Degenerations of polarized Hodge structures

Reading Seminar


  Spring 2019


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:

 Thursday January 17  Yano
  Review of last semester's content -- Variation of Hodge structure
 Thursday January 24  Yano
  Review of last semester's content -- Families of elliptic curves from the perspective of Hodge theory
 Tuesday January 29
  Yano
  Continuation of last lecture
 Thursday January 31
  Yano
 Review of last semester's content -- Polarized log Hodge structures
 Tuesday February 12
  Yano
  Continuation of last lecture
 Thursday February 14
  Yano
 Review of last semester's content -- Families of elliptic curves from the perspective of log Hodge structures
 Thursday February 28
  Zheng
  Classical degenerations of Hodge structures, continued: Clemens--Schmid exact sequence and degenerations of curves
 Thursday March 7
  Zheng
  Clemens--Schmid continued
 Thursday March 21
  Zheng
  Clemens--Schmid continud
 Tuesday April 9
  Jonathan
  Log Pic 1
Thursday April 12  Zheng
  Moduli of K3 surfaces via Hodge theory
 Tuesday April 23
  Zheng
  Moduli of K3 surfaces via Hodge theory continued -- Kulikov models
Thursday April 25
  Jonathan
 Kulikov models continued
 Thursday May 2
  Jonathan and Yano
  Kulikov models continued and Olsson's moduli of log smooth K3 surfaces

Some further topics we may continue with in the future.

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.