Newton-Okounkov Bodies, Test Configurations, and Diophantine Geometry (17w5046)


(Goethe Universität, Frankfurt)

(Queen's University)

(Pedagogical University of Cracow)


The Banff International Research Station will host the "Newton-Okounkov Bodies, Test Configurations, and Diophantine Geometry" workshop from February 5th to February 10th, 2017.

Algebraic geometry is the geometric study of solutions of sets of simple - polynomial - equations. Such spaces occur are abundant in nature and engineering, hence the applicability of modern algebraic geometry is vast, ranging from theoretical physics and differential equations to cryptography and error-correcting codes.

The aim of the proposed workshop is to bring together mathematicians from seemingly distant areas to study certain recently discovered connections between algebraic and differential geometry, convex bodies, and number theory.
The relation between the areas in question rests on exploring how certain functions vanish on interesting spaces, and gives us some hope to understand 'simple' points given by rational numbers these shapes.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides
an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disc
iplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineeri
ng 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).