Spring 2024 Algebraic geometry learning seminar:
Decomposition of the diagonal

Time: Friday 1:45 – 3:00pm.
Place: 507 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
Yoon-Joo 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 Hase-Liu 2.2.4 – 2.2.5
Mixed Hodge structures pdf
Mar 1 - -
-
Mar 8 Ivan Zelich
3.1 – 3.1.1 General principle and Mumford's theorem
Mar 22 - - -
Mar 29 (Special AG seminar) - -
Apr 5 Lucy Yang 3.1.1 – 3.1.2 Further applications towards Bloch-Srinivas's theorems
Apr 12
Nicolás Vilches Reyes 3.2.1 – 3.2.2 Generalized decomposition of the diagonal and generalized Bloch conjecture pdf
Apr 19 Morena Porzio 3.2.3 Nilpotence conjecture and Kimura's theorem pdf
Apr 26 Kuan-Wen Chen 4.1 – 4.1.1 Hodge coniveau of hypersurfaces pdf