Abstract
The notions and auxiliary theorems which we shall use are all standard from basic undergraduate courses in linear algebra and analysis. However, such courses are structured to provide broad foundations, and there is no time for them to go deeper into certain directions. The present exposition provides an opportunity to exhibit such a direction for students at the undergraduate level by putting together notions which are separated in the courses, such as the derivative as linear map, the exponential series applied to linear maps, positive definite matrices, length of curves, etc. One way to use the present material is to ask interested students themselves to read it and present it to others in a special undergraduate colloquium, seminar, or math club. I have done so successfully at Yale.
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Lang, S. (1999). Bruhat-Tits Spaces. In: Math Talks for Undergraduates. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1476-2_5
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DOI: https://doi.org/10.1007/978-1-4612-1476-2_5
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