
Explore connections between symplectic topology, stability conditions, and quadratic differentials in Fukaya categories and mapping class groups.

Explore rigidity and multiplicity of singularities in ample vector bundles, focusing on irreducible desingularization and multiplicity formulas for isolated singularities.

Explore boundary behavior of universal covering maps and their applications in mathematics, focusing on advanced topological concepts.

Explore the topology of horocyclic flow on geometrically infinite surfaces through an in-depth mathematical analysis. Gain insights into advanced concepts in surface dynamics and geometry.

Explore advanced topology concepts in horocyclic flow on geometrically infinite surfaces, building on previous parts of the series. Gain insights into complex mathematical theories and applications.

Explore machine learning in string theory landscape, covering Calabi-Yau manifolds, cohomology, and string phenomenology. Gain insights into complex geometries and their applications in theoretical physics.

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 dimer models on Riemann surfaces, height function convergence, and connections to compactified free fields. Gain insights into probabilistic methods and discrete complex analysis in statistical mechanics.

Exploration of critical weights for dimer models on isoradial graphs, extending Kenyon's results using theta functions on maximal Riemann surfaces, with applications to spectral theorems and Laplacians.

Explore connections between modular forms and string theory, delving into advanced mathematical concepts and their applications in theoretical physics.

Explore connections between modular forms and string theory, delving into advanced mathematical concepts and their applications in theoretical physics.

Explore the intricate connection between modular forms and string theory in this advanced physics lecture, delving into mathematical foundations and theoretical applications.

Explorez la théorie de Liouville, des axiomes de Segal aux blocs conformes, dans cette conférence approfondie sur la physique théorique et la géométrie conforme.

Explore quantum geometry of Fuchsian systems, delving into advanced mathematical concepts and their applications in theoretical physics.

Explore interdisciplinary connections between Riemann geometry, topology, and physics in this doctoral-level lecture by Renzo Ricca at Beijing Institute of Technology.

Delve into advanced symplectic geometry concepts, exploring Plumber's PROP structures, nodal Riemann surfaces, and their applications to cohomological field theories and curve counting methods.

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.

Explore asymptotic phenomena in random dimer coverings, focusing on Aztec diamonds and their connection to Riemann surface geometry.

Explore asymptotic phenomena in random dimer coverings, focusing on Aztec diamonds and their connection to Riemann surface geometry.