Foundations of tropical schemes
April 10 to April 14, 2017
American Institute of Mathematics,
San Jose, California
and Steffen Marcus
This workshop will focus on the
continuing development of scheme-theoretic techniques in tropical
geometry and their applications to broad questions in tropical
geometry and algebraic geometry. Tropical scheme theory seeks to
generalize the standard constructions in scheme theory to semirings,
with the aim of providing algebraic and geometric foundations for
tropical geometry. The goals of this workshop are to develop a common
language and shared understanding of this developing theory and to
explore applications. The main aims are:
- Develop computational techniques for working with tropical schemes.
- Develop standard algebraic techniques for tropical schemes such as
primary decomposition, smoothness, free resolutions, and also
geometric constructions such as a tropical Hilbert scheme.
- Apply the ideas developed to problems in algebraic geometry.
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
A list of open problems.
Papers arising from the workshop: