Prairie Mathematics Colloquium: Martin Frankland

In topology, cohomology is an invariant we can assign to spaces. In algebra, there are also cohomology theories for various algebraic structures, such as group cohomology, Lie algebra cohomology, and André-Quillen cohomology of commutative rings. Quillen cohomology provides a cohomology theory for any algebraic structure. It has been studied notably for divided power algebras and restricted Lie algebras, both of which are instances of divided power algebras over an operad: the commutative and Lie operad respectively. I will describe recent work with Ioannis Dokas and Sacha Ikonicoff generalizing this to other operads. My main goal will be to introduce the three ingredients in the title.

This event is part of the Prairie Mathematics Colloquium.