Seminar on Algebraic Topology

The purpose of this seminar is to familiarize students with a variety of essential research papers in algebraic topology. Participants are asked to read individual papers and present individual papers. Here is a more detailed syllabus in Japanese:

Text: Various papers and texts to be handed out in class.

Time and place: Thursday 4:30-6:00 pm. in Science Building A, room 440.

Schedule:

  • April 22: Geometric realization preserves finite limits after Drinfeld. (Saito)
  • May 6: Geometric realization of cyclic sets. (Saito)
  • May 13: The relative form of Gersten's conjecture over a discrete valuation ring: the smooth case -- after Gillet-Levine. (Sugiyama)
  • May 20: The relative form of Gersten's conjecture over a discrete valuation ring: the smooth case -- continued. (Sugiyama)
  • May 27: Symmetric spectra -- after Schwede. (Saito)
  • June 3: Categories of diagram spectra -- after Mandell-May-Shipley-Schwede. (Saito)
  • June 10: Model structures on diagram spectra. (Saito)
  • June 17: Logarithmic structures -- after Kato. (Sone)
  • July 1: Logarithmic structures -- continued. (Sone)
  • July 8: Whitehead torsion. (Hesselholt)
  • July 15: The Whitehead spectrum. (Hesselholt)
  • July 22: Vector bundles and their classification. (Saito)
  • October 21: Thom isomorphism. Cohomology of the projective bundle. (Saito)
  • October 28: Chern classes. (Saito)
  • November 4: No class. (Kaledin visit)
  • November 11: Antistructures. (Hesselholt)
  • November 18: Real symmetric spectra. (Hesselholt)
  • November 25: No class. (Conference)
  • December 2: RO(G)-graded homotopy groups. (Hesselholt)
  • December 9: Dihedral sets and their geoemetric realization. (Saito)
  • January 13: Subdivision of dihedral sets. (Saito)
  • January 20: No class. (Lecture series)
  • January 27: Tate-Beilinson conjecture for product of plane curves over finite fields. (Sugiyama)
  • February 24: The real algebraic K-theory spectrum. (Hesselholt)