Abstract:Groups are encountered early on in one’s education. Many groups that one learns already in undergraduate studies are in fact matrix groups with coefficients which can be numbers from finite fields to real and complex numbers or these days p-adic numbers. Such groups, called finite groups of Lie type or real Lie groups or p-adic groups as the case may be, have been playing a dominant role in many parts of mathematics. The lecture will be a gentle introduction to some of these topics.
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