Colloquium abstracts

Charanya Ravi
University of Regensburg, Germany
February 18, 2021

Algebraic K-theory of stacks:  In the study of moduli problems and equivariant geometry of schemes with group actions, one is naturally led to consider certain geometric spaces called algebraic stacks. We can understand these spaces by studying various cohomological invariants of these geometric objects such as algebraic K-theory. In this talk, we start by giving an introduction to the algebraic K-theory of stacks. After recalling some basic properties, we will explain Weibel's conjecture for stacks. This concerns the vanishing of certain negative K-groups and was proven in joint work with Tom Bachmann, Adeel Khan and Vladimir Sosnilo.