The Institute for Advanced Studies in Basic Sciences (IASBS) and the Institute for Research in Fundamental Sciences (IPM) are organizing a summer research school on "Applied Algebraic Geometry" from 17 to 29 August 2019.
New applications of Algebraic Geometry started in the past 30 years with the availability of software performing symbolic computations on polynomials, based on Groebner bases, allowing effective computations with ideals, varieties and vector bundles, often described by matrices with polynomial entries. Applications cover many different areas, such as Signal Processing, Phylogenetics, Computer Vision, Algebraic Statistics, and more. At the same time, a better understanding of classical concepts was possible with the availability of new sophisticated examples and the possibility to plan large numerical and symbolic experiments. The introduction of a metric in real algebraic geometry allows probabilistic computations with random tools, sometimes finding alternatives or new paths for exact results.
The school consists of three courses on different topics held by Giorgio Ottaviani, Antonio Lerario, and Ada Boralevi. These courses are followed by tutorial and research sessions led by the speakers. During the research sessions, the participants will work in groups on some proposed problems under supervision of the specialists.
For more information, see the school's website.
Developed by the IASBS Computer Center