Asymptotic representation theory over Z


Tom Church


Harvard University

Thursday, April 13, 2017


Talk at 4:30 p.m. in Science Center A

Tea at 4:00 p.m. in the Math Lounge


Abstract: Representation theory over Z is famously intractable, but "representation stability" provides a way to get around these difficulties, at least asymptotically, by enlarging our groups until they behave more like commutative rings. Moreover, it turns out that important questions in topology / number theory / representation theory / ... correspond to asking whether familiar algebraic properties hold for these "rings". I'll explain how these connections work; describe what we know and don't know; and give a wide sampling of concrete applications in different fields. No knowledge of representation theory will be required -- indeed, that's sort of the whole point!


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Posted: February 9, 2017    URL: