Talks from K-stability and related topics Evolution of K-stability Chenyang Xu 6 January 2020 K-stability of Fano varieties Ivan Cheltsov 6 January 2020 Non-Archimedean aspects of K-stability Mattias Jonsson 7 January 2020 Construction of K-moduli spaces Harold Blum 7 January 2020 On some spacial Fano manifolds Carolina Araujo 8 January 2020 YTD conjecture and G-uniform stability Chi Li 8 January 2020 About arithmetic distance to divisors and concepts that surround K-stability Nathan Grieve 9 January 2020 A survey on normalized volume Yuchen Liu 9 January 2020 (Semi-)positivity of the CM bundle Zsolt Patakfalvi 10 January 2020 For questions and feedback email workshops@aimath.org.