Next lecture on Algebraic K - theory

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Grothendieck School of Thoughts

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Apr 13, 2023, 2:31:58 PM4/13/23
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Dear Math enthusiast,

The next lecture on Algebraic K-theory is scheduled for 15th March. Visit https://gstmath.in/higher-algebraic-k-theory-of-rings/ for more information.

In this lecture we will discuss some properties of higher K-theory of rings.

This section on the Higher K-theory of Rings is independent of the first section. People who were NOT following the first section are encouraged to participate in this one. 

This is an online-only event; please use the following details to join. 

Series: K-Theory In Totality
Part 1 - Algebraic K-Theory
Section 2: Higher K-theory of Rings
Title: Results on Higher K-theory of Rings
Time: 15th April, Saturday, 3 pm, IST
Speaker: Prof Girja Shanker Tripathi

Venue: Only on Zoom.

Join us here - https://zoom.us/j/97894337530?pwd=SWt4TWpOWHBXcktOdi9BcmF0a0V4dz09


Meeting ID: 978 9433 7530

Passcode: 891689


The last lecture of the previous section has been uploaded to our Youtube channel. Click here to watch the lecture.


Best wishes,
Tanuj Mathur
Grothendieck School of Thoughts
Abstract_Results_on_Higher_K_theory_of_rings.pdf
Poster_Results_on_Higher_Algebraic_K_theory_of_rings.pdf

Grothendieck School of Thoughts

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Apr 15, 2023, 3:21:56 AM4/15/23
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This is a gentle reminder for today's lecture at 3 PM IST. The speaker will continue from the earlier talks and discuss some general results on higher algebraic K-theory of rings, namely, the Additivity, Devissage, and Localization theorems and their applications. This is a great opportunity to learn more about these fascinating topics and to interact with the speaker and other participants.

These are fundamental results in algebraic K-theory that help to reduce algebraic K-theory to something more computable. These theorems relate the algebraic K-theory of two similar categories where one is a little more computable than the other and the theorem tells us that either they have homotopy equivalent algebraic K-theory or at least we can understand the fiber.
For example, the Additivity theorem reveals that algebraic K-theory splits exact sequences. In fact, algebraic K-theory can be seen as the universal functor that splits exact sequences. 

This is a great opportunity to learn more about these fascinating topics and to interact with the speaker and other participants, and I highly recommend you to attend this session.

Regards,
Dipankar Maity
Grothendieck School of Thoughts

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