IISER Mohali, Knowledge city, Sector 81, SAS Nagar, Manauli PO 140306

"Groups meet metric spaces"

Michael Cowling, University of New South Wales (Australia)

Zoom Link

Location Online
Abstract: This talk is about joint work with Ville Kivioja, Enrico Le Donne, Sebastiano Nicolussi Golo and Allessandro Ottazzi. in the 1970s Gromov proved his celebrated polynomial growth theorem, that every finitely generated group of polynomial growth is almost nilpotent. The proof proceeds by "constructing" a nilpotent Lie group with a group invariant metric and uses ideas from Lie theory. This proof raises many questions about Lie groups (and homogeneous spaces) with invariant metrics. We attempt to provide a framework to discuss these questions and answer some of them.

Meeting ID: 981 6788 0035
Passcode: 773650
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