Toric topology is an active area at the intersection of topology, algebraic geometry, differential topology, and combinatorics. Roughly speaking, a quasitoric manifold is a complex manifold equipped with a torus action whose orbit space is a simple convex polytope. This talk will introduce the basic ideas of toric topology and explore algebraic-topological aspects of these manifolds through examples, with emphasis on their cohomology rings and homotopy groups. I will also discuss open problems, particularly rigidity conjectures. Time permitting, I will briefly overview stable splittings of certain toric spaces related to quasitoric manifolds.
Author: ADMIN
The Topology Seminar at the Department of Mathematics of the University of Puerto Rico, Río Piedras—affectionately known by locals as la IUPI—was launched in the summer of 2026. The seminar was created through the initiative of Professors Iván Cardona Torres and Gabriel Montoya Vega to provide a dedicated space for the discussion of research in topology and to foster a vibrant culture of mathematical research within the department. While the seminar focuses on topology, it also explores the many ways in which topological methods and ideas influence research throughout mathematics. A bit of history: The seminar’s inaugural speaker was Professor…
Congratulations to Alec S. Zabel-Mena for his successful thesis defense. If the frame below does not scroll on your device click here.
Congratulations to Rodrigo A. León Prato for his successful Dissertation Defense. If the frame below does not scroll on your device click here.
The Algebraic Structures in Topology is a conference series that meets every two years in San Juan, Puerto Rico and this year is partially supported by the National Science Foundation, Purdue University, the Institute of the Mathematical Sciences of the Americas at the University of Miami and the K-Theory Foundation. The conferences will feature a variety of events focusing on recent developments in algebraic topology and their applications to geometry, physics, and data science. This iteration is an official satellite event of the International Congress of Mathematicians 2026 (July 23-30, 2026). This year’s iteration of the series will occur on…
Congratulations to Daniel Anglada Marrero for his successful thesis defense. If the frame below does not scroll on your device click here.
Congratulations to Desiré Vázquez Ortiz for her successful Thesis Defense. If the frame below does not scroll on your device click here.
Congratulations to Fernando E. Betancourt Vélez for his successful Dissertation Defense. If the frame below does not scroll on your device click here.
To go to the Journal click here: Closed formula for exponential sums of cubic k-cycles over Galois fields.