Applications of Computational Algebraic Geometry to Theoretical Physics

From SIAG-AG

The last few years have witnessed a rapid development in the fruitful cross-fertilization between computational algebraic geometry and various important problems in theoretical physics, especially in field theory and string theory.

These have ranged from identification of vacuum structure of quantum field theories and moduli spaces of instantons as algebraic varieties to the catalogue of Calabi- Yau manifolds embedded in toric varieties, from efficient calculation of cohomologies for stable vector bundles used in string compactifications to the enumeration of operators in field theories using Hilbert series, from quiver gauge theories to bipartite graphs on Riemann surfaces, etc.

This session intends to bring together experts from a diverse background, physicists and mathematicians alike, and attempts to generate new ideas and collaborations.