Open Source Computation and Algebraic Surfaces (17w2677)


(American Mathematical Society)

Simon Brandhorst (Gottfried Wilhelm Leibniz Universität Hannover)

Anthony Várilly-Alvarado (Rice University)


The Banff International Research Station will host the "Open Source Computation and Algebraic Surfaces" workshop in Banff from September 29, 2017 to October 1, 2017.

The late twentieth century saw developments in the geometry of surfaces that laid the groundwork for the study of their number-theoretic properties in the past two decades. The past few years alone have witnessed exciting new approaches that combine theoretical insight with computer aided calculations, leading to new results on point-counting, dynamics, identifying lines, and the study of transformations, to name a few. The workshop aims to make openly available to the mathematical community implementations of the algorithms used in the above developments, and to do so in a user-friendly way. One goal is to open the field to new participants and give both experts and non-experts a reliable toolbox ready for use. To do this, we will emphasize the development of practical skills for computer experimentation, using the open-source SageMath framework. By forming small teams and discussing the general design and interface we hope to spark new cooperations and contacts among the participants.

The Banff International Research Station for Mathematical Innovation and Discovery (BIRS) is a collaborative Canada-US-Mexico venture that provides an environment for creative interaction as well as the exchange of ideas, knowledge, and methods within the Mathematical Sciences, with related disciplines and with industry. The research station is located at The Banff Centre in Alberta and is supported by Canada's Natural Science and Engineering Research Council (NSERC), the U.S. National Science Foundation (NSF), Alberta's Advanced Education and Technology, and Mexico's Consejo Nacional de Ciencia y Tecnología (CONACYT).