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Noncommutative projective geometry first emerged as a distinct discipline during the late `80s and early `90s, as part of the work of Artin, Schelter, Stafford, Tate, Van den Bergh, Zhang, and others, who imported techniques from algebraic geometry to understand the Sklyanin algebras. From these beginnings, a general theory eventually emerged in which powerful techniques from classical algebraic geometry were modified to give insight into the class of noncommutative graded algebras. The subject has since grown rapidly and links with commutative algebra, algebraic geometry, representation theory, and other disciplines have become apparent. This workshop will give experts in these fields the opportunity to exchange ideas and will allow postdocs and graduate students to interact with established researchers and develop their research programs. 

The workshop will comprise two types of talks: expository and specialized. The expository talks consist of three 50 minutes introductory lectures:

• Matthew Ballard (University of South Carolina) on connections between geometric algebra and mirror symmetry
• Graham Leuschke (Syracuse University) on connections between noncommutative geometry and commutative algebra via noncommutative resolutions
• Toby Stafford (University of Manchester) on a general introduction to and survey of noncommutative algebraic geometry along with a review of open problems 

The remaining speaking slots will be distributed among both the junior and senior participants. In order to facilitate communication among the participants and to foster a sense of inclusion among the junior participants, we propose that on the first afternoon of the workshop postdocs who are not giving lectures and each graduate student give short presentations (roughly five minutes) on their research. All other talks will be 50 minutes in length.