Fall Semester 2026
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Sept 17 - Iván Cardona (University of Puerto Rico, Río Piedras)
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October 9 - José La Luz Concepción (UPR Bayamón)
Title: Introduction To Toric Topology
Date and Location: TBA
Abstract: Toric topology is a very active area that lies at the intersection of topology, algebraic geometry, differential topology, combinatorics, and several other fields. Roughly speaking, a quasitoric manifold is a complex manifold equipped with a torus action whose orbit space is a simple convex polytope. The aim of this talk is to introduce the basic ideas of toric topology and to explore some of the algebraic-topological aspects of these fascinating manifolds. Examples will be presented and then general statements about their cohomology rings and homotopy groups will be discussed. I will present some open problems in the field, in particular, the rigidity conjetures that have been the focus of intense research. Time permitting, I will give a brief overview of stable splitting of certain toric spaces that are related to quasitoric manifolds.
November - TBD
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December - TBD
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