AbstractThe gut microbiota is vital for digestive health and immune function. However, current research tends to focus on individual microbial strains, missing the broader understanding of the entire ecosystem. Constructing microbial networks is key to understanding how these communities form, but existing methods have limitations, prompting the need for new approaches. By merging concepts from...
AbstractIn this talk, we will introduce a new method to carry out quantitative studies on the Grothendieck group of a derived Fukaya category. This fits into a bigger algebraic framework called triangulated persistence category (TPC). This category unites the persistence module structure (from topological data analysis) and the classical triangulated structure so that a meaningful measurement, ...
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