Degenerations of polarized Hodge structures

Reading Seminar


  Further topics for the future ...


Thursdays 1-2 PM
(Tuesdays 3-4 PM*)

MATH 350


   
  Zheng, Jonathan, and Yano are leading a reading seminar roughly following Kato and Usui's Classifying spaces of degenerating polarized Hodge structures.
This is a continuation of last semester's seminar.

Schedule of talks:


 Yano
 Olsson's moduli of log smooth K3 surfaces

 Yano
 Olsson's moduli of log smooth K3 surfaces continued

 Yano
 Olsson's moduli of log smooth K3 surfaces and Kato--Usuii's degenerations of weight-2 Hodge structures
 
 Yano
 Classical degenerations of Hodge structures, continued: Mumford et al. toroidal compactifications of arithmetic quotients
 
 Yano
 Classical degenerations of Hodge structures, continued: Alexeev's compactification of the moduli of abelian varieties
 
 Yano
 Classical degenerations of Hodge structures, continued: Alexeev's compactification of the moduli of abelian varieties continued

 Jonathan
 Classical degenerations of Hodge structures, continued: Alexeev's compactification of the moduli of abelian varieties via Olsson's log structures

 Yano
 K-U Chapter 4, the main results.

 Yano
 K-U Chapter 4, the main results, continued.


 Log Pic and KU spaces


References:
  1. Kato and Usui's Classifying spaces of degenerating polarized Hodge structures.
  2. Peters and Steenbrink's Mixed Hodge structures.
  3. Griffiths et al. Topics in transcendental algebraic geometry.
  4. Kazuya Kato, Logarithmic structures of Fontaine--Illusie
  5. Dan Abramovich et al., Logarithmic geometry and moduli (arXiv)
  6. Danny Gillam, Log geometry
  7. Arthur Ogus, Lectures on logarithmic algebraic geometry
  8. Volker Pahnke, Uniformizing log-abelian varieties



This webpage is yet another example of a shameless (indirect) copying of a webpage of Pasha Belorousski's at the University of Michigan.