Positivity of cycles

August 1 to August 5, 2016

at the

American Institute of Mathematics, San Jose, California

organized by

Mihai Fulger and Brian Lehmann

Original Announcement

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

  1. the structure of effective cones of cycles
  2. the convex geometry of volume-type functions
  3. 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:

Positivity of the diagonal
by  Brian Lehmann and John Christian Ottem