K3 surfaces
Notes from the learning seminars
Notes from the learning seminars
Reference: Huybrechts's book "Lectures on K3 surfaces"
Calendar: Semester 1, on Monday 3.00pm - 5.00pm in room J11
Evgeny Shinder presents Chapter 1
Evgeny Shinder presents Chapter 1
30 September 2019
Adel Bedina on Hodge structures (based on Chapter 3)
Adel Bedina on Hodge structures (based on Chapter 3)
7 October 2019
Anna's notes (PDF, 356KB)
George Moulantzikos and Evgeny present Chapter 2 (more on Hodge structures and basic geometry of K3 surfaces)
George Moulantzikos and Evgeny present Chapter 2 (more on Hodge structures and basic geometry of K3 surfaces)
14 October 2019
David Kern presents Chapter 5
David Kern presents Chapter 5
21 October 2019
David's typed notes (PDF, 221KB)
Cristina Manolache discusses period maps and Torelli's theorems
Cristina Manolache discusses period maps and Torelli's theorems
28 October 2019
Anna's notes (PDF, 7.2MB)
Giovanni Marchetti on the (global) Torelli theorem for K3s
Giovanni Marchetti on the (global) Torelli theorem for K3s
4 November 2019
Neb Pavic talks about Ample and Kaehler cones and Mukai vectors
Neb Pavic talks about Ample and Kaehler cones and Mukai vectors
11 November 2019
Neb's notes (PDF, 3.8MB)
Anna Barbieri discusses slope and Gieseker stability (ref. Chapters 9 and 10)
Anna Barbieri discusses slope and Gieseker stability (ref. Chapters 9 and 10)
18 November 2019
Anna's notes (PDF, 266KB)
Barbara Bolognese on Examples of HK manifolds as moduli spaces of sheaves over K3 surfaces
Barbara Bolognese on Examples of HK manifolds as moduli spaces of sheaves over K3 surfaces
22 November 2019
Barbara's first notes (PDF, 175KB) and second notes (PDF, 376KB).
Yirui Xiong talks about derived categories and functors, Fourier-Mukai transforms, and Deriver equivalences of K3 surfaces
Yirui Xiong talks about derived categories and functors, Fourier-Mukai transforms, and Deriver equivalences of K3 surfaces
6 December 2019 and 9 December 2019
Yirui's typed notes (PDF, 267KB)
Final seminar report
Final seminar report
Final report with some open questions (PDF, 93KB).