Beyond Toric Geometry (17w5130)

The Casa Matemática Oaxaca (CMO) will host the "Beyond Toric Geometry" workshop from May 7th to May 12th, 2017.

Toric geometry is an exciting area of mathematics developed during the past half-century. Its objects of study are special varieties (solution sets of systems of polynomial equations) that possess additional structure stemming from the action of an algebraic torus. This additional structure makes toric geometry highly accessible via tools in combinatorics and discrete geometry. On the other hand, toric geometry plays an important role in many other areas of mathematics, for example, mirror symmetry and coding theory.

This workshop will focus on using tools and techniques from toric geometry to a larger class of varieties with a number of applications. It will bring together experts to share and discuss recent results using toric techniques, and to tackle new problems by pushing these techniques further.

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.