Next lecture on the K-theory on 8th July

[Grothendieck School of Thoughts]

Dear all,

I am delighted to invite you to the first lecture on the K-theory of schemes, which will take place on Saturday, July 8th, at 3 PM IST. This is a lecture on this series after a long break, so I hope you are all eager to learn more about this fascinating topic.

The K-theory of schemes is a branch of algebraic geometry that studies algebraic vector bundles and their invariants. It has many applications to number theory, representation theory, and homotopy theory. In this lecture, we will review some basic definitions and examples of K-theory, and introduce some important tools such as the Chern character and the Riemann-Roch theorem.

The lecture is open to anyone who is interested, but some background in algebraic geometry and homological algebra is recommended. One is also supposed to have some basic understanding of the K-theory of exact categories as covered already in our series (https://gstmath.in/k-theory-of-quillen-exact-categories/).

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

Time: 8th July, 3 PM IST 

Speaker: Dr. Rahul Gupta

Title: K-theory and G-theory of Schemes

Section: K-theory of Schemes: An Introduction

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

Best Wishes,

Dipankar Maity

Grothendieck School of Thoughts

[Grothendieck School of Thoughts]

A gentle reminder for the lecture today at 3 PM IST. 

K-theory of schemes is a subject that has many interesting applications:

The Grothendieck-Riemann-Roch theorem, which relates the Chern classes of coherent sheaves on a smooth projective scheme to their Euler characteristics.

The computation of the Chow groups and motives of certain varieties, such as projective bundles, Brauer-Severi varieties and quadrics, using the higher K-groups.

The study of central simple algebras and their invariants, such as the Brauer group, using the K2-group. And so on.

So, if you are intrigued by the intricate connections between algebraic geometry, commutative algebra, and topology, the study of the K-theory of schemes offers a captivating journey. Unveiling the hidden structures within schemes through K-theoretic techniques provides profound insights into the geometric world.

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

Best Wishes,

Grothendieck School of Thoughts