Authors: Baralić, Đorđe 
Affiliations: Mathematics 
Mathematical Institute of the Serbian Academy of Sciences and Arts 
Title: Toric manifolds and colorings of discrete structures
Related Publication(s): Book of abstracts
Conference: The 10th Slovenian Conference on Graph Theory, Minisymposia: Configurations, 18 - 24 June 2023, Kranjska Gora, Slovenia
Issue Date: 2023
Rank: M34
URL: https://sicgt.si/system/admin/files/files/000/000/005/original/book_of_abstracts.pdf
Abstract: 
Small covers and quasitoric manifolds are topological generalizations of smooth projective
toric varieties. Their topological features are determined by combinatorial polytopes that are
the orbit space of the corresponding actions of a real and a complex torus. Therefore, many
important problems in toric topology can be reduced to problems of generalized colourings of
discrete structures such as graphs and simplicial complexes. This talk presents some of them
and explains deep correlations among combinatorics, algebra and topology.

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