Seminar series on Fano varieties, singularities, and related topics

Speaker:
Organizer:Caucher Birkar, Bingyi Chen
Time:Every Thursday, 7 March - 23 May, 2024
Venue:Zoom

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, 1:30pm

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.