Recently, Jeroen Hekking developed the derived blow-up theory of closed embedding of derived schemes, which generalize the theory of Rydh and Khan of the regular embeddings. We study Hekking's theory when two derived schemes are both quasi-smooth, and observe surprisingly great property in the birational geometry, enumerative geometry and derived category of coherent sheaves. We apply this theory to two nested quiver varieties, and prove that after blowing up the diagonal, they are isomorphic to a quadruple moduli space which Negut first found for the Jordan quiver.

20 Mar 2023
4:00pm - 5:00pm
Where
Room 3598 (Lifts 27/28)
Speakers/Performers
Dr. Yu ZHAO
IPMU, University of Tokyo, Japan
Organizer(S)
Department of Mathematics
Contact/Enquiries
Payment Details
Audience
Alumni, Faculty and staff, PG students, UG students
Language(s)
English
Other Events
10 Oct 2025
Seminar, Lecture, Talk
IAS / School of Science Joint Lecture - Use of Large Animal Models to Investigate Brain Diseases
Abstract Genetically modified animal models have been extensively used to investigate the pathogenesis of age-dependent neurodegenerative diseases, such as Alzheimer (AD), Parkinson (PD), Hunti...
14 Jul 2025
Seminar, Lecture, Talk
IAS / School of Science Joint Lecture - Boron Clusters
Abstract The study of carbon clusters led to the discoveries of fullerenes, carbon nanotubes, and graphene. Are there other elements that can form similar nanostructures? To answer this questio...