Derived Categories and Motives of Moduli Spaces of Vector Bundles on Curves

Explore the intricate relationship between derived categories and motives of moduli spaces of vector bundles on curves in this 47-minute lecture by Kyoung-Seog Lee from the University of Miami. Delve into the historical context of these important invariants of algebraic varieties, invented by Grothendieck and his collaborators in the 1960s. Examine Orlov's 2005 conjecture on their close connection and the supporting evidence that has emerged since. Investigate the significance of moduli spaces of vector bundles on curves as compelling examples of algebraic varieties. Learn about the intensive research conducted in this field and gain insights from several joint works with I. Biswas, T. Gomez, H.-B. Moon, and M. S. Narasimhan. Enhance your understanding of these advanced mathematical concepts and their applications in algebraic geometry.