by
DrCharanya Ravi(University of Regensburg, Germany)
→
Asia/Kolkata
Over Zoom
Over Zoom
Description
Abstract: 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.
