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Splitting of Supervector Bundles on Projective Superspaces

Instituto de Matemática Pura e Aplicada via YouTube

Overview

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Explore the mathematical theory of supervector bundles and their splitting properties on projective superspaces in this 48-minute conference talk from the Geometry in Algebra, Algebra in Geometry workshop. Delve into advanced concepts at the intersection of algebraic geometry and supergeometry as the speaker presents research on how supervector bundles behave when restricted to projective superspaces. Learn about the fundamental principles governing the decomposition and splitting phenomena of these mathematical structures, which play crucial roles in modern algebraic geometry and theoretical physics. Gain insights into the technical methods used to analyze these geometric objects and understand their applications in broader mathematical contexts. The presentation forms part of the 8th edition of the GAAG workshop, bringing together researchers working at the interface between geometry and algebra to discuss recent contributions and explore new research directions.

Syllabus

GAAG (2025) - Charles Almeida (UFMG)

Taught by

Instituto de Matemática Pura e Aplicada

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