School of Mathematics Colloquium
Algebraic K-theory of stacks
by Dr. Charanya Ravi (University of Regensburg, Germany)
Thursday, February 18, 2021
from
to
(Asia/Kolkata)
at Over Zoom
at 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. |