Localization theorem in the K-theory of Schemes

[Grothendieck School of Thoughts]

"The relevance for K-theory is that virtually all results about derived categories translate into results about higher algebraic K-groups. The link is provided by an abstract Localization Theorem due to Thomason and Waldhausen which – omitting hypothesis – says that a “short exact sequence of triangulated categories gives rise to a long exact sequence of algebraic K-groups”. " ----- Marco Schlichting (Higher algebraic K-theory). 

The importance of the localization theorem thus becomes evident, not only for K-theory but for any homology theory for that matter. After the excellent introduction to the K-theory of Schemes last week, we are thus happy to bring it under the light of localization theorem in the next lecture. Please find the details of the lecture below.

Title: Localization for G-theory and K-theory

Time: 15th July, 3 PM IST 

Speaker: Dr. Rahul Gupta

Section: K-theory of Schemes: An Introduction

Web Page: https://gstmath.in/k-theory-of-schemes-an-introduction/

This is an online only event; use the following details to join:
https://zoom.us/j/99423772257?pwd=MW54aHE4djJrakVXS1ZkejMvd2lBUT09

Meeting ID: 994 2377 2257
Passcode: 792076

If you have missed the first lecture in this section last week, you can watch a recorded version here: https://youtu.be/FWMLUla0hCI

Best wishes,

Grothendieck School of Thoughts

[Grothendieck School of Thoughts]

Join us today at 3 PM for the exciting event to understand how elegant the concept of localization is to K-theory and how it applies to the case of schemes.

https://zoom.us/j/99423772257?pwd=MW54aHE4djJrakVXS1ZkejMvd2lBUT09

Meeting ID: 994 2377 2257
Passcode: 792076

Web Page: https://gstmath.in/k-theory-of-schemes-an-introduction/

Regards,

GSTMath