[Geom., Alg.&Phys.] An introduction to moduli spaces of vector bundles on an algebraic curve
ABSTRACT
Moduli spaces of vector bundles on an algebraic curve are fundamental objects in modern mathematics. They play important roles in many areas of mathematics, e.g., algebraic geometry, differential geometry, mathematical physics, number theory, topology to name a few. In this introductory talk, I will briefly review the history of the subject and discuss how the moduli spaces of vector bundles (and their variants) appear in several different fields of mathematics. (https://sites.google.com/view/gapkias)