Distinguished Lecture Series: Victor Buchstaber

Mar 17 - 19, 2020 · Toronto, Canada

Victor Buchstaber is known for his work on algebraic topology, homotopy theory, and mathematical physics.

Toric topology in old and new problems from various fields of mathematics

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.


Tuesday, March 17th, 202015:30 to 16:30
Toric topology: definitions, constructions, results.

Wednesday, March 18th, 202015:30 to 16:30
Applications and generalisations: (2n,k)-manifolds, higher Massey products.

Thursday, March 19th, 202015:30 to 16:30
New facets: constructions of polytopes, combinatorics of fullerenes, geometry of Lobachevsky space.

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  • Fields Institute for Research in Mathematical Sciences

    The Fields Institute is a centre for mathematical activity – a hub that provides a supportive and stimulating environment for mathematics innovation and education. Our mission is simple: we seek to bring together mathematicians from across sectors and the globe to develop the mathematics that will shape our future.

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