Algebraic K-theory of spaces

Algebraic K-theory of spaces

Aims and Description

A workshop on Algebraic K-theory of spaces and related topics will be held at the University of Regensburg, during July 24-28, 2023.

The goal of this workshop is to bring together researchers in the field, review aspects of the deep interactions between algebraic K-theory and manifold topology,
and discuss developments in the field, especially, from the perspective of the Waldhausen’s algebraic K-theory of spaces and its diverse connections, both with
the study of structured ring spectra and their invariants and of automorphisms of manifolds, using a variety of different homotopy-theoretic and geometric methods.

There will be lecture series by

• Gregory Arone (Stockholm University)   

• John Klein (Wayne State University)   

• Manuel Krannich (Karlsruhe Institute of Technology)   

• Cary Malkiewich (Binghamton University)   

• Mona Merling (University of Pennsylvania)   

• Wolfgang Steimle (University of Augsburg)   

• Marco Varisco (University at Albany, State University of New York)   

In addition to the lecture series, there will also be opportunities for researchers to give contributed talks.

Program

Invited Lecture Series

• Gregory Arone(Stockholm University):
  

     The rank filtration of topological and algebraic K-theory (3 lectures)   

• John Klein(Wayne State University):
  

     Bundle lifting problems and the algebraic K-theory of spaces (Lecture 1)

     Poincaré complex diagonals and the Bass trace conjecture (Lecture 2)   

• Manuel Krannich(Karlsruhe Institute of Technology):
  

     Diffeomorphism groups of discs (3 lectures)   

• Cary Malkiewich(Binghamton University) &   Mona Merling(University of Pennsylvania):
  

     Equivariant A-theory and equivariant h-cobordisms (3 lectures)   

• Wolfgang Steimle(University of Augsburg):
  

     The visible symmetric signature (2 lectures)   

• Marco Varisco(University at Albany, State University of New York):
  

     Assembly Maps and Isomorphism Conjectures (3 lectures)   

Contributed Talks

• Jim Davis(Indiana University): A remark on the fundamental theorem of algebraic K-theory
• Ramon Flores(Universidad de Sevilla): Bredon homology of Artin groups of dihedral type
• Sadok Kallel(American University of Sharjah/University of Lille) : Combinatorial invariants of stratifiable spaces
• Dominik Kirstein(Max Planck Institute Bonn): A twisted Bass-Heller-Swan decomposition for localising invariants
• Georg Lehner(Freie Universität Berlin): The passage from the integral to the rational group ring in algebraic K-theory
• Samuel Muñoz-Echániz(University of Cambridge): A Weiss-Williams result for spaces of embeddings and the homotopy type of spaces of long knots
• Julia Semikina(Universität Münster): K-theory of manifolds and cobordisms
• Sarah Yeakel(University of California Riverside): Isovariant homotopy theory

Schedule, Titles & Abstracts

Schedule

• All talks will take place in Lecture Hall H31.
• The registration and coffee breaks will be in Seminar Room M101.
• The dinner on Wednesday evening will be at Weltenburger am Dom.

	Monday	Tuesday	Wednesday	Thursday	Friday
09:00 - 10:00	Registration & Coffee		Klein
10:00 - 11:00	Arone	Arone	Steimle	Arone	Klein
11:00 - 11:30	Coffee
11:30 - 12:30	Malkiewich & Merling	Malkiewich & Merling	Flores / Kirstein	Malkiewich & Merling	Steimle
12:30 - 14:15	Lunch				END OF WORKSHOP
14:15 - 15:15	Varisco	Varisco	Free Afternoon	Varisco
15:15 - 15:45	Coffee		Free afternoon	Coffee
15:45 - 16:45	Krannich	Krannich	Free afternoon	Krannich
16:45 - 17:00	Coffee		Free afternoon	Coffee
17:00 - 18:00	Lehner / Semikina	Muñoz-Echániz / Yeakel	Free afternoon	Davis / Kallel
19:30-			Dinner at Weltenburger am Dom

Financial Support

Financial support for the conference has been provided by the SFB 1085: Higher Invariants.

Some limited funding is available for financial support to participants. Please indicate in your registration if you are applying for financial support.

The deadline for applying for financial support is April 15, 2023.

Registration

Please fill out the Registration Form.

Please also indicate in your registration whether you like to give a contributed short talk and whether you are applying for financial support. The deadline for contributed talks and for applying for financial support is April 15, 2023.

Registration will remain open until July 17, 2023.

Practical Information

• City of REGENSBURG: Regensburg is a Unesco World Heritage site that is famous for its well-preserved medieval city center and its beautiful Gothic cathedral.
  Further information can be found here.

• DIRECTIONS: One can reach the University of Regensburg by following the instructions here and see here for maps of the campus.

• INTERNET: Access to eduroam and BayernWLAN is available throughout the Mathematics Building.

• ACCOMMODATION: Regensburg is a tourist destination and we encourage guests to book their rooms as early as possible. Here is a list of hotels in the area:

• Hotel Muenchner Hof (In the city center, one must take a bus to the University.)
  

• Hotel Apollo (Near the University, but limited eating options nearby.)

• Hotel Kaiserhof am Dom (In the city center, one must take a bus to the University.)
  

• Hotel Jakob (In the city center, one must take a bus to the University.)
  

• Hotel Wiendl (Between the city center and the University.)
  

• Hotel Central (Between the city center and the University, one must take a bus to the University.)
  

Organizers

• George Raptis
• Christoph Winges