Grothendieck School of Thoughts
A signature of Modern Mathematics
Grothendieck School of Thoughts is a decentralized hybrid school based in India. With our futuristic vision toward ‘modern mathematics’ as introduced and nourished by Alexandre Grothendieck throughout his life time), we offer lecture series on several advanced topics in mathematics. The speakers in our school are Indian Mathematicians who are experts in the corresponding subjects. The courses are meant for cutting edge researchers, professors, postdocs and PhD students, though both BSc and MSc students can also attend once they have sufficient background knowledge as mentioned in the series webpage. We believe, modern mathematics should be adapted, and hence we try to make it accessible to everyone. The subject matter of the courses vary from Modern algebraic geometry to Advanced algebraic topology to Foundations of mathematics.
“Grothendieck was convinced that if one had a sufficiently unifying vision of Mathematics, if one could sufficiently penetrate its conceptual essence, then particular problems would be nothing but tests that no longer need to be solved for their own sake.”
—–P. Cartier
Live Courses
K-theory In Totality
The ‘K‘ in K-theory
“The way I first visualized a K-group was as a group of “classes of objects” of an abelian(or more generally, additive) category, such as coherent sheaves on an algebraic variety, or vector bundles, etc. I would presuma-bly have called this group C(X) (X being a variety or any other kind of space),C the initial letter of class, but my past in functional analysis may have prevented this, as C(X) designates also the space of continuous functions on X(when X is a topological space).Thus, I reverted to K instead of C, since my mother tongue is German, Class =Klasse(in German), and the sounds corresponding to C and K are the same.
What is being offered
There are four different fundamental branches of K-theory: Algebraic, Categorical, Topological and Operator K-theory; we are bringing all of them under one umbrella of the series. Hence this series is divided into 4 parts, one may join the particular part of the series, which one is interested in.
The series has started from from 4th March, 2023. We are now having lectures on a weekly basis, on every Saturday at
3 PM IST.
Past Courses
Motives in Algebraic Geometry
The motive in Motive
“In order to express this kinship of these different cohomological theories, I formulated the notion of “motive” associated to an algebraic variety. By this term I want to suggest that it is the “common motive” (or “common reason”) behind this multitude of cohomological invariants attached to an algebraic variety, or indeed, behind all cohomological invariants that are a priori possible.”
What we offered
There are many different notions of Motives, known till date: One introduced by Nori, one by Voevodsky, one by Deligne and many more; In this series we had 3 parts, Part 1: Nori Motives, Part 2: Voevodsky Motives, Part 3: Motivic Homotopy theory.
The series has been concluded on 25th February, 2023; Lecture materials are available in the web page.
What next?
Algebraic Stacks?
Dipankar Maity
Organizer
contact: acad@gstmath.in
Contact Us
Don’t hesitate to reach out with the contact information below, or send a message using the form if you have any query or message for us.
Grothendieck School of Thoughts (GST), India
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Write to us
- For academic queries: acad@gstmath.in
- For general queries: communication@gstmath.in
- For technical issues: tech@gstmath.in
- For event management: events@gstmath.in
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