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Amitsur Algebra: Nir Gadish | Einstein Institute of Mathematics

Amitsur Algebra: Nir Gadish

Date: 
Thu, 29/06/201712:00-13:00
Location: 
Manchester 209
Title: Stability patterns in representation theory and applications
Abstract:
Many natural sequences of objects come equipped with group actions, e.g. the symmetric group on n letters acting on a space X_n. This leads to fundamental instability of invariants, such as homology, arising from the representation theory of the sequence of groups. Representation stability is a new and increasingly important set of ideas that describe a sense in which such sequence of representations (of different groups) stabilizes.
This talk will introduce the mentioned new type of stability, where it arises in "nature", some applications, and which clues it leaves for the existence of a deeper theory.