectives.
Topological Recursion, Resurgence and BPS Structure
Explore quantisation of moduli spaces through topological recursion, resurgence, and BPS structure with K. Iwaki from the University of Tokyo.
Reducible Topological Recursion - Lecture 2
Explore advanced concepts in reducible topological recursion, building on previous knowledge and delving into complex mathematical theories and applications.
Moduli Space of Curves and Its Intersection Theory - Lecture 2
Explore advanced concepts in algebraic geometry, focusing on moduli spaces of curves and their intersection theory in this in-depth lecture.
Reducible Topological Recursion - Lecture 1
Explore reducible topological recursion with Reinier Kramer, delving into advanced mathematical concepts and their applications in this comprehensive lecture.
Super Topological Recursion - Lecture 1
Explore super topological recursion with Kento Osuga in this comprehensive lecture, delving into advanced mathematical concepts and their applications.
Moduli Space of Curves and Its Intersection Theory - Lecture 1
Explore the moduli space of curves and its intersection theory in this advanced mathematical lecture by Nitin Kumar Chidambaram.
Number Theory over Function Fields - Lecture 6
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 5
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 4
Explore recent progress in number theory using polynomial analogues over finite fields, connecting geometric perspectives to topology, probability, and automorphic forms.
Number Theory over Function Fields - Lecture 3
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 2
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Number Theory over Function Fields - Lecture 1
Explore recent progress in number theory using polynomial analogues over finite fields, connecting to topology, probability, and geometric Langlands theory.
Ghost Polygons, Poisson Bracket and Convexity in Anosov Representations
Explore Anosov representations, length functions, and Poisson brackets in moduli spaces. Discover combinatorial techniques and their applications to convexity in character varieties.
Heegaard Branes and Exact Results for Non-perturbative Complex Chern-Simons Theory
Explore Heegaard branes in moduli spaces of Higgs bundles and their applications in mathematics, from geometric Langlands to low-dimensional topology and complex Chern-Simons theory.
Spectral Gap of the Laplacian for Random Hyperbolic Surfaces - Part 2
Explore spectral gap of Laplacian for random hyperbolic surfaces using trace method and asymptotic expansions in large genus limit. Analyze Weil-Petersson measure and Friedman-Ramanujan property.
Enumerative Geometry Through Sheaves
Explore enumerative geometry, sheaf counting, and their applications in algebraic geometry. Discover new approaches to generalized Donaldson-Thomas invariants on Calabi-Yau threefolds.