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=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. <br> <br>
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. <br> <br>
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: 07.01.25 - 10.01.25 and 13.01.25 - 17.01.25 <br>
Time: 16:00 - 18:30 CET /  09:00 - 11:30 CST <br>
Zoom access data: Will be sent out to registered participants via E-Mail. <br>
The specific time is chosen in way such that the workshop is hopefully accessible to many people from Europe and the Americans.



==Talks==
''Speakers:''
* <b> Pierre Albin </b>
* <b> Ulrich Bunke </b> 
* <b> Bastiaan Cnossen </b>
* <b> Alexander Engel </b>
* <b> Markus Land </b> 
* <b> Ralf Meyer </b>
* <b> Devarshi Mukherjee </b>
* <b> George Nadareishvili </b>
* <b> Shintaro Nishikawa </b> 
* <b> Ulrich Pennig </b> 
* <b> Rubén Martos </b> (to be confirmed)




==Schedule==

To be announced.

==Abstracts==

To be announced.


==Registration==

You can register via this [https://docs.google.com/forms/d/e/1FAIpQLSd3qsnXvGm6P8hwcsKq7QkOjwe60kVqg8BFl-w8WdxjkKKSKA/viewform Google form]. Here you can find 




==Organizers==
* [https://www.uni-regensburg.de/mathematik/mathematik-duenzinger/startseite/index.html Benjamin Dünzinger] (Regensburg)
* [https://yigalkamel.web.illinois.edu Yigal Kamel] (Illinois)
* <b> Fredrick Mooers </b> (Illinois)