Reading seminar: Arithmetic of K3 surfaces

Between January and June 2021, I organised a reading seminar on K3 surfaces for interested students and staff of Utrecht University. On this page you can find the schedule and the notes of the seminar talks.

Especially in the first part of the seminar, we closely followed the book Lectures on K3 Surfaces by Daniel Huybrechts. This reference is denoted by DH below.

Schedule

• Wed 20 January 2021: Basic definitions and linear systems (DH Ch1 and 2) - Valentijn (notes)
• Wed 27 January 2021: Hodge structures (DH Ch3) - Dirk (notes)
• Wed 3 February 2021: Kuga-Satake construction and proof of Weil conjectures (DH Ch4) - Stefano (notes)
• Wed 10 February 2021: Moduli spaces of polarised K3 surfaces (DH Ch5) - Jack (notes)
• Wed 17 February 2021: Periods I (DH Ch6.1 - 6.3) - Stefano (notes)
• Wed 24 February 2021: Periods II (DH Ch6.4 - 6.5) - Carel (notes)
• Wed 3 March 2021: Torelli theorems (DH Ch7) - Sergej (notes)
• Wed 10 March 2021: Elliptic K3 surfaces (DH Ch11) - Mar (notes)
• Wed 17 March 2021: No seminar
• Wed 24 March 2021: Moduli spaces of sheaves on K3 surfaces I (DH Ch10) - Martijn (notes)
• Wed 31 March 2021: Moduli spaces of sheaves on K3 surfaces II (DH Ch10) - Martijn (notes)
• Wed 7 April 2021: No seminar
• Wed 14 April 2021: Derived categories and Fourier-Mukai transforms I (DH Ch16.1 - 16.2) - Dirk (notes)
• Wed 21 April 2021: No seminar
• Wed 28 April 2021: Derived categories and Fourier-Mukai transforms II (DH Ch16.2 - 16.3) - Sergej (notes)
• Wed 5 May April 2021: No seminar
• Wed 12 May 2021: Derived equivalences and rational points (DH16.4 and papers) - Valentijn (notes)
• Wed 19 May 2021: Ordinary K3 surfaces (papers) - Stefano (notes)
• Wed 26 May 2021: Supersingular K3 surfaces (papers) - Mar (notes)