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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 and review aspects of the deep interactions between algebraic K-theory and manifold topology. The workshop will focus on developments in the field, using a variety of homotopy-theoretic and geometric ideas and methods, especially from the perspective of Waldhausen’s algebraic K-theory of spaces and its diverse connections — both with the study of structured ring spectra and their invariants and with the study of automorphisms of manifolds.
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) Recording
Poincaré complex diagonals and the Bass trace conjecture (Lecture 2) Recording
- 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) Recording of talk 1, talk 2, talk 3
- 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 Recording
- Ramon Flores(Universidad de Sevilla): Bredon homology of Artin groups of dihedral type Recording
- Sadok Kallel(American University of Sharjah/University of Lille) : Combinatorial invariants of stratifiable spaces Recording
- 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 Recording
- Samuel Muñoz-Echániz(University of Cambridge): A Weiss-Williams result for spaces of embeddings and the homotopy type of spaces of long knots Recording
- Julia Semikina(Universität Münster): K-theory of manifolds and cobordisms (no recording available due to technical difficulties)
- Sarah Yeakel(University of California Riverside): Isovariant homotopy theory Recording
Videos
Recordings of the talks will become gradually available. Please consult the list of speakers and titles above for links to the respective videos.
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.
Registered Participants
- Alhajjar, Elie (USMA)
- Arone, Gregory (Stockholm University)
- Barata, Miguel (Universiteit Utrecht)
- Berlanga, Octavio (National Autonomous University of Mexico)
- Bilas, Ramyak (Indiana University)
- Biswas, Rudradip (Universität Bielefeld)
- Borisov, Dennis (University of Windsor)
- Bosek, Aleksander (University of Oxford)
- Bunke, Ulrich (Universität Regensburg)
- Chorny, Boris (University of Haifa)
- Davis, Jim (Indiana University)
- Dünzinger, Benjamin (Universität Regensburg)
- Fang, Yanbo (Toulouse University III)
- Fernandes, João (Karlsruhe Institute for Technology)
- Flores, Ramon (Universidad de Sevilla)
- Hilman, Kaif (MPIM Bonn)
- Huber, Andreas (Universität Augsburg)
- Jin, Hyeonhee (MPIM Bonn)
- Kallel, Sadok (American University of Sharjah/University of Lille)
- Kirstein, Dominik (MPIM Bonn)
- Klein, John (Wayne State University)
- Krannich, Manuel (Karlsruhe Institute of Technology)
- Konovalov, Andrei (Universität Duisburg-Essen)
- Kremer, Christian (MPIM Bonn)
- Kunapuli, Sasidhar (UC Berkeley)
- Kundu, Bikramjit (Indian Statistical Institute, Bangalore Centre)
- Lehner, Georg (Freie Universität Berlin)
- Malkiewich, Cary (Binghamton University)
- Mann, Jonathan
- McGarry Furriol, Jan (Stockholm University)
- Mejia, Andres (University Of Pennsylvania)
- Merling, Mona (University of Pennsylvania)
- Moser, Lyne (Universität Regensburg)
- Muñoz-Echániz, Samuel (University of Cambridge)
- Mushunje, Leonard (Columbia University)
- Naef, Florian (Trinity College Dublin)
- Nickel, Jana (Universität Regensburg)
- Paliga, Jakub (Uniwersytet Warszawski)
- Raptis, George (Universität Regensburg)
- Sahin, Serdal (Yildiz Technical University)
- Semikina, Julia (Universität Münster)
- Sourdakos, Nikitas (Robert Bosch GMBH)
- Steimle, Wolfgang (Universität Augsburg)
- Stoll, Robin (Stockholm University)
- Taggart, Niall (Universiteit Utrecht)
- Tandon, Kartik (University of Pennsylvania)
- Varisco, Marco (University at Albany - State University of New York)
- Wang, Oliver (University of Chicago)
- Weiss, Michael (Universität Münster)
- Winges, Christoph (Universität Regensburg)
- Yeakel, Sarah (University of California Riverside)
- Zhouhang, Mao (Institut Mathematique d'Orsay)
Conference Picture
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 about Regensburg 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.)
