Organizers: Jianxun Hu (Sun Yat-sen University) Changzheng Li (Sun Yat-sen University) Leonardo C. Mihalcea (Virginia Tech)
About the conference:
Schubert Calculus grew from attempts to answer rigorously classical questions in enumerative geometry, such as how many lines in the 3- space intersect 4 random (given) lines. The answer to this and more general problems can be reformulated as a calculation in an appropriate intersection ring, such as the cohomology or the K-theory ring, and it answers an instance of Hilbert's 15th problem. In the last two decades, ideas from physics led to the definition of the quantum versions of the cohomology and K-theory rings. Due to its roots in mathematics and physics, Schubert Calculus draws from and it has applications to many corners of mathematics (algebraic geometry, combinatorics, representation theory) and mathematical physics (integrable systems, mirror symmetry). There have been two large Schubert Calculus conferences in the last ten years: in Banff (Canada, 2007), and in Osaka (Japan, 2012). Our intent is to continue this tradition, and showcase the latest advances in the subject, as well as the emerging trends.