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Explore mathematical supersymmetry, its origins, and applications in deriving trace formulas, including the Atiyah-Singer formula and new developments in Jacobi-Poisson and Selberg formulas.
Explore mathematical origins of supersymmetry, its application in deriving the Atiyah-Singer formula, and connections to classical trace formulas of Jacobi-Poisson and Selberg.
Explore high-degree rational cohomology of SL_n(Z) and SL_n(R) for number rings, focusing on Steinberg modules and associated simplicial complexes to understand special linear group cohomology.
Exploración de la positividad total en matrices y grupos de Lie, su generalización y aplicaciones en espacios de Teichmüller y geometrÃa hiperbólica no conmutativa.
Explores local-global principles for homogeneous spaces over function fields of curves, using patching methods and relating to formal and rigid geometry. Discusses applications to arithmetic function fields.
Explora la construcción de constantes estructurales del espejo para variedades log Calabi-Yau afines lisas mediante discos analÃticos no arquimedianos, generalizando trabajos previos y deduciendo propiedades clave.
Exploración de estructuras de Hodge mixtas no abelianas, su relación con la homotopÃa racional y el grupo fundamental, y su generalización a tipos de homotopÃa esquemáticos y estructuras parabólicas.
Explore bounds for étale cohomology group dimensions compatible with six functors formalism. Learn how complexity of sheaves is controlled when applying various operations in algebraic geometry.
Exploración de un enfoque universal para contar curvas en variedades de Calabi-Yau tridimensionales, utilizando el formalismo de clústeres para cálculos no triviales y simplificación de conjeturas enumerativas.
Explora cómo determinar la representación de Weil de curvas superelÃpticas a partir de su reducción estable, con aplicaciones a representaciones de Galois locales en caracterÃstica positiva.
Explore non-free curves on varieties, their classification, and implications for Geometric Manin's Conjecture in Fano fibrations. Gain insights into algebraic geometry and number theory.
Explore a finiteness theorem for Gromov-hyperbolic groups, delving into concepts of entropy, torsion-free groups, and δ-hyperbolicity in this advanced mathematics colloquium.
Explore non-Archimedean pluripotential theory and K-stability in this advanced mathematics lecture, part of a series connecting complex and non-Archimedean geometry.
Explore combinatorial approaches to fluid dynamics, featuring insights from Dennis Sullivan and Ruth Lawrence-Naimark on geometry and analysis of fluid flows.
Explore Voigt Boussinesq equations, their relation to fluid mechanics, and global regularity results. Delve into local existence, uniqueness, and approximation in incompressible fluids equations.
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