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Title: A higher dimensional analog of Margulis’ construction of expanders
Speaker: Arghya Mondal (Chennai Mathematical Institute)
Date: 02 December 2022
Time: 11:00 am
Venue: LH-1

Expanders are a family of finite graphs that are sparse but highly connected. The first explicit examples of expanders were quotients of a Cayley graph of a discrete group with Property (T) by finite index subgroups. This was due to Margulis. In recent years, higher dimensional generalizations of expander graphs (family of simplicial complexes of a fixed dimension) have received much attention. I will talk about a generalization of Margulis’ group theoretic construction that replaces expanders by one of its higher analogs.


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Last updated: 03 Feb 2023