YoVDO

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

Offered By: IMSA via YouTube

Tags

Derived Categories Courses Algebraic Geometry Courses Algebraic Variety Courses Moduli Space Courses Vector Bundles Courses

Course Description

Overview

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.

Syllabus

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


Taught by

IMSA

Related Courses

Rings And Modules
Indian Institute of Technology, Kharagpur via Swayam
Understanding and Measuring Singularities in Algebraic Geometry
Joint Mathematics Meetings via YouTube
The Tropical Limit of String Theory and Feynman Integrals
International Centre for Theoretical Sciences via YouTube
Peng Shan- On Geometrical Realization of Centers
International Mathematical Union via YouTube
Canonical Kaehler Metrics and Stability of Algebraic Varieties
International Mathematical Union via YouTube