Applications are closed
for this workshop

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

This workshop, sponsored by AIM and the NSF, 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

The workshop will differ from typical conferences in some regards. Participants will be invited to suggest open problems and questions before the workshop begins, and these will be posted on the workshop website. These include specific problems on which there is hope of making some progress during the workshop, as well as more ambitious problems which may influence the future activity of the field. Lectures at the workshop will be focused on familiarizing the participants with the background material leading up to specific problems, and the schedule will include discussion and parallel working sessions.

The deadline to apply for support to participate in this workshop has passed.

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