Degenerations of polarized Hodge structures

Reading Seminar


  Fall 2018


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.

Schedule of talks:

 Thursday September 13
  Zheng, Jonathan, and Yano
  Organization and Jonathan's brief introduction to log structures
 Thursday September 20
  Zheng
 Review of pure Hodge structures, and Kato Usui's Chapter 1
 Thursday September 27
  Zheng  Review of pure Hodge structures, and Kato Usui's Chapter 1, continued: degenerations of Hodge structures
 Tuesday October 2
  Yu  A longer introduction to log structures
 Thursday October 4  Yu
  Intro to log structures continued
 Thursday October 11  Yu
  Log structures continued
 Thursday October 24
  Yano
  Log geometry and toric varieties
  Thursday November 1
  Sebastian
  Log smooth maps
 Thursday November 8  Sebastian
  Log smooth maps continued
 Thursday November 15
  Jonathan  Kato--Nakayama spaces
 Tuesday November 27
  Jonathan 
 K-U Chapter 2.1-2, Kato--Nakayama spaces continued
 Thursday December 6  Jonathan
  K-U Chapter 2.3-4, Local systems on Kato--Nakayama spaces, and polarized log Hodge structures
 Thursday December 13  Jonathan
  K-U Chapter 2.5, Nilpotent orbits and period maps

This seminar will continue in the spring.


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.