Interactions between C*-algebraic KK-theory and homotopy theory

Aim

Throughout the mid to late 20th century, K-theory has been an important tool in its various algebraic, topological, and analytic manifestations. Homotopy theory has long been a central language for studying algebraic and topological K-theory, in particular. Recently, there has been more work connecting the methods of homotopy theory and infinity categories to C*-algebraic K-theory as well, and the potential applications of this new perspective are still to be seen.

The aim of this 2-week online workshop will be to bring together researchers and students with backgrounds in either C*-algebraic KK-theory or homotopy theory to learn about the growing interactions between the two fields. The first week will consist of separate introductions to classical C*-algebraic KK-theory and infinity categories, which will be followed by a modern infinity categorical approach to C*-algebraic KK-theory. The second week will consist of research talks related to the interactions of these two fields.

There will be time during the second week for shorter contributed talks by early career mathematicians (PhD students and postdocs). We encourage those who are interested in speaking to submit a title and abstract in the registration form below by December 11, 2024.

Time

Dates: January 7 - January 10, 2025, and January 13 - January 17, 2025
Time: 16:00 - 18:30 CET / 09:00 - 11:30 CST
Zoom access data: Will be sent out to registered participants via E-Mail.
The specific time is chosen so that the workshop is hopefully accessible to people in various different time zones.

Talks

Speakers:

Pierre Albin
Ulrich Bunke
Bastiaan Cnossen
Marius Dadarlat
Eugenia Ellis
Alexander Engel
Markus Land
Rubén Martos (to be confirmed)
Ralf Meyer
Devarshi Mukherjee
George Nadareishvili
Shintaro Nishikawa
Ulrich Pennig

Schedule

To be announced.

Abstracts

To be announced.

Registration

You can register for the workshop and submit an abstract for a contributed talk via this Google form.

Organizers

Benjamin Dünzinger (Regensburg)
Yigal Kamel (Illinois)
Fredrick Mooers (Illinois)

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