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Explore geometric quantization on Kähler manifolds, examining compatible constructions of function quantization, Hilbert space structure, and Kähler structure dependence in symplectic manifolds.
Exploration of best Lipschitz maps between hyperbolic surfaces, infinity harmonic maps, and transverse measures. Discusses approximation methods, geodesic laminations, and connections to Teichmüller theory and geometric topology.
Explore mirror symmetry, Hitchin systems, and algebraic structures in representation theory. Discover connections between equivariant cohomology, Kirillov algebras, and affine Schubert varieties.
Explore generalized Hitchin systems with Bảo Châu Ngô, delving into new geometric structures and celebrating Hitchin's mathematical legacy in this insightful conference talk.
Explore parabolic Higgs bundles in geometric Langlands program, focusing on rank 2 local systems on genus 2 curves and associated rank 8 local systems on moduli stacks.
Explore spinor-valued Higgs bundles with Nigel Hitchin, examining their unique properties and implications for Riemann surface geometry. Gain insights into Dirac equations and vector bundle theory.
Explore Milnor Spheres through a category theory lens, examining recent findings and insights in this seminar on classical differential topology by Ludmil Katzarkov.
Explore polytopes of lattice path matroids, their connection to order polytopes, and compute refined volumes using h^*-vectors. Gain insights into advanced mathematical concepts and techniques.
Explore Hopf Brauer Severi varieties with Professor Ludmil Katzarkov, delving into advanced algebraic geometry concepts and their applications in mathematics.
Explore the equality of Rouquier and Krull dimensions for toric varieties, delving into homological mirror symmetry and a multi-graded version of Hilbert's syzygy theorem.
Explore fine-tuning in cosmology through Bayesian and maximum entropy frameworks. Examine probabilistic measurements, distribution families, and the learnability of fine-tuning concepts.
Explore exotic manifolds through spherical duality and torus links. Discover new perspectives on homotopy spheres, O(3)-actions, and connections to singularity theory and mirror symmetry.
Explore spherical T-duality and its connection to generalized log transform, with applications to generalized Hopf manifolds. Gain insights into advanced mathematical concepts and their interrelations.
Explore advanced mathematical concepts in topology, focusing on Higgs bundles and their role in understanding higher Teichmüller spaces for non-compact real Lie groups.
Explore functorial construction of Lagrangian Floer theory and its potential applications in symplectic geometry with renowned mathematician Kenji Fukaya from Stony Brook University.
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