Toeholds Seminar

The Toeholds Seminar will meet every Thurstay at 12:00 noon at the Seminar Room (LN 2205). The main topic of the seminar is the construction of negative K-theory groups, using methods from bounded topology, and some of their applications.

• A quick introduction to algebraic K-theory (definitions of K₀ and K₁ and their basic properties).
  Text: J. Rosenberg, Algebraic K-theory and its applications. Graduate Texts in Mathematics, 147.
  
• A presentation of the Bass-Heller-Swan Formula (definition of the maps involved).
  Different Articles
• The definition of K_-i using categories with bounded control.
  Text E. K. Pedersen, K_-i-invariants of chain complexes. Topology (Leningrad, 1982), 174-186, Lecture Notes in Math., 1060, Springer, Berlin, 1984.
• The bounded h-cobordism theorem.
Text: E. K. Pedersen, On the bounded and thin h-cobordism theorem parameterized by R^k. Transformation groups, Poznań 1985, 306-320, Lecture Notes in Math., 1217, Springer, Berlin, 1986.
• Pseudoisotopy spaces.
Different Articles
• The connection between pseudoisotopy spaces and K_-i.
  Text: D. R. Anderson, W. C. Hsiang, The functors K_-i and pseudo-isotopies of polyhedra. Ann. of Math. (2) 105 (1977), no. 2, 201-223.