45 years of derived categories of rational homogeneous varieties

• 主讲人：Anton Fonarev (Steklov Mathematical Institute of RAS)
• 举办方： Beijing-Moscow Mathematics Colloquium
• 时间： 2023-02-24 17:00 - 2023-02-24 18:00
• 地点： online

Recording: https://disk.pku.edu.cn:443/link/ECECDE7A00BF43BF844D2C0D0FA302EB
Valid Until: 2027-03-31 23:59

 

Abstract: In 1978, Beilinson published a celebrated paper in which he showed that the bounded derived category of a projective space admits a full exceptional collection. Since then mathematicians have been trying to prove that the same holds for all rational homogeneous varieties. We will give a gentle introduction to this problem and give an overview of the progress that has been made.

 

Bio: Anton Fonarev is a Senior Scientific Researcher in the Department of Algebraic Geometry of Steklov Mathematical Institute of RAS. He graduated from the Faculty of Mechanics and Mathematics of Lomonosov Moscow State University in 2011 and obtained his PhD at Steklov Mathematical Institute in 2014. Then he was a scientific researcher in the Laboratory of Algebraic Geometry and in the Laboratory of Mirror Symmetry and Automorphic Forms of Higher School of Economics in Moscow. His research interests include algebraic geometry and homological algebra.