# Nilpotent Fundamental Groups (17w5112)

## Organizers

(University of Oxford)

(Western University)

(University of Pennsylvania)

(Georgia Institute of Technology)

## Description

The Banff International Research Station will host the "Nilpotent Fundamental Groups" workshop from June 18th to June 23rd, 2017.

Algebraic Geometry studies solutions to systems of polynomial equations using algebraic and geometric methods, and Galois theory studies the symmetries of such solutions. In general, studying the full collection of such symmetries is extremely difficult. By passing to so-called nilpotent quotients, one linearizes’’ the set of symmetries to make it much more tractable from a computational point of view. This workshop will bring together mathematicians who study arithmetic and geometry by working with these linearized forms of symmetries.

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).