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Há 5 dias · Abstract. In this work we study discrete analogues of an exact sequence of vector bundles introduced by M. Atiyah in 1957, associated to any smooth principal 𝐺 G italic_G -bundle : 𝜋 → 𝑄 𝑄 𝐺 \pi:Q\rightarrow Q/G italic_π : italic_Q → italic_Q / italic_G. In the original setting, the splittings of the exact ...
Há 5 dias · Abstract. For a semisimple complex algebraic group G we determine the ra-tional cohomology and the Hodge-Tate structure of the moduli stack BunG,X of principal G-bundles over a connected smooth complex projective variety X of special type using the homotopy theory of the underlying topological stack.
Há 5 dias · Algebraic Topology (Springer) by E. H. Spanier. Introduction to Commutative Algebra (Addison-Wesley) by M. Atiyah and I. G. Macdonald (for modules over rings, and in particular their tensor products) An introduction to homological algebra (Cambridge University Press) by C. A. Weibel (for category theory and homological algebra).
Há 5 dias · In this article, we introduce and develop the notion of parametrised Poincaré duality in the formalism of parametrised higher category theory by Martini-Wolf, in part generalising Cnossen's theory of twisted ambidexterity to the nonpresentable setting. We prove several basechange results, allowing us to move between different ...
Há 2 dias · Turing Award winners Geoffrey Hinton, Robin Milner Leslie Valiant, and mathematician Sir Michael Atiyah, Fields Medalist and Abel Prize laureate, are associated with the university. In the following table, the number following a person's name is the year they received the Nobel prize.
Há 1 dia · 1,133 likes, 6 comments - quantumaths on June 1, 2024: "Michael Atiyah proposed two problems for quantum field theorists. The first problem was to give a physical interpretation to Donaldson...". Quantumaths | Michael Atiyah proposed two problems for quantum field theorists.
Há 4 dias · 0. 15 views 1 minute ago. Atiyah Curmally, Principal Environment Specialist at IFC, explains how the AI-powered MALENA tool is used to simplify the extraction of meaningful ESG insights from...
- 4 min
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- International Finance Corporation
