The video recordings of the talks are on youtube.
Here are talk notes (by the speakers):
Day 1:
0. Tutorial on infinity categories
1. Road Map
2. D-modules and quasi-coherent sheaves on prestacks
3. Singular Support I
Day 2:
1. Singular Support II
2. Factorization I (factorization algebras)
3. Spaces of Rational maps into the Flag Variety
Day 3:
1. Factorization II (factorization categories)
2. Hecke Action
Day 4:
1. The local-to-global principle
2. The Extended Whittaker Category
3. Kac-Moody representations
Day 5:
1. Langlands duality for local and global Whittaker series categories
2. Langlands duality for local and global principal series categories
3. Langlands duality for the extended Whittaker category: gluing
4. Localization of Kac-Moody representations
Day 6:
1. Opers
2. Fundamental diagram and the proof of the geometric Langlands conjecture