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Groebner bases for operads
Groebner basis is a good basis of generating relations of an algebra.
Main condition is that corresponding monomial algebra
generated by leading monomials of relations generates the associate graded to the initial algebra.
There are effective algorithms to construct such a basis, (really useful with computers).
Moreover one can use this basis for different homological computations.
I will explain how one should define the corresponding theory for operads
where even the notion of monom is not well defined since one should work
with trees and coinvariants of the action of symmetric groups.
All required definitions will be given during the lecture.
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