WiSe 17/18: Forschungsmodul: Topologie
Holger Reich
Additional information / Pre-requisites
If you are interested in participating please write an email to
holger.reich@fu-berlin.de
and
evogt@zedat.fu-berlin.de
A first organizational meeting will take place in early october. You will be informed about details via email.
closeComments
In this seminar we want to study algebraic K-theory. To every ring R (or more generally to every exact category, or Waldhausen category, or stable infinity-category) one associates a space (or spectrum), whose homotopy groups are denoted K_i(R). While K_0(R) and K_1(R) have very simple and concrete algebraic descriptions, higher algebraic K-theory groups are more involved and usually very difficult to compute.
Whereas the first talks in the seminar may only need basic knowledge in algebra, we will later also use concepts from algebraic topology and in particular homotopy theory. The precise content of the seminar will be fixed only after we have a more precise idea about the participants.
If you are interested in participating please write an email to
holger.reich@fu-berlin.de
and
evogt@zedat.fu-berlin.de
A first organizational meeting will take place in early october. You will be informed about details via email.
closeSuggested reading
Introduction to algebraic K-theory, John Milnor
Princeton University Press 1971
Algebraic K-theory
Notes for Categories and Topology, Ib Madsen and Irakli Patchkoria
Lecture Notes, Copenhagen 2016
15 Class schedule
Regular appointments