«…we hope to illustrate the following “abstract nonsense” principle, which we learned from Yves Benoist :

“There are many more theories than fundamental objects in mathematics.”

A direct corollary of this principle is that behind many distinct interesting theories lie in fact the same fundamental objects. Of course, each theory sheds its own light on these objects, and combining the various perspectives is likely to be very fruitful…»

https://arxiv.org/abs/math/0611617

Непрерывное математическое образование

«…we hope to illustrate the following “abstract nonsense” principle, which we learned from Yves Benoist :

“There are many more theories than fundamental objects in mathematics.”

A direct corollary of this principle is that behind many distinct interesting theories lie in fact the same fundamental objects. Of course, each theory sheds its own light on these objects, and combining the various perspectives is likely to be very fruitful…»

https://arxiv.org/abs/math/0611617

arXiv.org

Lectures on Hall algebras

These are notes for a minicourse on Hall algebras given at the ICTP in Trieste in January 2006. After giving the definition and first properties of Hall algebras, we study in some details the...

hottg.com/cme_channel/4345

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