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

Speaker: 
Davesh Maulik
Speaker Affiliation: 
MIT
Speaker Link: 
https://math.mit.edu/directory/profile.html?pid=177

February 3, 2025

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Abstract: 

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.

For more information see: https://personal.math.ubc.ca/~jbryan/Zoominar-UBC-ETH/

Event Topic: 

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  • Seminars