New trends from Classical Theorems in Geometry, Combinatorics, and Topology (23w5023)



(Renyi Institute of Mathematics)

(City University of New York)

Imre Bárány (Alfred Renyi Institute of Mathematics)


Group Photo

The Casa Matemática Oaxaca (CMO) will host the “New trends from Classical Theorems in Geometry, Combinatorics, and Topology” workshop in Oaxaca, from June 4 - 9, 2023.

Eduard Helly proved in 1913 one of the most celebrated results in geometry that gives conditions for the
members of a family of convex objects (with convex boundary and without holes) to have a common point.
Helly's theorem gives rise to numerous generalizations and variants, and is very close related with
the classical theorems of Radon, Caratheodory and Tverberg, which is the r-partite version of Radon's theorem.

All this theorems have a deep connection with many other areas in mathematics such as algebraic topology, discrete geometry, combinatorial geometry, and analysis and could be seen as a multidisciplinary area since it uses tools from, topology, geometry, computer sciences, probability etc. and, in resent years have been useful tool for applications to model problems in real life.

The proposed workshop will assemble the key people senior and students working in this area, in order to explore recent progress and to help focus on future directions of research.

The Casa Matemática Oaxaca (CMO) in Mexico, and the Banff International Research Station for Mathematical Innovation and Discovery (BIRS) in Banff, are collaborative Canada-US-Mexico ventures that provide an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station in Banff is supported by Canada’s Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta’s Advanced Education and Technology, and Mexico’s Consejo Nacional de Ciencia y Tecnología (CONACYT). The research station in Oaxaca is funded by CONACYT