Barcelona Algebraic Topology Group
Friday's Topology Seminar 201819 



Written by Natàlia Castellana Vila

Friday, 30 November 2018 14:12 
Speaker: Letterio Gatto (Politecnico di Torino) Title: HasseSchmidt Derivations on Exterior Algebras and how to use them Place: Room Seminar C3b Date: Friday January 18, 12h13h
Abstract: In the year 1937, Hasse & Schmidt introduced the socalled higher derivations in Commutative Algebra, to generalize the notion of Taylor polynomial to positive characteristic. Exactly the same definition can be phrased in the context of exterior algebras, by replacing the ordinary associative commutative multiplication by the wedge product. HasseSchmidt derivations on exterior algebras embody a surprisingly rich theory that candidates itself to propose a unified framework for a number of theories otherwise considered distincts, such as, e.g., (quantum, equivariant) Schubert Calculus for complex Grassmannians. In the talk we shall focus on one of the simplest but most powerful tools of the theory, the integration by parts formula. It will enable us to guess the shape of the vertex operators arising in the representation theory of certain infinite dimensional Lie algebras. In spite of the fancy vocabulary used in the abstract, the talk shall be entirely selfcontained and no special prerequisite, but elementary multilinear algebra, will be required.
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Last Updated on Thursday, 10 January 2019 16:17 
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This is the web site of the Algebraic Topology Team in Barcelona (Grup de Topologia Algebraica de Barcelona, 2014SGR42 and Homotopy theory of algebraic structures, MTM201680439P).
Our research interests include a variety of subjects in algebraic topology, group theory, homological algebra, and category theory. Here you will find information about us and our common activities. 

