Invitation: K-theory of Exact Categories

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Grothendieck School of Thoughts

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Jun 1, 2023, 2:30:43 PM6/1/23
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Dear all,

We are delighted to invite you to the first lecture on the K-theory of Exact categories (Visit: https://gstmath.in/k-theory-of-exact-categories/ for more info) by Prof. Vivek Sadhu, a renowned expert in this field who has made many important contributions to the subject. The lecture will take place this Saturday as usual.

Title: Lower K-theory of Exact categories
Time: 3rd June, Saturday, 3 pm, IST
Speaker: Prof. Vivek Sadhu

An exact category is an extension closed additive sub category of an abelian category. Though abelian categories are very useful, there are many situations when an algebraic category in hand is not exactly abelian but can nicely be embedded into a larger abelian category, resulting in an exact category. These categories are evidently rich with homological data, which are formally studied by their Quillen K-theory. 

Observably enough, the K-theory of exact categories is highly important for studying any kind of algebraic K-theory! So, you are strongly encouraged to join us for this lecture which was postponed due to unforeseen circumstances a few weeks ago. We hope that you will enjoy this exciting opportunity to learn from Prof. Sadhu and to interact with him.

Join Zoom Meeting
https://zoom.us/j/91625997186?pwd=YzQrSVJrRHByckpvNHlaSFRHZ084Zz09

Meeting ID: 916 2599 7186
Passcode: 734593

Best Wishes,
Dipankar Maity
Grothendieck School of thoughts

Abstract_Lower_K_theory_of_Exact_Categories.pdf
poster_Lower_K-theory_of_exact_categories.pdf

Grothendieck School of Thoughts

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Jun 2, 2023, 10:30:24 PM6/2/23
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The applications of the K-theory of Exact categories vary from algebraic geometry to representation theory. Some of the applications are as follows:

- Algebraic geometry: to study the K-theory of coherent sheaves on a scheme, which is an invariant of birational equivalence.
- Representation theory: to define the Euler characteristic of a virtual representation of a finite group
- Noncommutative geometry: to generalize the notion of topological K-theory to noncommutative spaces, such as C*-algebras and quantum groups.

So don't miss today's event (https://gstmath.in/k-theory-of-exact-categories/). Join us over Zoom at 3 PM IST to hear from Prof. Vivek Sadhu, a renowned expert in K-theory:
Regards,
Gstmath




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