Invitation: Next lecture on K-theory

[Grothendieck School of Thoughts]

Greetings of the day,

Aren't you excited to know more about why there are many different constructions for K-theory for different categories and how they are related to each other? Or, say, if the first K-group K_0 can be defined in terms of group completion, then why can't the higher ones be? 

Well, the answer lies in the next lecture:

Series: K-Theory In Totality (Visit: https://gstmath.in/k-theory-in-totality/)

Part 2: Categorical K-Theory (Visit: https://gstmath.in/categorical-k-theory/)

Section 1: K-theory of Algebraic categories (Visit: https://gstmath.in/k-theory-of-algebraic-categories/)

Title: More on the K-theory of a symmetric monoidal category and Quillen's Theorems A and B

Time: 29th April, Saturday, 3 pm, IST

Speaker: Prof Sarang Shard Sane

This is an online only event, happening over Zoom. Kindly use the following details to join us: 

Join Zoom Meeting: https://zoom.us/j/92452498479?pwd=QUFXSU9hWkt1Nm9FYjBFQmV5RXhnZz09

Meeting ID: 924 5249 8479
Passcode: 703341

Abstract and poster for the lecture are attached below, feel free to share. In case you have missed the last lecture, which is the first one in this section, you can find watch it on our official youtube channel here: https://youtu.be/oIH2LNxEBls.

Best wishes,

Dipankar Maity

Grothendieck School of Thoughts 

[Grothendieck School of Thoughts]

Quillen theorem A and B give sufficient condition for two categories to be homotopy equivalent. The first one says: Functors with contractible fibers are homotopy equivalent, while the second one says: morphisms which pulls to homotopy equivalence of comma categories induce a long exact sequence of the associated categories. These are important results in the homotopy theory of categories and have a wide range of applications including K-theory. 

So don't miss today's lecture at 3 PM IST.

Join Zoom Meeting: https://zoom.us/j/92452498479?pwd=QUFXSU9hWkt1Nm9FYjBFQmV5RXhnZz09

Meeting ID: 924 5249 8479
Passcode: 703341

Best Wishes,

Dipankar