CORDIS Project
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This project explores the Dodziuk-Singer conjecture in geometric topology, utilizing tools from combinatorial commutative algebra and Hodge Theory to address challenges in understanding aspherical manifolds. It aims to connect various mathematical approaches and highlight relationships between combinatorics, geometry,…
We propose an approach to the Dodziuk-Singer conjecture, a central conjecture in geometric topology, specifically concerning the great challenge that understanding aspherical manifolds can pose, based on newly developed tools from combinatorial commutative algebra and combinatorial Hodge Theory, and discuss several intermediate problems along the way.
The main idea is based on a connection tocommutative algebra via the partition complex, an interpretation of local cohomology that allows for a tr…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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Denmark, Kobenhavn
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
THE HEBREW UNIVERSITY OF JERUSALEM
Israel, Jerusalem
Type: University / higher education
Activity type: Higher or Secondary Education Establishments
SME: No
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