Applied and Computational Differential Geometry and Geometric PDEs (23w5015)


(University of Arizona)

(UC - Davis)

(Rutgers University)

Jacob Posacki (BIRS)

(ETH Zurich Institute for Theoretical Studies)

Haomin Zhou (Georgia Institute of Technology)


The Banff International Research Station will host the "Applied and Computational Differential Geometry and Geometric PDEs" workshop in Banff from July 30 to August 4, 2023.

This workshop will bring together mathematicians with expertise spanning the theoretical, numerical, discrete and computational geometry and partial differential equations (PDEs) and computer scientists with related interests to identify and discuss some of the most promising areas for advances in the understanding and application in geometric data analysis.

The explosion of digital data being produced today urgently calls for the creation of new mathematical and computational processing tools. The classical theory of differential geometry and PDEs have produced mathematical results of exceptional depth and beauty which have potential applications to geometric data analysis.  However, the process of translating these deep results from geometry and PDEs into algorithms and applying them to real world problems is still in its infancy. This important task asks for collaborations of pure and applied mathematicians and computer scientists to identify the key issues. The workshop will serve as a forum to facilitate the interactions among mathematicians and scientists working in applied areas, bearing fruit at the interface of mathematics, engineering, and computer science.

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).