Spring 2025 Algebraic geometry learning seminar:
The P = W conjecture

Time: Friday 1:45 – 3:00pm.
Place: 507 Math Building.
References:

Organizers: Tommaso Botta, Hanlin Cai, Andrés Ibáñez Núñez, and Yoonjoo Kim.

Scheduled talks:

Date Speaker Topic Note
Jan 24 Tommaso Botta
Overview of the P = W conjecture

Jan 31
Yoonjoo Kim
Mixed Hodge structures
pdf
Feb 7
Character varieties and the curious hard Lefschetz theorem

Feb 13* Amal Mattoo
Perverse sheaves I (consturctible sheaves, perverse sheaves, and the six-functor formalism)

Feb 21 Patrick Lei
Perverse sheaves II (the decomposition theorem, relative hard Lefschetz, etc.)
Feb 28 Sofia Wood
Higgs bundles I

Mar 7
?

Mar 14 Michael Thaddeus
Higgs bundles II
Mar 21 (Spring recess)

Mar 28 Hanlin Cai
Ngo's support theorem

Apr 4

Maulik-Shen's proof I (vanishing cycles)

Apr 11
Maulik-Shen's proof II (strong perversity of Chern classes)
Apr 18
Maulik-Shen's proof III (global Springer theory and the parabolic support theorem)
Apr 25
Maulik-Shen-Yin's proof I
May 2
Maulik-Shen-Yin's proof II
May 9
Maulik-Shen-Yin's proof III