Time: Friday 1:45 – 3:00pm.
Place: 307 Math Building.
Book: Voisin, Chow rings, decomposition of
the diagonal, and the topology of families: link.
Organizers: Nathan Chen and Yoonjoo Kim.
Scheduled talks:
Date  Speaker  Section  Topic  Note 
Jan 26  Nathan Chen  1 
Introduction  pdf 
Feb 2 
YoonJoo Kim  2.1.1 – 2.1.3 
Chow groups and their functoriality 
pdf 
Feb 9  Simon Felten  2.1.3.1 – 2.1.4 
Motives, cycle classes, and examples  pdf 
Feb 16  Nicolás Vilches Reyes  2.2.1 – 2.2.3 
Pure Hodge structures and standard conjectures  pdf 
Feb 23  Matthew HaseLiu  2.2.4 – 2.2.5 
Mixed Hodge structures  
Mar 1  Ivan Zelich  3.1 – 3.1.1 
General principle and Mumford's theorem  
Mar 8  TBA 
3.1 
Proof of Theorem 3.1 

Mar 15  (Spring break) 
 
 

Mar 22  TBA  3.1.2  Further applications (theorems of BlochSrinivas)  
Mar 29  TBA  3.2.1 – 3.2.2  Generalized decomposition of the diagonal (due to
Paranjape and Laterveer) and generalized Bloch conjecture 

Apr 5 
Morena Porzio 
3.2.3 
Nilpotence conjecture and Kimura's theorem 

Apr 12  KuanWen Chen  4.1 – 4.1.1  Hodge coniveau of hypersurfaces 