This award provides support to defray expenses of participants in the August 6-11, 2011 workshop on Dynamics to be held on the Pingree Park Campus of Colorado State University. The purpose of this international conference is to bring together researchers at the interface of topological and measurable dynamics, two distinct but closely related areas in dynamical systems. The aim of the workshop is to make progress on the disseminate results and initiate new lines of inquiry.

This workshop will provide an opportunity for advanced graduate students and young researchers to interact with more senior mathematicians, share ideas and present their results. The intimate and isolated nature of Pingree Park will provide opportunities for mentoring and advising as well as the fostering of new relationships and collaborations. All this will enhance the training of these young people and provide them will long term contacts and growth. Priority for funding will be given to graduate students, other young researchers and participants without other support as well as members of groups underrepresented in mathematics.

Project Report

Funds from NSF were used to host the 2011 Pingree Park Dynamical Systems Workshop. This workshop focused on dynamical systems and ergodic theory, a branch of mathematics that investigates the evolution of systems over time. This meeting had a particular focus on multi-dimensional systems, which have strong connections to theoreitcal physics. The workshop took place at the Pingree Park Campus of Colorado State University. Funds from the NSF were used to sponsor the visits of participants at the meeting - travel, meals & lodging. The Pingree Park Campus is a somewhat remote facility in the Rocky Mountains of Colorado which provides an ideal setting for working on abstract mathematical problems. This meeting brought together 30 mathematicians working in closely related fields to discuss new ideas in the subject. Even with evolving technologies, these kinds of meetings are still essential for making progress in a field because it brings a substantial number of people together for face-to-face communication. In this field of mathematics the goal is to work to solve abstract mathematical problems, i.e. to prove theorems. This meeting provided participants an opportunity to learn from others who can share their results and their perspectives on unsolved problems. The synergy of these alternate perspectives are typically a key ingredient to producing new results in mathematics. We were pleased to be able attract leaders in the field from around the world, several beginning scholars and members of underrepresented groups (e.g. 9 of the 30 participants were female). During this meeting, talks were scheduled throughout the afternoon and evenings. These talks gave researchers the opportunity to report on new results and for audience members to question the speaker about their techniques. Mornings were reserved for more open ended discussions, allowing researchers working on very closely related problems to exchange ideas and collaborate toward solving problems. Several collaborative groups were able to use the meeting as an opportunity to get together and advance their projects. Altogether this successful meeting which furthered the understanding of dynamical systems.

National Science Foundation (NSF)
Division of Mathematical Sciences (DMS)
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Bruce P. Palka
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University of Denver
United States
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