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

• The P=W conjecture for GLn.
• P=W via H2.
• Perverse filtrations and Fourier transforms.
• P=W phenomena in algebraic and enumerative geometry.
• Two proofs of the P=W conjecture.

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

Scheduled talks:

Date	Speaker	Topic
Jan 24	Tommaso Botta	Overview of the P = W conjecture
Jan 31	Yoonjoo Kim	Mixed Hodge structures
Feb 7	Amal Mattoo	Perverse sheaves I (consturctible sheaves, perverse sheaves, and the six-functor formalism)
Feb 13*	James Hotchkiss	Character varieties and the curious hard Lefschetz theorem
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	Andrés Ibáñez Núñez	Higgs bundles II
Mar 21	(Spring recess)
Mar 28	Michael Thaddeus	Higgs bundles III
Apr 4	Michael Thaddeus	Higgs bundles IV
Apr 11	Hanlin Cai	Ngo's support theorem
Apr 18	Caleb Ji	Maulik-Shen's proof I (vanishing cycles)
Apr 25	Kuan-Wen Chen	Maulik-Shen's proof II (strong perversity of Chern classes)
May 2		Maulik-Shen's proof III (global Springer theory and the parabolic support theorem)
May 8*		Maulik-Shen-Yin's proof