Nick Sheridan and I organized a reading group at the Hodge institute on character varieties and mirror symmetry in Term 1, 2020/21. The notes can be found below.
Topics
22/9 Basics of character varieties (Speaker: Vivek Mistry, note)
29/9 Non-abelian Hodge correspondence (Speaker: Sebastian Schlegel Mejia, note)
6/10 Hyperkahler structure (Speaker: Pavel Safronov, note)
13/10 Hitchin fibration (Speaker: Sam Gunningham, note, note)
20/10 SYZ mirror symmetry (Speaker: Kai Hugtenburg, note)
27/10 Mirror symmetry for character varieties (Speaker: Naoki Koseki note)
3/11 4/11 (10am) Wall-crossing from Floer theory (Speaker: Nick Sheridan note)
10/11 Basics of cluster varieties (Speaker: Pieter Belmans note)
17/11 Character varieties as cluster varieties (Speaker: Ian Le note and remark)
24/11 Canonical bases from Floer theory (Speaker: Filip Zivanovic note)
1/12 GHKK mirror construction (Speaker: Cheuk Yu Mak note)
8/12 Mirror symmetry for cluster varieties (Speaker: Tom Sutherland note)