Reading group on Satake-Baily-Borel and toroidal compactifications

The meeting time will be 1pm Friday, in SEO 427.

Schedule

• Jan 23 (Dane): Lie groups, arithmetic subgroups, locally symmetric spaces and Siegel sets - all the definitions(?).
• Jan 30 (Yanchao): Classification of Hermitian symmetric spaces.
    Reference(s): Laza and Zhang's notes, Wolf's, and Morris's book.
• Feb 6 (Anh): Satake-Baily-Borel compactifications - Rational boundary components + Satake topology.
• Feb 13 (Andre): Automorphic forms giving projective embedding.
• Feb 20 (Dane): All the examples.
    Reference(s): Lipnowski's notes, Borel & Ji's Compactifications of Symmetric and Locally Symmetric Spaces, Baily & Borel's Compactifications arithmetic quotients of bounded symmetric domains, and Lan's Shimura varieties by examples book.
• Feb 27 (Edward): Multivariable nilpotent orbit theorem.
    Reference(s): Schmid's paper, and Cattani's Mixed Hodge structures, compactifications and monodromy weight filtration.
• Mar 6 (Yanchao): Toric varieties/embeddings.
    Reference(s): Fulton's Introduction to toric varieties, and Kempf, Knudsen, Mumford & Saint-Donat's Toroidal embeddings I.
• Mar 13 (Hank): Toroidal compactifications - A_g.