Mar 3 – 7, 2025
Kavli IPMU
Asia/Tokyo timezone

D-equivalence conjecture for varieties of K3^[n]-type

Mar 4, 2025, 2:00 PM
1h
Lecture Hall (Kavli IPMU)

Lecture Hall

Kavli IPMU

Speaker

Davesh Maulik (MIT)

Description

The D-equivalence conjecture of Bondal and Orlov predicts that birational Calabi-Yau varieties have equivalent derived categories of coherent sheaves. I will explain how to prove this conjecture for hyperkahler varieties of $K3^[n]$ type (i.e. those that are deformation equivalent to Hilbert schemes of K3 surfaces). This is joint work with Junliang Shen, Qizheng Yin, and Ruxuan Zhang.

Presentation materials

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