Period images and Baily-Borel compactifications (Spring 2026)

Time and location

We meet on Monday, 12:45–1:45pm, in Physics P–130.

Schedule

Here is the tentative program for the seminar.

Date	Speaker	Title
Feb 2	Christian Schnell	o-minimality and the definable Chow theorem
Feb 9	Bradley Dirks	Definable analytic spaces and coherent sheaves I
Feb 16	Zhengze Xin	Definable analytic spaces and coherent sheaves II
Feb 23		(Snow day)
Mar 2	Christian Schnell	Definabilization and definable GAGA
Mar 9	Kuan-Wen Chen	Definable images
Mar 23	Ze Yun	Definability of period maps
Mar 30	Max Hofmann	Period images are quasi-projective
Apr 6	Sam Grushevsky	Overview of Baily-Borel compactifications
Apr 13	Yipeng Zhou	Hodge theory background
Apr 20	Matt Huynh	Quotient spaces
Apr 27	Ljudmila Kamenova	Semiampleness
May 4	Radu Laza	The Baily-Borel compactification
May 11	Dingchan Zhou	Birational geometry and Hodge theory of LC-trivial fibrations
May 18		b-semiampleness and applications

Some references

• Bakker, Brunebarbe, and Tsimerman, o-minimal GAGA and a conjecture of Griffiths
• Bakker, Filipazzi, Mauri, and Tsimerman, Baily-Borel compactifications of period images and the b-semiampleness conjecture
• Peterzil and Starchenko, Complex analytic geometry and analytic-geometric categories
• van den Dries, Tame topology and o-minimal structures
• Bakker, Hodge theory and o-minimality