Blogs about: 254b Expansion In Groups
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254B, Notes 7: Sieving and expanders
In this final set of course notes, we discuss how (a generalisation of) the expansion results obtained in the preceding notes can be used for some nnumber-theoretic applications, and in particular to… more →
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254B, Notes 7: Sieving and expanders
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wrote 1 year ago: In this final set of course notes, we discuss how (a generalisation of) the expansion results obtain … more →
254B, Notes 6: Non-concentration in subgroups
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wrote 1 year ago: In the last three notes, we discussed the Bourgain-Gamburd expansion machine and two of its three in … more →
254B, Notes 5: Product theorems, pivot arguments, and the Larsen-Pink non-concentration inequality
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wrote 1 year ago: In the previous set of notes, we saw that one could derive expansion of Cayley graphs from three ing … more →
254B, Notes 4: The Bourgain-Gamburd expansion machine
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wrote 1 year ago: We have now seen two ways to construct expander Cayley graphs . The first, discussed in Notes 2, is … more →
254B, Notes 3: Quasirandom groups, expansion, and Selberg's 3/16 theorem
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wrote 1 year ago: In the previous set of notes we saw how a representation-theoretic property of groups, namely Kazhda … more →
254B, Notes 2: Cayley graphs and Kazhdan's property (T)
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wrote 1 year ago: In the previous set of notes we introduced the notion of expansion in arbitrary -regular graphs. For … more →
254B, Notes 1: Basic theory of expander graphs
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wrote 1 year ago: The objective of this course is to present a number of recent constructions of expander graphs, whic … more →
Course announcement: 254B, expansion in groups of Lie type
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wrote 1 year ago: In the Winter quarter (starting on January 9), I will be teaching a graduate course on expansion in … more →
