Algebraic Geometry Workshop, June 12-15, 2002, Urbana, Illinois

University Of Illinois At Urbana-Champaign, Urbana IL

Investigators

Abstract

A four day workshop in Algebraic Geometry is planned, focusing on the training of graduate students and junior faculty. The format will emphasize participants working together in small groups led by mentors. The workshop is designed to engage students and junior faculty in related areas of algebraic geometry focusing on stacks and perhaps including computational algebraic geometry. The working groups will organize around problems and topics within these subfields. Senior faculty will give plenary lectures to set the general direction. The expected composition of the workshop is approximately 60 graduate students, 15 junior faculty, and 8 senior faculty. Algebraic geometry is the study of the relationship between algebraic properties of polynomial equations and the geometry of their solution sets. During the past century, algebraic geometry has been applied repeatedly to a wide range of areas of study in pure algebra and pure geometry. More recently applications have emerged in theoretical physics, cryptography, and engineering. The workshop is designed to complement other forms of training received by junior algebraic geometers, providing them the experience of actively doing research with their peers and mentors.