The Scissors Congruence and K-theory Conference will take place at the University of Pennsylvania in Philadelphia, Monday July 14 to Thursday July 17, 2025. 

This conference will conclude the period of support of an NSF Focus Research Grant on scissors congruence and K-theory.  It has been preceded by the Summer School on Scissors Congruence and K-theory at Indiana University in Summer 2023 and the Collaborative Workshop on Scissors Congruence and K-theory at Vanderbilt in Summer of 2024. Scissors congruence K-theory has become an active field of study and we hope for this conference to give a picture of the state of the art before, during, and after the period of FRG support, showcasing new developments. 

The conference is designed so that there will be plenty of time in between talks for discussions and new collaborations.

The conference will consist of six featured talks and five collaborative follow-up talks by the junior members from the Vanderbilt collaborative workshop from 2024.

We hope to be able to  fund graduate student and junior researcher participants.  

Registration form    (The funding application closes March 7.)  

 Featured Talks 

• Cary Malkiewich, Binghamton University

• Jeremy Miller, Purdue University 

• Daniil Rudenko, University of Chicago

• Jenny Wilson, University of Michigan (to be confirmed)

• Jesse Wolfson, University of California, Irvine

• Inna Zakharevich, Cornell University

Collaborative Workshop Follow-up Talks

The following five collaborative groups participated in the Vanderbilt summer 2024 workshop  and are currently working on the resulting research projects. The conference will feature a talk about each project, given jointly by the junior participants.

• Spherical scissors congruence

Leaders: Inbar Klang and Cary Malkiewich. Members: Josefien Kuijper, David Mehrle, Thor Wittich

• Homological trace methods for Real topological Hochschild homology

Leaders: Teena Gerhardt and J. D. Quigley. Members: Myungsin Cho, Liam Keenan, Juan Moreno

• Witt vectors, bicategorical traces and K-theory

Leaders: Jonathan Campbell and Kate Ponto. Members: Sanjana Agarwal, Diego Manco, Zhonghui Sun

• Scissors congruence K-theory for equivariant manifolds

Leaders: Mona Merling and Julia Semikina. Members: Alba Sendón Blanco, Ming Ng, Lucas Williams

• Double Steinberg coinvariants

Leaders: Sander Kupers and Robin Sroka. Members: Tatiana Abdelnaim, David Chan, Matt Scalamandre