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March 18, 2020 15:30–16:30, Toric topology in old and new problems from various fields of mathematics. Distinguished Lecture Series: Victor Buchstaber. March 17-19, 2020, The Fields Institute
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Applications and generalisations: $(2n,k)$-manifolds, higher Massey products
V. M. Buchstaber Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
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Abstract:
The article of V. M. Buchstaber and N. Ray, “An invitation to toric topology: vertex four of a remarkable tetrahedron” (Toric topology, Contemp. Math., 460, AMS, Providence, RI, 2008, 1–27) presented toric topology, as part of equivariant algebraic topology, via its relationship with combinatorics, algebraic geometry and symplectic geometry. Over the past years, these ties have been deepened, long-standing problems have been solved, and new directions of the research have been opened. Developing the idea of a toric tetrahedron, we present a polyhedron containing new vertices: discrete geometry, hyperbolic geometry, combinatorial group theory, mathematical theory of fullerenes. We will demonstrate new facets of interaction between various areas of mathematics and toric topology.
Language: English
Website:
https://www.fields.utoronto.ca/activities/19-20/DLS-Victor-Buchstaber
Series of lectures
- Toric topology: definitions, constructions, results
V. M. Buchstaber,
March 17, 2020 15:30
- Applications and generalisations: $(2n,k)$-manifolds, higher Massey products
V. M. Buchstaber,
March 18, 2020 15:30
- New facets: constructions of polytopes, combinatorics of fullerenes, geometry of Lobachevsky space
V. M. Buchstaber,
March 19, 2020 15:30
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