Positivity of cycles
August 1 to August 5, 2016
American Institute of Mathematics,
San Jose, California
Mihai Fulger and Brian Lehmann
This workshop will be devoted to the theory of
positivity of cycles. One of the main themes of higher-dimensional algebraic
geometry over the last forty years is the close relationship between different
versions of positivity for divisors -- via asymptotic behavior of sections,
intersection theory, and volume-type functions. This workshop will discuss the
situation for cycles of arbitrary codimension. A coherent theory has only begun
to emerge over the past few years, suggesting that some of the beautiful theory
in codimension one may be extended to arbitrary subvarieties. This will be the
first research-level conference in the area, including many exciting open
questions and opportunities for applications to specific examples.
The main topics for the workshop are
- the structure of effective cones of cycles
- the convex geometry of volume-type functions
- positivity arising from vector bundles
Material from the workshop
A list of participants.
The workshop schedule.
A report on the workshop activities.
A list of open problems.
A collection of papers on the workshop topic.
Papers arising from the workshop: