When:
Wednesday, May 21, 2025
3:00 PM - 4:00 PM CT
Where: Lunt Hall, 103, 2033 Sheridan Road, Evanston, IL 60208 map it
Audience: Faculty/Staff - Student - Post Docs/Docs - Graduate Students
Contact:
Yuchen Liu
(847) 491-5553
Group: Department of Mathematics: Algebraic Geometry Seminar
Category: Lectures & Meetings
Title: Homological mirror symmetry for K3 surfaces
Abstract: Joint work with Ailsa Keating (Cambridge). We prove the homological mirror symmetry conjecture of Kontsevich for K3 surfaces in the following form: The Fukaya category of a projective K3 surface is equivalent to the derived category of coherent sheaves on the mirror, which is a K3 surface of Picard rank 19 over the field of formal Laurent series. This builds on prior work of Seidel (who proved the theorem in the case of the quartic surface), Sheridan, Lekili--Ueda, and Ganatra--Pardon--Shende.