## Workshop Stable Homotopy Theory and Algebraic K-theory

### Bielefeld/Germany, February 22-24, 1999

The workshop will be held at the
Department of Mathematics
of the
University of Bielefeld .
It is hosted and funded by the
SFB 343 "Diskrete Strukturen in der Mathematik".
** Registration:** Formal registration is not required,
but the organizers appreciate an email note from those
who plan to attend, so that we get
an idea of how many participants to expect.

**Program:**

All talks will take place in Lecture Hall 6 (`Hörsaal 6') which is located at the west end of the main hall inside the university building.

** Monday, February 22:**

09:00 Welcome

09:05-10:05 S. Bauer (Bielefeld): Seiberg-Witten theory and stable homotopy

10:15-11:15 T. Pirashvili (Tbilisi): Higher order Hochschild homology

*Coffee break *

11:45-12:45 M. Ando (U. of Virginia/Johns Hopkins U.): Calculating E_$\infty$ maps out of Bott periodicity spectra and into complex-orientable spectra

*Lunch break*

14:30-15:30 W. Lück (Münster): Isomorphism Conjectures in K- and L-theory and computations for certain crystallographic groups

*Coffee break*

16:00-17:00 B. Dundas (Trondheim): Nerves of *n*-categories

** Tuesday, February 23:**

09:00-10:00 S. Betley (Warszawa): Twisted homology of symmetric groups

10:15-11:15 B. Shipley (Purdue U.): New models for rational equivariant stable homotopy

*Coffee break *

11:45-12:45 T. Goodwillie (Brown U.): On Voevodsky's h-topology

*Lunch break*

14:30-15:30 J. Rognes (Oslo): Two-primary algebraic K-theory of pointed spaces

*Coffee break*

16:00-17:00 J. Klein (Wayne State U.): The dualizing spectrum of a topological group

** Wednesday, February 24:**

09:00-10:00 R. McCarthy (Urbana-Champaign): Universal degree *n* versus universal *n*-excisive: a tale of two calculus towers and the analyticity that brought them together

10:15-11:15 M. Lydakis (Bielefeld): Topological Cyclic Homology and $\Gamma$-spaces

*Coffee break *

11:45-12:45 J. Greenlees (Sheffield): Equivariant connective K-theory and formal groups

*Lunch break*

14:30-15:30 J. Smith (Purdue U.): Periodic homotopy types

*Coffee break*

16:00-17:00 M. Mahowald (Northwestern U.): The topological modular forms spectrum associated to the subgroup $\Gamma_0(3)$ of $SL_2(Z)$

**Abstracts**

**Piano concert:** On Wednesday, Feb. 24 at 19:00, Bjørn Jahren will play pieces by Haydn, Chopin, Ravel, Ginastera and Johansen (cf. announcement). The concert takes place in the **Auditorium Maximum** of the university.

**Additional information:**

Accomodation

Essentials about Bielefeld and its university

Organizers:

Stefan Schwede
(schwede@mathematik.uni-bielefeld.de)

Rainer Vogt (rainer.vogt@mathematik.uni-osnabrueck.de)

29.10.1998 Last modified: 5.2.1999