This is an online learning seminar series on Birkar's multiple work on Fano varieties, singularities, and related topics. The focus will be on main results, key ideas, applications, and open problems. The aim is to help researchers and students learn about this very exciting area of algebraic geometry and to stimulate further work. The seminar will be held online via Zoom.
Zoom Meeting ID: 262 865 5007
Passcode: YMSC
Recording: https://cloud.tsinghua.edu.cn/d/7d67fef3f26343b1be34/
Talk 1: 7 March, 4pm (all times are Beijing time)
Introduction to Fano varieties and singularities
Speaker: Caucher Birkar (Tsinghua)
Talk 2: 14 March, 4pm
Pairs, singularities, MMP, generalised pairs
Speaker: Junpeng Jiao (Tsinghua)
Talk 3: 21 March, 4pm
Complements: main results, applications, open problems [1]
Speaker: Caucher Birkar (Tsinghua)
Talk 4: 28 March, 2pm
Complements: sketch of proofs of main results of [1]
Speaker: Joaquin Moraga (UCLA)
Talk 5: 4 April, 4pm
BAB: main results, applications, open problems [1]
Speaker: Caucher Birkar (Tsinghua)
Talk 6: 11 April, 4pm
BAB: sketch of proofs of main results of [2]
Speaker: Jihao Liu (Northwestern)
Talk 7: 18 April, 4pm
Boundedness of Fano fibrations: main results and sketch of some proofs of [3]
Speaker: Chen Jiang (Fudan)
Talk 8: 25 April, 4pm
Singularities on Fano fibrations: main results, applications, open problems [4]
Speaker: Caucher Birkar (Tsinghua)
Talk 9: 2 May, 4pm
Toroidalisation of fibrations and toric models of toroidal fibrations (sections 3,4,5 of [4])
Speaker: Santai Qu (USTC)
Talk 10: 9 May, 4pm
Multiplicities along lc places (sections 7,8 of [4])
Speaker: Jia Jia (Tsinghua)
Talk 11: 16 May, 4pm
Proofs of main results of [4] (section 9 of [4])
Speaker: Bingyi Chen (Tsinghua)
Talk 12: 23 May, 4pm
Proofs of other results of [4] (sections 10,11 of [4])
Speaker: Zou Yu (Tsinghua)
References:
[1] C. Birkar, Anti-pluricanonical systems on Fano varieties.
[2] C. Birkar, Singularities of linear systems and boundedness of Fano varieties.
[3] C. Birkar, Boundedness of Fano type fibrations.
[4] C. Birkar, Singularities on Fano fibrations and beyond.
