Transversal, Helly and Tverberg type Theorems in Geometry, Combinatorics and Topology III (16w5064)


Luis Montejano (UNAM)

Imre Bárány (Alfred Renyi Institute of Mathematics)


(Renyi Institute of Mathematics)

(ETH Zurich)


The Casa Matemática Oaxaca (CMO) will host the "Transversal, Helly and Tverberg type Theorems in Geometry, Combinatorics and Topology III." workshop from October 23rd to October 28th, 2016.

One of the most celebrated results in discrete geometry is due to Eduard Helly (1913).
Helly's Theorem, gives the conditions for the members of a family of convex sets
(sets with convex boundary and without holes) to have a common point.
This theorem has generated, literally, hundred of research papers and has
given rise to numerous generalizations, variants and important applications, not
only in other areas of mathematics, but in other sciences as well, such as biology
and social sciences.

The proposed workshop will assemble the key people working in this area, in order
to explore recent progress and to help focus on future directions of research in
geometric transversal, and some others generalizations of Helly´s theory.

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.